Guaranteed Cost Control for Fuzzy Bilinear Systems with Uncertain Parameters

Abstract:

The main theme of this paper is to present robust guaranteed cost control laws for a class of fuzzy bilinear systems (FBS) with parametric uncertainties. First, the piecewise Lyapunov function (PLF) method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system, and then the robust guaranteed cost control law is also proposed. Second, based on the Schur complement and some variable transformations, some sufficient conditions are derived to guarantee the stability of the overall fuzzy control system via linear matrix inequalities (LMIs). Finally, a numerical example is utilized to demonstrate the validity and effectiveness of the proposed control scheme.

• Periodical: Advanced Materials Research (Volumes 433-440)
• Pages: 1723-1729
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.433-440.1723
• Online since: January 2012
• Authors: Ze Feng Gao, Jun Chen, Fei Liu
• Keywords: Fuzzy Bilinear System (FBS), Guaranteed Cost Control, Linear Matrix Inequality (LMI), Parametric Uncertainty, Takagi-Sugeno (T-S)

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