Observer-based sliding mode control for a class of uncertain nonlinear neutral delay systems |
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| Authors: | Ligang Wu Changhong Wang |
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| Institution: | a College of Automation Science and Engineering, South China University of Technology, Guangzhou, Guangdong 510641, PR China
b Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, Heilongjiang 150001, PR China |
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| Abstract: | In this paper, the observer-based sliding mode control (SMC) problem is investigated for a class of uncertain nonlinear neutral delay systems. A new robust stability condition is proposed first for the sliding mode dynamics, then a sliding mode observer is designed, based on which an observer-based controller is synthesized by using the SMC theory combined with the reaching law technique. Then, a sufficient condition of the asymptotic stability is proposed in terms of linear matrix inequality (LMI) for the overall closed-loop system composed of the observer dynamics and the state estimation error dynamics. Furthermore, the reachability problem is also discussed. It is shown that the proposed SMC scheme guarantees the reachability of the sliding surfaces defined in both the state estimate space and the state estimation error space, respectively. Finally, a numerical example is given to illustrate the feasibility of the proposed design scheme. |
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| Keywords: | Sliding mode observer Sliding mode controller (SMC) Nonlinear Neutral delay systems Linear matrix inequality (LMI) |
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