Delay-Dependent Control and Stability Analysis for T-S Fuzzy Systems with a Sensor Delay
- Delay-Dependent Control and Stability Analysis for T-S Fuzzy Systems with a Sensor Delay
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The paper investigates delay-dependent control
and stability analysis for T-S fuzzy systems with a sensor
delay. Based on a Lyapunov-Krasovskii function (LKF), a less conservative delay-dependent stability condition in the form of parameterized linear matrix inequalities (PLMIs) is established. In the derivation process, Jensen inequality is introduced to estimate the upper bound of the derivative of LKF for T-S fuzzy systems with a sensor delay. Networked-controller in the form of bilinear matrix inequalities (BMIs) is designed. Since BMIs are very complicated and difficult to solve the problem, BMIs are substituted for PLMIs using some mathematical techniques. Sequentially, to fully exploit the convexity of fuzzy weighting functions, we shall replace the derived PLMIs by a finite set of linear matrix inequalities (LMIs) by considering all possible conditions associated with fuzzy weighting functions. Numerical example is provided to illustrate the effectiveness and the benefit of the proposed approach
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