Abstract
In this article, the stability and stabilization problems of saturated
impulsive nonlinear control systems are investigated. With the use of a
class of clock-dependent Lyapunov functions and polytopic representation
approach, new sufficient conditions ensuring the local exponential
stability (LES) are established in the framework of dwell time, which
allow that both the continuous and discrete parts of the systems are
destabilizing at the same time. Moreover, based on the sum of squares
programming, an optimization algorithm is proposed to design the
saturated impulsive controller with improvement of the allowable
impulsive dwell-time and the size of the domain of attraction. Finally,
the simulation results demonstrate the effectiveness of the results.