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Robust observer-based H∞ control for uncertain discrete singular systems with time-varying delays via sliding mode
Yueqiao Han1, Yonggui Kao2, Cunchen Gao3
1College of Oceanic and Atmospheric Sciences, Ocean University of China, Qingdao, 266100, PR China.
Abstract:
In this paper, the issue of robust observer-based H∞ control for uncertain discrete singular systems with time-varying delays is investigated via sliding mode control (SMC). A sliding mode strategy is presented combined with the observer technique, since the system states are unmeasured. The distinguishing feature of the provided strategy is that a novel sliding surface is constructed based upon the estimated states such that the resulting full-order closed-loop system is generated. Furthermore, by employing Lyapunov-Krasovskii functional, new sufficient criteria in terms of a solvable linear matrix inequality (LMI) is derived, insuring that the closed-loop system is admissible with an H∞-norm bound. With the solution of the LMI, a corresponding sliding mode controller is obtained for reaching motion and reducing the chattering. At last, the theoretical results are verified in numerical tests.
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