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In this paper, chattering in a time-delayed second order sliding mode control (2-SMC) system is analyzed using the Poincaré map method. Convergence of the system under arbitrary time-delay is proved. The switching patterns are explored. The existence and uniqueness of the periodic orbit are shown. Simulations are done to support the theoretical results.
In this paper, time-delay effect on continuous approximation of sliding mode control (SMC) systems is studied in depth. The switching band that bound the zigzagging behaviors due to control switching around the switching manifold is constructed. Robust control theory is employed to develop a sufficient condition for the asymptotical stability of the system. Simulation is conducted to verify the theoretical...
This paper discuss the variable structure control problems of singular bilinear systems with time-delay by using generalized Lyapunov method combined with LMI method. The sliding function is chosen by employing sliding mode compensator. Further more, the variable structure controller is designed, and the asymptotical stability of the closed-loop system is guaranteed. The effectiveness of our results...
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