ROBUST H∞ SLIDING MODE CONTROL FOR A CLASS OF SINGULAR STOCHASTIC NONLINEAR SYSTEMS

This paper concerns the problem of robust H-infinity sliding mode control for a class of singular stochastic nonlinear systems. Integral slidingmode control is developed to deal with this problem. Based on the integral sliding surface of the design and linear matrix inequality, a sufficient condition which guarantees the sliding mode dynamics is asymptotically mean square admissible and has a prescribed H-infinity performance for a class of singular stochastic nonlinear systems is proposed. Furthermore, a sliding mode control law is synthesized such that the singular stochastic nonlinear system can be driven to the sliding surface in finite time. Finally, a numerical example is proposed to illustrate the effectiveness of the given theoretical results.