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State space optimization of finite state machines from the viewpoint of control theory Research Article

Jumei Yue, Yongyi Yan, Zengqiang Chen, He Deng,yjm@mail.nankai.edu.cn,yyyan@mail.nankai.edu.cn

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 12,   Pages 1551-1684 doi: 10.1631/FITEE.2000608

Abstract: Motivated by the inconvenience or even inability to explain the mathematics of the state of (FSMs) in most existing results, we consider the problem by viewing FSMs as logical dynamic systems. Borrowing ideas from the concept of equilibrium points of dynamic systems in control theory, the concepts of -equivalent states and -source equivalent states are introduced. Based on the state transition dynamic equations of FSMs proposed in recent years, several mathematical formulations of -equivalent states and -source equivalent states are proposed. These can be analogized to the necessary and sufficient conditions of equilibrium points of dynamic systems in control theory and thus give a mathematical explanation of the optimization problem. Using these mathematical formulations, two methods are designed to find all the -equivalent states and -source equivalent states of FSMs. Further, two ways of reducing the state space of FSMs are found. These can be implemented without computers but with only pen and paper in a mathematical manner. In addition, an open question is raised which can further improve these methods into unattended ones. Finally, the correctness and effectiveness of the proposed methods are verified by a practical language model.

Keywords: 有限状态自动机;有限值系统;逻辑系统;逻辑网络;矩阵半张量积;空间优化    

A matrix-based static approach to analysis of finite state machines Research Article

He DENG, Yongyi YAN, Zengqiang CHEN,yyyan@mail.nankai.edu.cn

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 8,   Pages 1239-1246 doi: 10.1631/FITEE.2100561

Abstract: Traditional matrix-based approaches in the field of construct state transition matrices, and then use the powers of the state transition matrices to represent corresponding dynamic transition processes, which are cornerstones of system analysis. In this study, we propose a static matrix-based approach that revisits a finite state machine from its structure rather than its dynamic transition process, thus avoiding the "explosion of complexity" problem inherent in the existing approaches. Based on the static approach, we reexamine the issues of closed-loop detection and controllability for deterministic . In addition, we propose controllable equivalent form and minimal controllable equivalent form concepts and give corresponding algorithms.

Keywords: Logical systems     Finite-valued systems     Semi-tensor product of matrices     Finite state machines     Matrix approaches    

Research of the Optimum SNR Thresholds of AQAM System Over Multi-path Rayleigh Channel

Gao Huanqin,Feng Guangzeng,Zhu Qi

Strategic Study of CAE 2006, Volume 8, Issue 1,   Pages 67-71

Abstract:

Adaptive modulation techniques can improve the BER (bit error rate) performance or the average throughput by employing a suitable modulation mode depending on the instantaneous channel SNR (signal-to-noise ridio). In this paper the optimum SNR thresholds over a 6-path Rayleigh channel are derived, which shows a superior BPS (bit per symbol) throughput performance while maintaining the target average BER. The 6-path Rayleigh channel is often applied to mobile environment with high-speed. The results achieved in this paper can be applied to the adaptive modulation system with the channel of ITU-R M. 1225 Vehicular Test A mode.

Keywords: adaptive modulation     AQAM     optimum switching-level    

Finite-time leader-follower consensus of a discrete-time system via sliding mode control Research Article

Ruizhuo SONG, Shi XING, Zhen XU

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 7,   Pages 1057-1068 doi: 10.1631/FITEE.2100565

Abstract: In this study, we solve the problem of discrete-time second-order (MASs) under the constraints of external disturbances. First, a novel consensus scheme is designed using a novel theory. Our adaptive controller is designed using the traditional sliding mode reaching law, and its advantages are chatter reduction and invariance to disturbances. In addition, the stability is demonstrated by presenting a discrete Lyapunov function. Finally, simulation results are presented to prove the validity of our theoretical results.

Keywords: Finite-time     Leader-follower consensus     Adaptive sliding mode control     Multi-agent systems    

Research on structural health monitoring (SHM) system based on RTK GPS system

Wang Renpeng,Yao Lianbi,Meng Xiaolin

Strategic Study of CAE 2011, Volume 13, Issue 3,   Pages 63-70

Abstract:

For the huge amount of raw data that were obtained during field data acquisition by the real-time kinematic global positioning system (RTK GPS) in structural health monitoring (SHM) system of the Nanpu Bridge in Shanghai, we finished lots of processing works and obtain x-coordinate , y-coordinate,z-coordinate time series of all 12 monitoring station points. The coordinate time series were treated as the multi-outputs of the dynamic system and used to build the state space model and ARMA model and spectrum estimations for the response. The analysis results were consistent with the results of test that completed when the bridge was opened in 1990 and results that forecasted by fine finite element (FE) model. The research illustrated that the state-space model and ARMA model were efficient tools for evaluation of performance of civil structures, and furtherly proved the possibility of building the prototype SHM that based on RTK GPS.

Keywords: RTK GPS system     time series     state-space model     ARMA model     finite element model    

Event-triggered adaptive finite-time control for nonlinear systems under asymmetric time-varying state constraints Research Article

Yan Wei, Jun Luo, Huaicheng Yan, Yueying Wang,wyy676@126.com

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 12,   Pages 1551-1684 doi: 10.1631/FITEE.2000692

Abstract: This paper investigates the issue of event-triggered adaptive state-constrained control for multi-input multi-output uncertain nonlinear systems. To prevent asymmetric time-varying from being violated, a tan-type is established to transform the considered system into an equivalent “non-constrained” system. By employing a smooth switch function in the virtual control signals, the singularity in the traditional dynamic surface control can be avoided. Fuzzy logic systems are used to compensate for the unknown functions. A suitable event-triggering rule is introduced to determine when to transmit the control laws. Through Lyapunov analysis, the closed-loop system is proved to be semi-globally practical stable, and the are never violated. Simulations are provided to evaluate the effectiveness of the proposed approach.

Keywords: 事件触发控制;非线性映射;自适应模糊控制;有限时间;状态约束    

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    

Preliminary application study of performance-based method for seismic design and evaluation of nuclear safety related structure in nuclear power station

Chen Mao,Lu Shi

Strategic Study of CAE 2013, Volume 15, Issue 4,   Pages 57-61

Abstract:

This paper introduces the development of performance-based method (PBM) for seismic design and evaluation of nuclear safety related structure in nuclear power station in U. S., and systematically explains and discusses the PBM. Based on the updated research and available standards and codes, the main content of PBM includes following 5 aspects: Category of systems structures and components(SSC) according to different performance goal, Determination of performance goal of SSC, determination of seismic input based on PSHA, Fragility Analysis of SSC, and ensure sufficient conservatism of fragility safety to reasonably achieve target performance goal. This paper also gives some recommendations on the research and development of PBM in the future.

Keywords: nuclear power plant     nuclear safety     system structure and component     performance-based     seismic safety     fragility    

Research of fulldigital electricdriven system of new type hybrid electric vehicle

Sun Yukun,Zhang Haoming

Strategic Study of CAE 2009, Volume 11, Issue 4,   Pages 57-62

Abstract:

Motor needs high efficiency, high power density and low pulsating torque in hybrid electric vehicle, traditional motors have their limits; Halbach motor is a novel permanent magnet (PM) motor: One-sided and sinusoidal field is produced by special distribution of permanent magnets. The field can increase air-gap flux while decrease rotor-yoke flux and air-gap harmonic, which can improve power density and efficiency, reduce volume and pulsating torque of motor. Halbach motor design software based on MATLAB and finite element analysis software based on ANYAS reduce period of motor design greatly. Full-digital electric-driven system of hybrid electric vehicle based on DSP2407A is designed according to Halbach motor's distinguishing feature.Experiment results prove Halbach motor has much more advantages in the system than traditional permanent magnet motor.

Keywords: hybrid electric vehicle     electric-driven system     Halbach array     PM motor     finite element analysis     motor design    

Presetting Method for Embodied Carbon Emission Limit of Building Structures

Xiao Jianzhuang, Xia Bing,Xiao Xuwen,Hu Xiaolong,Ding Tao,Zhou Ying,Zhu Hehua

Strategic Study of CAE 2023, Volume 25, Issue 2,   Pages 187-197 doi: 10.15302/J-SSCAE-2023.02.016

Abstract:

The embodied carbon emission limit is a key parameter for quantitatively regulating carbon emissions from building structures and facilitating the achievement of carbon reduction targets. Starting from the social carbon emission reduction pathway toward carbon neutrality, a carbon emission reduction target decomposition approach is proposed based on the proportions of newly built and existing buildings in building structure retention and demand, which provides limit presetting references for existing structure maintenance and new structure design. Then, the expected development scenarios of building construction in China are established referring to the carbon peaking and neutrality goals in China, and correspondingly, the carbon emission limits for four typical scenarios, i. e., maintaining the status quo, conventional expectation, regulating demolition, and reduction expectation, are respectively evaluated to be 442.6 kg CO2e·m-2, 456.2 kg CO2e·m-2, 485.9 kg CO2e·m-2, and 616.0 kg CO2e·m-2 (the designed service life is 50 years). Besides, the expected trends of carbon emission limits during the year 2022 and 2060 have also been estimated, and the contributions of emission reduction measures, including the amount regulation of newly built structures and the lifespan extension of existing structures, to the relaxation of carbon emission limits for individual structures have been clarified. Furthermore, suggestions for research related to carbon emission limit are provided from the aspects of probabilistic regulation, quantification of regional characteristics, feasibility of the target achievement, and data-driven refinement.

Keywords: building structures     embodied carbon emission limit     carbon emission reduction target decomposition     carbon peaking and neutrality     low-carbon design    

The influence analysis of foundation scouring on dynamic characteristics of the tower supporting system of offshore wind farm

Yan Genhua,Gu Hua,Lu Zhongmin,Lin Yifeng

Strategic Study of CAE 2011, Volume 13, Issue 1,   Pages 69-73

Abstract:

Based on the feature that offshore wind turbine tower supporting structures are affected by soil foundation and the ocean flow, the paper establishes 3D finite element numerical model to get dynamic characteristics of supporting system structure of different scour depths and discusses its change law in order to provide scientific basis for dynamic stability design of offshore wind turbine tower supporting structure.

Keywords: scour     offshore wind farm     supporting system     dynamic characteristics     3D finite element    

Slope Stability Analysis by Strength Reduction FEM

Zheng Yingren,Zhao Shangyi,Zhang Luyu

Strategic Study of CAE 2002, Volume 4, Issue 10,   Pages 57-61

Abstract:

An analysis method for slope safety factor through c - cp reduction algorithm by finite elements is presented. When the system reaches instability, the numerical non-convergence occurs simultaneously. The safety factor is then obtained by c - ψ reduction algorithm. The same time, the critical failure surface is found automatically. The traditional limit equilibrium method can't get the safety factor and failure surface of jointed rock slope. Strength Reduction FEM (SRFEM) presents a powerful alternative approach for slope stability analysis, especially to jointed rock slope. This paper analyzes the precision and error caused by different soil yield criterions、FEM itself、slope height、slope angle´cohesion and friction angle thoroughly. Through a series of case studies, the results show average error of safety factor between Strength Reduction FEM and traditional limit equilibrium method (Bishop simplified method) is 3 %~8 %,the error between SRFEM and Spencer's method is 1 %~4 % . The applicability of the proposed method was clearly exhibited.

Keywords: slope stability analysis     strength reduction by FEM     yield criterions    

Coupled Thermo-Mechanical Simulation of Gear Preforming Based on Finite Deformation Theory

Ying Fuqiang,Pan Xiaoyong,Li Min

Strategic Study of CAE 2007, Volume 9, Issue 7,   Pages 47-52

Abstract:

Gear preforming by cross wedge rolling is an original question for discussion, parameters such as deformation, temperature field and mechanical performance are looking forward to be researched. This paper ties the advantages of preforming by CWR and the principle of generated gear together, and the die suited for gear rolling has been designed. Based on the finite deformation theory, the coupled thermal-mechanical constitutive model of gear rolling by CWR has been established. Then FEM simulation for the forming process has been developed in MSC. SuperForm, and information gained from the simulation has been analyzed also in detail which provide references for further study of gear rolling by CWR technology.

Keywords: cross wedge rolling(CWR)     gear     coupled thermo-mechanical     FEM    

Study on Finite Element Method for Calculation of Stress on External Ring of One-way Clutch

Luo Yixin,Wu Bo

Strategic Study of CAE 2004, Volume 6, Issue 9,   Pages 56-59

Abstract:

At present there is no appropriate method for calculation of stress on external ring of a one-way clutch. In this paper, according to characteristics of the external ring, the method of finite element analyais has been used, the factors which have influence on computational accuracy have been studied, and the stress on external ring of a five roller-type one-way clutch has been calculated. Studies have shown that finite element analyais is really an attractive method for the calculation of stress on parts similar to external ring.

Keywords: clutch     external ring     stress     finite element    

Thermal Characteristics of the Main Spindle With Cooling System on the XK717 CNC Milling Machine

Wang Jinsheng,Hu Rufu,Wu Xiuhai

Strategic Study of CAE 2005, Volume 7, Issue 8,   Pages 84-88

Abstract:

The main spindle system is a key part on the machine tools. The quality of thermal behavior influences the machining accuracy of machine tools directly. In this paper, thermal characteristics of spindle system on the XK717 CNC milling machine are analyzed by combining finite element method with cooling model between spindle system and water tank. Effect rule to thermal characteristics of the main spindle system are obtained. The cooling jacket on the main spindle is improved by the results. This research provides the theoretical fundamentals for optimization design of CNC milling machine.

Keywords: thermal characteristics     finite element     optimization design     CNC milling machine    

Title Author Date Type Operation

State space optimization of finite state machines from the viewpoint of control theory

Jumei Yue, Yongyi Yan, Zengqiang Chen, He Deng,yjm@mail.nankai.edu.cn,yyyan@mail.nankai.edu.cn

Journal Article

A matrix-based static approach to analysis of finite state machines

He DENG, Yongyi YAN, Zengqiang CHEN,yyyan@mail.nankai.edu.cn

Journal Article

Research of the Optimum SNR Thresholds of AQAM System Over Multi-path Rayleigh Channel

Gao Huanqin,Feng Guangzeng,Zhu Qi

Journal Article

Finite-time leader-follower consensus of a discrete-time system via sliding mode control

Ruizhuo SONG, Shi XING, Zhen XU

Journal Article

Research on structural health monitoring (SHM) system based on RTK GPS system

Wang Renpeng,Yao Lianbi,Meng Xiaolin

Journal Article

Event-triggered adaptive finite-time control for nonlinear systems under asymmetric time-varying state constraints

Yan Wei, Jun Luo, Huaicheng Yan, Yueying Wang,wyy676@126.com

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

Preliminary application study of performance-based method for seismic design and evaluation of nuclear safety related structure in nuclear power station

Chen Mao,Lu Shi

Journal Article

Research of fulldigital electricdriven system of new type hybrid electric vehicle

Sun Yukun,Zhang Haoming

Journal Article

Presetting Method for Embodied Carbon Emission Limit of Building Structures

Xiao Jianzhuang, Xia Bing,Xiao Xuwen,Hu Xiaolong,Ding Tao,Zhou Ying,Zhu Hehua

Journal Article

The influence analysis of foundation scouring on dynamic characteristics of the tower supporting system of offshore wind farm

Yan Genhua,Gu Hua,Lu Zhongmin,Lin Yifeng

Journal Article

Slope Stability Analysis by Strength Reduction FEM

Zheng Yingren,Zhao Shangyi,Zhang Luyu

Journal Article

Coupled Thermo-Mechanical Simulation of Gear Preforming Based on Finite Deformation Theory

Ying Fuqiang,Pan Xiaoyong,Li Min

Journal Article

Study on Finite Element Method for Calculation of Stress on External Ring of One-way Clutch

Luo Yixin,Wu Bo

Journal Article

Thermal Characteristics of the Main Spindle With Cooling System on the XK717 CNC Milling Machine

Wang Jinsheng,Hu Rufu,Wu Xiuhai

Journal Article