Robust stability analysis of uncertain linear systems with input saturation using piecewise Lyapunov functions

불연속 리아푸노프 함수를 이용한 입력제한이 있는 불확실 선형 시스템의 안정성 해석

In this paper, we consider the problem of finding the stability region in state space for uncertain linear systems with input saturation. For stability analysis, two Lyapunov functions are chosen. One is for the lineal region and the other is for the saturated legion. Piecewise Lyapunov functions are obtained by solving successive linear matrix inequalites(LMIs) relaxations. A sufficient condition for robust stability is derived in the form of stability region of initial conditions. A numerical example shows the effectiveness of the proposed method.