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Dynamic sliding mode control for a class of systems with mismatched uncertainty. (English) Zbl 1293.93172
Summary: In this paper, a robust stabilization problem for a class of uncertain systems is studied using sliding mode techniques. Matched and mismatched uncertainties are both considered. By employing the sliding surface proposed by C. Edwards and S. K. Spurgeon in [Int. J. Control 62, No. 5, 1129–1144 (1995; Zbl 0849.93012)], the stability of the sliding mode is shown first. Then, an asymptotic observer is established to estimate the system state variable based on a constrained Lyapunov equation, and a variable structure controller is proposed to stabilize the system by exploiting the estimated state and system output. The two major limitations in C. M. Kwan [IEEE Trans Autom Control 41, No. 11, 1691–1693 (1996; Zbl 0875.93056)] are eliminated. Finally, a simulation study based on a simplified model of the HIRM aircraft system is used to illustrate the effectiveness of the results.

93B12 Variable structure systems
93D21 Adaptive or robust stabilization
Full Text: DOI
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