IJCAS

In this paper, an innovative sliding mode framework is used to propose an observer-based adaptive control scheme for uncertain switched systems with unknown time-varying delay. First, a state observer with no input information is built incorporating a new sliding manifold (SM) to rebuild the unmeasured state variables, which does not rely on accurate information of the time-delay. By picking a suitable Lyapunov function, using the average dwell time (ADT) approach and linear matrix inequality (LMI) tool, a novel stability criterion for the resultant sliding motion is devised. In addition, to meet the defined SM’s arrival condition, a new adaptive variable structure controller is constructed. Finally, two illustrative examples are given to demonstrate the efficacy of the control method.

Keywords: Average dwell time, sliding mode control, uncertain switched systems, unknown time-varying delay.