A New Set Invariance Condition for Linear Continuous-Time Systems with Saturation Nonlinearities
【摘要】：正 This paper deals with the problem of enlarging the domain of attraction for linear continuous-time systems subject to actuator saturation. By introducing a sufficiently small positive scalar, a less conservative condition is given which indicates that the previous work is a special case of our main result. An LMI optimization procedure is proposed to obtain the least conservative estimation of the domain of attraction. Finally, a numerical example is carried out to illustrate the effectiveness of the developed method.