Dynamic Output Feedback Control For Linear Systems With Input Saturation

Since the study of input saturation systems of stability and control has itstheoretical and practical significance, it has been paid more attention by manyscholars in recent years. The input saturation is inevitable in the practical controlsystems. The occurrence of input saturation would affect the controlled systemperformance and may even result in the instability of the controlled systems. To dealwith the input saturation effectively, the Lyapunov method is chose commonly. Butthe results obtained according to the traditional Lyapunov approach are veryconservative. Therefore, some new methods are introduced for research. Thecomposite quadratic Lyapunov function method is introduced to investigate the inputsaturation systems in this thesis. According to the composite quadratic Lyapunovfunction and its properties, some important results are obtained for the inputsaturation systems,(including the asymptotic stability, level set contractivelyinvariant, etc).In this thesis, we study the problems of dynamic output feedback control forlinear systems with input saturation, dynamic output feedback control fordeterministic systems and anti-windup dynamic output feedback control for uncertainsystems, respectively. Concerning the dynamic output feedback control fordeterministic systems, by using Lyapunov stability theory and the partitioned matrixoperation properties, the method of designing the feedback gain matrix is givenbased on the linear matrix inequality approach. Considering anti-windup dynamicoutput feedback control for uncertain systems, based on the composite quadraticLyapunov function method, some sufficient conditions are proposed such that theclosed-loop system is asymptotically stable, and then the optimization problem ispresented to enlarge the domain of attraction for the closed-loop system. Furthermore,the uncertainty in the criterion guaranteeing the stability is addressed. By using thematrix inequality technique and the congruent transform, the solvable convexoptimization problem is given, which can be used to design the anti-windup compensation gain matrix and enlarge the domain of attraction for the closed-loopsystem.