Abstract
This paper investigates the problem of designing a robust \(\mathcal{H}_\infty\) state feedback plus state-derivative feedback control mechanism for a class of uncertain nonlinear markovian jump systems with time varying delay described by a Takagi-Sugeno (T-S) fuzzy model. The linear matrix inequalities (LMIs) approach is applied to derive a robust controller for such a system. The proposed controller satisfies design requirements that ensure that the closed-loop system is asymptotically stable and meets pre-prescribed \(\mathcal{H}_\infty\) performance index values. Finally, to illustrate the effectiveness of the design developed in this paper, a numerical example is also provided.
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Recommended by Associate Editor Xiangpeng Xie under the direction of Editor Jessie (Ju H.) Park.
Santi Ruangsang received his B.Ind.Eng. degree in Electrical Engineering from Siam University, Bangkok, Thailand, in 1998; an M.Eng. in Electrical and Information Engineering from King Mongkut’s University of Technology Thonburi, Bangkok, Thailand, in 2015; and a Ph.D. in Electrical Engineering and Information Technology from King Mongkut’s University of Technology Thonburi, Bangkok, Thailand, in 2019. His research interests include related fuzzy control, \(\mathcal{H}_\infty\) control, robust control and time-varying delay control.
Wudhichai Assawinchaichote received his B.Eng. (Hons) in Electronic Engineering from Assumption University, Bangkok, Thailand, in 1994; an M.S. in Electrical Engineering from Pennsylvania State University (Main Campus), PA, USA, in 1997; and a Ph.D. from the Department of Electrical and Computer Engineering, University of Auckland, New Zealand (2001-2004). He is currently working as a Senior Lecturer in the Department of Electronic and Telecommunication Engineering at King Mongkut’s University of Technology Thonburi, Bangkok, Thailand. His research interests include fuzzy control, robust control and filtering, Markovian jump systems and singularly perturbed systems.
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Ruangsang, S., Assawinchaichote, W. Control of Nonlinear Markovian Jump System with Time Varying Delay via Robust \(\mathcal{H}_\infty\) Fuzzy State Feedback Plus State-derivative Feedback Controller. Int. J. Control Autom. Syst. 17, 2414–2429 (2019). https://doi.org/10.1007/s12555-019-0044-2
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DOI: https://doi.org/10.1007/s12555-019-0044-2