T-S fuzzy tracking control of nonlinear constrained time-delay systems using a reference-management approach |
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| Institution: | 1. School of Electrical Engineering and Computer Science, Washington State University, Pullman WA, USA;2. College of Information Science and Engineering, Northeastern University, Shenyang, China;3. Department of Electrical Engineering, Mathematics and Computer Science, University of Twente, Enschede, the Netherlands;1. School of Electrical Engineering, Chungbuk National University, Cheongju 28644, South Korea;2. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;3. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea;1. Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, 150006, PR China;2. Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA |
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| Abstract: | A new control design approach is proposed for a class of nonlinear systems expressed by Takagi–Sugeno (T-S) fuzzy model, considering several objectives including robustness against input time-varying delay, input constraint satisfaction, and reference tracking. The proposed controller is designed on the basis of an augmented model, Lyapunov–Krasovskii functional, linear matrix inequality (LMI) tools, and parallel distributed compensation (PDC) approach. Proof of the input-to-state stability (ISS) criterion is provided for the error dynamics. Input constraint satisfaction is performed using a reference-management algorithm based on the linearized closed-loop system from the reference input to the constrained variables. In order to illustrate the effectiveness of the proposed control approach, simulations are performed on three practical examples, including a flexible-joint robot and a continuous stirred tank reactor (CSTR). |
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