Stability and reachability analysis for aperiodic sampled-data systems

Abstract

In this paper, the sampled-data intervals comparison under stability criteria and reachable set estimation of aperiodic sampled-data systems are studied by means of uniform fragmented loop-based Lyapunov functional method. Firstly, by dividing the corresponding sampled-data intervals into sub-intervals on average, using fragmentation of system state and symbolic fragmentation expression, uniform fragmented loop-based Lyapunov functional is constructed. Furthermore, for the proposed stability criterion, a criterion for obtaining a larger upper bound of sampled-data is given in combination with the free weight matrix. Secondly, the reachable set estimation problem for aperiodic sampled-data systems with unit-peak bounded disturbance is investigated. Finally, the effectiveness of the proposed method is demonstrated by using numerical simulation and the experiment of vehicle active suspension device, it is also fully demonstrated that the proposed method can obtain the larger upper bound on the sampled-data interval and the more accurate reachable set estimation results.