Stability analysis and L1-gain controller synthesis of switched positive T-S fuzzy systems with time-varying delays

Abstract This paper is concerned with the stability analysis and L1-gain controller synthesis problem of continuous-time switched positive T–S fuzzy systems with time-varying delays. Some sufficient conditions guaranteeing the stability and a desired L1-gain performance of an autonomous switched positive T–S fuzzy system are first presented. The sufficient conditions are developed by adopting the mode-dependent average dwell time (MDADT) technique. Then, fuzzy controllers of two classes of switched positive T–S fuzzy systems are designed without using iterative algorithm. A simulation example is presented to show the effectiveness of the obtained theoretical results.

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