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Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems by Xiaojie Su, Peng Shi, Ligang Wu

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6Optimal DOF Control of Switched State-Delayed Hybrid Systems

6.1 Introduction

In practice, there are always some system states that cannot be measured, so the unmeasurable state components can not be used for designing feedback control. Output feedback control is an effective control strategy to deal with systems with inaccessible state components. However, limited results have been reported on output feedback control of switched hybrid systems. In this chapter, the DOF control problem is studied for continuous-time switched hybrid systems with time-varying delays. This chapter is divided into two parts. First, we will investigate the optimal - DOF control for switched hybrid systems with time-varying delays, and the weighted - performance is first defined. By using the average dwell time approach and the piecewise Lyapunov function technique, a delay-dependent sufficient condition is proposed to assure the closed-loop system to be exponentially stable with a weighted - performance ...

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