On Intermittent Control For Time Delay Systems With Actuator Saturation

With the development of industry and technology, the range of applications fordelayed control systems is expanding rapidly. At the same time, actuator saturationinevitably exists in the various types of practical systems. This thesis studies theexponential stabilization problem for time delay systems subject to actuator saturationby means of intermittent control. Using Razumkhin stability theory andLyapunov-Krasovskii stability theory， delay-independent and delay-dependentexponential stability criteria are derived for the closed-loop systems which provide anefficient way for the reduction the cost of control systems.The background and significance of the thesis are outlined firstly. We alsointroduce the adopted control methods and the related concepts, lemma and theoremin this thesis. Secondly, the considered problem is described by establishing themathematical model of time delay system with actuator saturation. Delay-independentstability conditions are derived under intermittent control by utilizing the Razumikhinstability theory and Lyapunov-Krasovskii stability theory, respectively. Theeffectiveness of the obtained results is illustrated by numerical examples. In oder tofind the largest domain of attraction, a convex optimization algorithm is proposed interms of matrix inequalities. Note that the result for delay-independent criteria isalways conservative in judging the stability of delay systems, especially for systemswith small delays. To reduce the conservatism of the exponential stability criterionsderived above, we further give a delay-dependent exponential stability condition for aclass of control systems with nonlinear perturbation by combining the Razumihkinstability theory and Leibniz-Newton formula. Finally, we summarize the main contentof this thesis and look forward to the future research directions.