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l2-l∞ Control for Sampled-data Systems with Packet dDopout: Switched System Method

Xiaoling Li and Linlin Hou*
International Journal of Control, Automation, and Systems, vol. 17, no. 11, pp.2746-2753, 2019

Abstract : In this paper, the problem of l2 −l∞ control is investigated for the sampled-data systems including packet dropout. The sampled-data system is modeled as a discrete-time switched system based on the number of lost packets. Then the controller is designed to guarantee the discrete-time switched system is exponentially stable with a prescribed l2 −l∞ performance subject to mode dependent average dwell time approach. The sufficient conditions to solve the controller gain is derived via a set of linear matrix inequalities (LMIs). Finally, an example is presented to show the effectiveness of the obtained results.

Keyword : Discrete-time switched system, exponential stability, l2 − l∞ performance, mode-dependent average dwell time, packet dropout.

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