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Construction of a new Lyapunov function for a dissipative gyroscopic system using the residual energy function Personal View

Cem CİVELEK, Özge CİHANBEĞENDİ

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 4,   Pages 629-634 doi: 10.1631/FITEE.1900014

Abstract: In a dissipative gyroscopic system with four degrees of freedom and tensorial variables in contravariant (right upper index) and covariant (right lower index) forms, a Lagrangian-dissipative model, i.e., {L, D}-model, is obtained using second-order linear differential equations. The generalized elements are determined using the {L, D}-model of the system. When the prerequisite of a Legendre transform is fulfilled, the Hamiltonian is found. The Lyapunov function is obtained as a residual energy function (REF). The REF consists of the sum of Hamiltonian and losses or dissipative energies (which are negative), and can be used for stability by Lyapunov’s second method. Stability conditions are mathematically proven.

Keywords： Lyapunov function     Residual energy function     Stability of dissipative gyroscopic system    

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Adaptive tracking control for air-breathing hypersonic vehicles with state constraints Article

Gong-jun LI

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 5,   Pages 599-614 doi: 10.1631/FITEE.1500464

Abstract: We investigate the adaptive tracking problem for the longitudinal dynamics of state-constrained airbreathing hypersonic vehicles, where not only the velocity and the altitude, but also the angle of attack (AOA) is required to be tracked. A novel indirect AOA tracking strategy is proposed by viewing the pitch angle as a new output and devising an appropriate pitch angle reference trajectory. Then based on the redefined outputs (i.e., the velocity, the altitude, and the pitch angle), a modified backstepping design is proposed where the barrier Lyapunov function is used to solve the state-constrained control problem and the control gain of this class of systems is unknown. Stability analysis is given to show that the tracking objective is achieved, all the closed-loop signals are bounded, and all the states always satisfy the given constraints. Finally, numerical simulations verify the effectiveness of the proposed approach.

Keywords： Hypersonic vehicle     Constraints     Output redefinition     Barrier Lyapunov function    

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Fixed-time constrained acceleration reconstruction scheme for robotic exoskeleton via neural networks Research

Tao Xue, Zi-wei Wang, Tao Zhang, Ou Bai, Meng Zhang, Bin Han,taozhang@tsinghua.edu.cn

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 5,   Pages 649-808 doi: 10.1631/FITEE.1900418

Abstract: Accurate acceleration acquisition is a critical issue in the system, but it is difficult to directly obtain the acceleration via the existing sensing systems. The existing algorithm-based acceleration acquisition methods put more attention on finite-time convergence and disturbance suppression but ignore the error constraint and s. To this end, a novel radical bias function neural network (RBFNN) based fixed-time reconstruction scheme with error constraints is designed to realize high-performance acceleration estimation. In this scheme, a novel exponential-type is proposed to handle the error constraints. It also provides a unified and concise Lyapunov stability-proof template for constrained and non-constrained systems. Moreover, a fractional power sliding mode control law is designed to realize , where the convergence time is irrelevant to initial states or external disturbance, and depends only on the chosen parameters. To further enhance observer robustness, an RBFNN with the adaptive weight matrix is proposed to approximate and attenuate the completely unknown disturbances. Numerical simulation and human subject experimental results validate the unique properties and practical robustness.

Keywords： 加速度重构；固定时间收敛；约束控制；障碍李雅普诺夫函数；初始状态无关方法；外骨骼机器人    

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The Control Strategy of SVG in Outer Loop Controller Based on Artificial Immunity Algorithm

Yang Jianning,Sun Yukun,Li Zicheng,Sun Yunyuan

Strategic Study of CAE 2007, Volume 9, Issue 10,   Pages 30-35

Abstract:

The control strategy of SVG controller in outer loop based on artificial immunity arithmetic was brought forward in this paper in control technique about voltage error—reactive power in static var generator's controller in allusion to complex control object of multi-dimensional and non-linear power system.  Bionically simulating the immune process of human body in which the immunity system can bring excellent antibody for biting evil invasive antigen and maintain normal function, the control strategy takes voltage fluctuate as equivalence antigen and produces antibody for voltage stabilization. Output reference value of reactive power instruction in inner loop is gained by identifying voltage change factor in power system which corresponds to antigen mater in immunity system and setting model with fuzzy scheme for cell activation process with Mamdani fuzzy reasoning and gravitational and center fuzzy measure.  The control scheme of simulation immune mechanism brought forward in the paper is proved effective on stability of power system through the outline parameter training of the SVG simulation controller on on power system of one generator with two close loop structur the fault influence analysis about short circuit in triphase symmetry power system and comparison with parameter change by PI control manner.

Keywords： power system     SVG     mimic humoral immune response model (MHIRM)     Lyapunov energy function    

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Stability of General Linear Dynamic Multi-Agent Systems under Switching Topologies with Positive Real Eigenvalues Article

Shengbo Eben Li, Zhitao Wang, Yang Zheng, Diange Yang, Keyou You

Engineering 2020, Volume 6, Issue 6,   Pages 688-694 doi: 10.1016/j.eng.2020.05.006

Abstract:

The time-varying network topology can significantly affect the stability of multi-agent systems. This paper examines the stability of leader–follower multi-agent systems with general linear dynamics and switching network topologies, which have applications in the platooning of connected vehicles. The switching interaction topology is modeled as a class of directed graphs in order to describe the information exchange between multi-agent systems, where the eigenvalues of every associated matrix are required to be positive real. The Hurwitz criterion and the Riccati inequality are used to design a distributed control law and estimate the convergence speed of the closed-loop system. A sufficient condition is provided for the stability of multi-agent systems under switching topologies. A common Lyapunov function is formulated to prove closed-loop stability for the directed network with switching topologies. The result is applied to a typical cyber–physical system—that is, a connected vehicle platoon—which illustrates the effectiveness of the proposed method.

Keywords： Stability     Multi-agent system     Switching topologies     Common Lyapunov function    

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Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time Research Article

Linlin HOU, Xuan MA, Haibin SUN,houtingting8706@126.com,maxuan24@163.com,fengyun198212@163.com

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 5,   Pages 810-822 doi: 10.1631/FITEE.2000698

Abstract: The problem of stabilizing switched linear systems under is addressed. The method is applied to design a switching signal that comprises slow and fast . Under this switching signal, the restriction that the maximum delay of is known in advance is removed. The constructed Lyapunov function is associated with both the system mode and controller mode. The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal. Finally, two examples are given to demonstrate the effectiveness of the proposed results.

Keywords： Asynchronous switching     Admissible edge-dependent average dwell time     Multi-Lyapunov function    

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Performance Evaluation in Automatic Target Recognition Based on Lyapunov Stability Theory

Li Yanpeng,Li Xiang,Wang Hongqiang,Zhuang Zhaowen,Liang Diannong

Strategic Study of CAE 2005, Volume 7, Issue 7,   Pages 39-42

Abstract:

Aiming at performance evaluation of automatic target recognition (ATR), the dynamic model is built. Then, with the application of Lyapunov stability theory, the stability of performance in ATR system is analyzed. At the same time, a simple simulation for the theory is given.

Keywords： automatic target recognition     performance evaluation     stability    

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Switching-based stabilization of aperiodic sampled-data Boolean control networks with all subsystems unstable Research Articles

Liang-jie SUN, Jian-quan LU, Wai-Ki CHING

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 2,   Pages 260-267 doi: 10.1631/FITEE.1900312

Abstract: We aim to further study the global stability of Boolean control networks (BCNs) under aperiodic sampleddata control (ASDC). According to our previous work, it is known that a BCN under ASDC can be transformed into a switched Boolean network (SBN), and further global stability of the BCN under ASDC can be obtained by studying the global stability of the transformed SBN. Unfortunately, since the major idea of our previous work is to use stable subsystems to offset the state divergence caused by unstable subsystems, the SBN considered has at least one stable subsystem. The central thought in this paper is that switching behavior also has good stabilization; i.e., the SBN can also be stable with appropriate switching laws designed, even if all subsystems are unstable. This is completely different from that in our previous work. Specifically, for this case, the dwell time (DT) should be limited within a pair of upper and lower bounds. By means of the discretized Lyapunov function and DT, a sufficient condition for global stability is obtained. Finally, the above results are demonstrated by a biological example.

Keywords： Aperiodic sampled-data control     Boolean control networks     Unstable subsystem     Discretized Lyapunov function     Dwell time    

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Parameter value selection strategy for complete coverage path planning based on the Lü system to perform specific types of missions Research Article

Caihong LI, Cong LIU, Yong SONG, Zhenying LIANG

Frontiers of Information Technology & Electronic Engineering 2023, Volume 24, Issue 2,   Pages 231-244 doi: 10.1631/FITEE.2200211

Abstract: We propose a novel for the ; to construct a chaotic robot to accomplish the task. The algorithm can meet the requirements of high randomness and coverage rate to perform specific types of missions. First, we roughly determine the value range of the parameter of the ; to meet the requirement of being a dissipative . Second, we calculate the s to narrow the value range further. Next, we draw the phase planes of the to approximately judge the topological distribution characteristics of its trajectories. Furthermore, we calculate the of the variable for those good ones to judge its random characteristics. Finally, we construct a chaotic robot using variables with the determined parameter values and simulate and test the coverage rate to study the relationship between the coverage rate and the random characteristics of the variables. The above selection strategy gradually narrows the value range of the parameter according to the randomness requirement of the coverage trajectory. Using the proposed strategy, proper variables can be chosen with a larger to construct a chaotic robot with a higher coverage rate. Another chaotic , the Lorenz , is used to verify the feasibility and effectiveness of the designed strategy. The proposed strategy for enhancing the coverage rate of the mobile robot can improve the efficiency of accomplishing CCPP tasks under specific types of missions.

Keywords： Chaotic mobile robot     Lü     system     Complete coverage path planning (CCPP)     Parameter value selection strategy     Lyapunov exponent     Pearson correlation coefficient    

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Finite-time formation control for first-order multi-agent systems with region constraints Research Articles

Zhengquan Yang, Xiaofang Pan, Qing Zhang, Zengqiang Chen,zquanyang@163.com,1219006322@qq.com,qz120168@hotmail.com,chenzq@nankai.edu.cn

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 1,   Pages 1-140 doi: 10.1631/FITEE.2000177

Abstract: In this study, the control of s with region constraints is studied. Multiple agents have first-order dynamics and a common target area. A novel control algorithm is proposed using local information and interaction. If the communication graph is undirected and connected and the desired framework is rigid, it is proved that the controller can be used to solve the formation problem with a target area. That is, all agents can enter the desired region in finite time while reaching and maintaining the desired formation shapes. Finally, a numerical example is given to illustrate the results.

Keywords： Finite-time formation     Multi-agent system     Asymptotic convergence     Set constraint     Lyapunov theorem    

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Study on the Universality of the Normal Cloud Model

Li Deyi,Liu Changyu

Strategic Study of CAE 2004, Volume 6, Issue 8,   Pages 28-34

Abstract:

The distribution function is an important tool for the study of the stochastic variances. The normal distribution is very popular in the nature and human society. The idea of membership functions is the foundation of the fuzzy sets theory. While the fuzzy theory is widely used, the completely certain membership function which has no any fuzziness at all has been the bottleneck of the applications of this theory. Cloud models are effective tools in transforming between qualitative concepts and their quantitative expressions. It can represent the fuzziness and randomness and their relations of uncertain concepts. Also cloud models can show the concept granularity in multi-scale spaces by the digital characteristic Entropy (En). The normal cloud models not only broaden the formation conditions of the normal distribution but also make the normal membership function be the expectation of the random membership degree. In this paper, the universality of the normal cloud model is proved,which is more superior and easier, and can fit the fuzziness and gentleness in human cognizing process. It would be more applicable and universal in the representation of uncertain notions.

Keywords： normal distribution function     membership degree     normal cloud model     granularity     universality    

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The Strict Avalanche Criterion of Order k Spectral Properties of m-Valued Logical Functions

Guojinhui,LiShiqu

Strategic Study of CAE 2005, Volume 7, Issue 12,   Pages 45-48

Abstract:

Many cryptographic properties of m - valued logical functions are often described by their Chrestenson cyclic spectrums and auto-correlation functions, so Chrestenson cyclic spectrums and autocorrelation functions play important roles in properties and construct ions for m-valued logical functions. In this paper, in residue class ring Zm, the concept of the strict avalanche criterion of order k of m-valued logical functions is presented. Then, by applying probabilistic thought and methods, the rule that a w-valued logical function fulfills the SAC of lower order if it fulfills the SAC of higher order is proved. Finally, by Chrestenson cyclic spectrums, a necessary and sufficient condition on a m-valued logical function is given, which fulfills the strict avalanche criterion of order k.

Keywords： m-valued logical function     Chrestenson cyclic spectrum     auto-correlation function     the strict avalanche criterion    

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The Constructions of Cryptographic Functions

Teng Jihong,Zhang Wenying,Liu Wenfen,Li Shiqu

Strategic Study of CAE 2003, Volume 5, Issue 7,   Pages 47-52

Abstract:

This paper investigates a decomposition formula of Walsh spectrum for a class of Boolean functions. On the basis of this formula, the constructions of some cryptographic functions, such as resilient functions, Bent functions and H-Boolean function are studied H-Boolean function is a class of Boolean functions of much importance to the applications of coding theory and satisfying the strict Avalanche criterion.

Keywords： Walsh spectrum     decomposition formula of Walsh spectrum     Bent function     resilient function     strict avalanche criterion    

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The Cryptographic Properties of Select Logic Functions

Liang Zeng,Li Shiqu

Strategic Study of CAE 2005, Volume 7, Issue 7,   Pages 50-54

Abstract:

In this paper, the main results are concerned with the Walsh transform and the autocorrelation function of select logic functions. Select logic functions with large number of variables have perfect stability and can resist towards cryptanalysis of best affine approximation, but they can't resist towards differential cryptanalysis efficiently because of weak propagation property. By a linear transformation of coordinates, an explicit construction for functions satisfying the strict avalanche criterion or Being correlation immune is provided.

Keywords： select logic function     Walsh transform     autocorrelation function     strict avalanche criterion     correlation immune     probability expressions    

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Analogue Difference Balanced Function and Its Applications

Zhang Wenying,Li Shiqu

Strategic Study of CAE 2004, Volume 6, Issue 3,   Pages 45-52

Abstract:

This paper presents the concept of analogous difference of Boolean function, and call the Boolean function an analogue difference balanced function if whose analogous difference is balanced at any nonzero point. The aim of this paper is to study their cryptographic properties and construction methods. Making use of analogue bent functions, the paper proposes an efficient and sufficient condition for a logical function defined on 〓 to be perfect nonlinear, and get all perfect nonlinear functions defined on 〓.

Keywords： Bent function     perfect nonlinear function     2-radical expansion     analogue difference     analogue auto-correlation function     analogue difference balanced function    

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Title Author Date Type Operation

Construction of a new Lyapunov function for a dissipative gyroscopic system using the residual energy function

Cem CİVELEK, Özge CİHANBEĞENDİ

Journal Article

Adaptive tracking control for air-breathing hypersonic vehicles with state constraints

Gong-jun LI

Journal Article

Fixed-time constrained acceleration reconstruction scheme for robotic exoskeleton via neural networks

Tao Xue, Zi-wei Wang, Tao Zhang, Ou Bai, Meng Zhang, Bin Han,taozhang@tsinghua.edu.cn

Journal Article

The Control Strategy of SVG in Outer Loop Controller Based on Artificial Immunity Algorithm

Yang Jianning,Sun Yukun,Li Zicheng,Sun Yunyuan

Journal Article

Stability of General Linear Dynamic Multi-Agent Systems under Switching Topologies with Positive Real Eigenvalues

Shengbo Eben Li, Zhitao Wang, Yang Zheng, Diange Yang, Keyou You

Journal Article

Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time

Linlin HOU, Xuan MA, Haibin SUN,houtingting8706@126.com,maxuan24@163.com,fengyun198212@163.com

Journal Article

Performance Evaluation in Automatic Target Recognition Based on Lyapunov Stability Theory

Li Yanpeng,Li Xiang,Wang Hongqiang,Zhuang Zhaowen,Liang Diannong

Journal Article

Switching-based stabilization of aperiodic sampled-data Boolean control networks with all subsystems unstable

Liang-jie SUN, Jian-quan LU, Wai-Ki CHING

Journal Article

Parameter value selection strategy for complete coverage path planning based on the Lü system to perform specific types of missions

Caihong LI, Cong LIU, Yong SONG, Zhenying LIANG

Journal Article

Finite-time formation control for first-order multi-agent systems with region constraints

Zhengquan Yang, Xiaofang Pan, Qing Zhang, Zengqiang Chen,zquanyang@163.com,1219006322@qq.com,qz120168@hotmail.com,chenzq@nankai.edu.cn

Journal Article

Study on the Universality of the Normal Cloud Model

Li Deyi,Liu Changyu

Journal Article

The Strict Avalanche Criterion of Order k Spectral Properties of m-Valued Logical Functions

Guojinhui,LiShiqu

Journal Article

The Constructions of Cryptographic Functions

Teng Jihong,Zhang Wenying,Liu Wenfen,Li Shiqu

Journal Article

The Cryptographic Properties of Select Logic Functions

Liang Zeng,Li Shiqu

Journal Article

Analogue Difference Balanced Function and Its Applications

Zhang Wenying,Li Shiqu

Journal Article