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Design of Static Output Feedback Sliding Mode Control for Uncertain Linear Systems

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2 Author(s)
Jinhui Zhang ; Dept. of Autom. Control, Beijing Inst. of Technol., Beijing, China ; Yuanqing Xia

This paper considers the problem of designing a sliding mode controller via static output feedback for a class of uncertain systems with mismatched uncertainty in the state matrix. First, we derive a new existence condition of linear sliding surface in terms of strict linear matrix inequalities (LMIs) and propose an adaptive reaching control law such that the motion of the closed-loop system satisfies the reaching condition. Second, we further consider the delay-type switching function, and a new robust stability condition is given in terms of LMIs for the reduced-order sliding mode dynamics. Then, a synthesis procedure is established to design the sliding surface parameters. Finally, three examples, including an aircraft model, are utilized to illustrate the design procedures proposed in this paper.

Published in:

Industrial Electronics, IEEE Transactions on  (Volume:57 ,  Issue: 6 )