Lyapunov Redesign-based Sliding Mode Control for Systems with Mismatched Disturbances: An Application to Active Control of Hysteretic Structures

This paper proposes an integral sliding-modecontrol (ISMC) and Lyapunov redesign approach for a class ofnonlinear systems with matched and mismatched disturbances.By designing a sliding surface and a novel control input, we firstguarantee the stability of the system without considering thematched disturbance. Then, by using Lyapunov redesign westabilize the system. Simulation results of two examples showgood performance for the presented method. Specially, thesecond example uses the proposed method for active control of a1 degree of freedom (DOF) hysteretic structure. The results showthat the displacement and velocity of the structure converge tozero.

کلیدواژه ها:

Integral sliding mode control ، Lyapunov redesign ، mismatched disturbance ، hysteretic systems ،