Robust fuzzy control of a class of fuzzy bilinear systems with time-delay

Shun Hung Tsai; Tzuu Hseng S. Li

doi:10.1016/j.chaos.2007.06.057

Robust fuzzy control of a class of fuzzy bilinear systems with time-delay

Shun Hung Tsai, Tzuu Hseng S. Li

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

73 Citations (Scopus)

Abstract

This paper presents robust fuzzy controllers for a class of T-S fuzzy bilinear systems (FBSs) with time-delay. First, we adopt the parallel distributed compensation (PDC) method to design a fuzzy controller to stabilize the T-S FBS with time-delay. The stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Secondly, we propound some LMI conditions to set up the robust controller to stabilize the uncertain T-S FBS with time-delay. Finally, the validity and applicability of the proposed schemes are demonstrated by simulations.

Original language	English
Pages (from-to)	2028-2040
Number of pages	13
Journal	Chaos, solitons and fractals
Volume	39
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2007.06.057
Publication status	Published - 2009 Mar 15

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2007.06.057

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abstract = "This paper presents robust fuzzy controllers for a class of T-S fuzzy bilinear systems (FBSs) with time-delay. First, we adopt the parallel distributed compensation (PDC) method to design a fuzzy controller to stabilize the T-S FBS with time-delay. The stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Secondly, we propound some LMI conditions to set up the robust controller to stabilize the uncertain T-S FBS with time-delay. Finally, the validity and applicability of the proposed schemes are demonstrated by simulations.",

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N2 - This paper presents robust fuzzy controllers for a class of T-S fuzzy bilinear systems (FBSs) with time-delay. First, we adopt the parallel distributed compensation (PDC) method to design a fuzzy controller to stabilize the T-S FBS with time-delay. The stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Secondly, we propound some LMI conditions to set up the robust controller to stabilize the uncertain T-S FBS with time-delay. Finally, the validity and applicability of the proposed schemes are demonstrated by simulations.

AB - This paper presents robust fuzzy controllers for a class of T-S fuzzy bilinear systems (FBSs) with time-delay. First, we adopt the parallel distributed compensation (PDC) method to design a fuzzy controller to stabilize the T-S FBS with time-delay. The stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Secondly, we propound some LMI conditions to set up the robust controller to stabilize the uncertain T-S FBS with time-delay. Finally, the validity and applicability of the proposed schemes are demonstrated by simulations.

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Robust fuzzy control of a class of fuzzy bilinear systems with time-delay

Abstract

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