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2015, Volume 16, Issue 9

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Frontiers of Information Technology & Electronic Engineering >> 2015, Volume 16, Issue 9 doi: 10.1631/FITEE.1500053

reference tracking control design for a class of nonlinear systems with time-varying delays

1. State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China.2. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Available online: 2015-09-11
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Abstract

This paper investigates the trajectory tracking control for a class of nonlinear systems with timevarying delays by virtue of Lyapunov-Krasovskii stability theory and the linear matrix inequality (LMI) technique. A unified model consisting of a linear delayed dynamic system and a bounded static nonlinear operator is introduced, which covers most of the nonlinear systems with bounded nonlinear terms, such as the one-link robotic manipulator, chaotic systems, complex networks, the continuous stirred tank reactor (CSTR), and the standard genetic regulatory network (SGRN). First, the definition of the tracking control is given. Second, the performance analysis of the closed-loop system including this unified model, reference model, and state feedback controller is presented. Then criteria on the tracking controller design are derived in terms of LMIs such that the output of the closed-loop system tracks the given reference signal in the sense. The reference model adopted here is modified to be more flexible. A scaling factor is introduced to deal with the disturbance such that the control precision is improved. Finally, a CSTR system is provided to demonstrate the effectiveness of the established control laws.

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