Relaxed fuzzy control synthesis of nonlinear networked systems under unreliable communication links |
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| Affiliation: | 1. Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, PR China;2. School of Mechatronic Engineering and Automation, Shanghai University, 200072, PR China;1. School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;2. School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China;3. School of Computer Science and Technology, Huaiyin Normal University, Huai’an 223300, China;4. School of Mathematical Science, Huaiyin Normal University, Huai’an 223300, China;1. Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano, I-20133 Milan, Italy;2. MTA-DE Particle Physics Research Group, H-4010 Debrecen, PO Box 105, Hungary;3. Dipartimento di Fisica, Università di Napoli and INFN, Sezione di Napoli, I-80126 Naples, Italy |
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| Abstract: | This paper proposes relaxed conditions for control synthesis of discrete-time Takagi–Sugeno fuzzy control systems under unreliable communication links. To widen the applicability of the fuzzy control approach under network environments, a novel fuzzy controller, which is homogenous polynomially parameter-dependent on both the current-time normalized fuzzy weighting functions and the multi-steps-past normalized fuzzy weighting functions, is provided to make much more use of the information of the underlying system. Moreover, a new kind of slack variable approach is also developed and thus the algebraic properties of these multi-instant normalized fuzzy weighting functions are collected into some augmented matrices. As a result, the conservatism of control synthesis of discrete-time Takagi–Sugeno fuzzy control systems under unreliable communication links can be significantly reduced. Two illustrative examples are presented to demonstrate the effectiveness of the theoretical development. |
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| Keywords: | Control synthesis Networked control systems Slack variable Packet loss Takagi–Sugeno fuzzy system |
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