Event-Triggered Stabilization Of Nonlinear Systems With Exponential Convergence

With the rapid development of automatic control community,nonlinear control theory has received extensive attention during the last few decades, and a lot of important conclusions have been obtained. Most of these studies are based time-based of nonlinear systems control. The development of computer technology and the limitation of network bandwidth have led to a growth attention on the waste of reserves such as CPU in the process of communication. Right now, it is becoming an important topic of control theory that how to guarantee the stability of systems in the case of reducing the bandwidth of network data transmission. Event-based control strategies, in which the control signals updated /triggered to be modulated only when the system states leave the desired area, otherwise system dynamics remain unchanged. However, the highly undesirable phenomenon is the trigger instants may be too closed to each other, which is called Zeno behavior. Inspired by the study of eventbased strategies and the nonlinear systems, we employ event-based control strategies, to the stability study of nonlinear systems. In this paper, the main research results summarized as follows:Chapter Three: event-based control strategy has been applied to the general nonlinear systems and analyze the stability of the closed-loop systems. First of all, the control law has been designed by Backstepping control scheme. Under some suitable assumptions and event-triggered conditions, it is proved that the system states are globally generalized exponentially stable the closed-loops system has no Zeno behavior through Lyapunov theory and Young inequality. Then, we employ our event-trigger stabilization scheme to address the stabilization problem of strict-feedback systems and output-feedback systems.Finally, we give several simulation examples including mathematical examples and practical examples to illustrate the effectiveness of the proposed event-triggered control scheme.It is generally known that accurate models couldn’t be measured in reality. In the fourth part of this paper, event-based control strategy has been applied to the nonlinear systems with disturbances. Similar to the previous chapter, we propose a robust event-triggered control scheme and also prove that the system state is also globally generalized exponentially convergent to a neighborhood of the origin and the Zeno behavior is excluded as well. Then the stabilization scheme has been applied to the simulation of strict-feedback systems and output-feedback systems and further verify our conclusions.