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Observer-based sliding mode control for a class of discrete systems via delta operator approach |
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| Authors: | Hongjiu Yang Peng Shi |
| Institution: | a Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China b Department of Computing and Mathematical Sciences, University of Glamorgan, UK c School of Engineering and Science, Victoria University, Melbourne, VIC8001, Australia |
| Abstract: | In this paper, an observer-based sliding mode control (SMC) problem is investigated for a class of uncertain delta operator systems with nonlinear exogenous disturbance. A novel robust stability condition is obtained for a sliding mode dynamics by using Lyapunov theory in delta domain. Based on a designed sliding mode observer, a sliding mode controller is synthesized by employing SMC theory combined with reaching law technique. The robust asymptotical stability problem is also discussed for the closed-loop system composed of the observer dynamics and the state estimation error dynamics. Furthermore, the reachability of sliding surfaces is also investigated in state-estimate space and estimation error space, respectively. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the developed method. |
| Keywords: | Sliding mode observer Sliding mode controller Delta operator system Robust stability Linear matrix inequality (LMI) |
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