Robust integral sliding mode-${H_infty }$H∞

摘要

This study is concerned with the problem of H_∞-integral sliding mode control (SMC) for one-sided Lipschitz (OSL) non-linear systems. Unmatched norm-bounded uncertainties and disturbances are considered. The design procedure gathers the high robustness qualities of the SMC and the H_∞measure performance. Initially, the solvability condition for the integral sliding surface is established and new sufficient linear matrix inequality (LMI) condition is derived such that the sliding mode dynamics is robust exponentially stable and has a L₂disturbance attenuation performance. Then, an appropriate SMC law is synthesised to force the states of the system towards the sliding surface in finite time and to maintain a sliding motion on it thereafter. At last, two simulation examples are provided to prove the feasibility of the proposed method.