Periodic Event-triggered Control For Two Reaction-diffusion Systems

Event-triggered control has broad application due to its advantages in conserving communication resources,and event-triggered control of reaction-diffusion systems has also received widespread attention.Generally,reaction-diffusion systems can characterize physical phenomena,such as heat conduction,gas molecular motion in semiconductors,and fluid motion.When environmental noise affects the system,this phenomenon can be described by stochastic reaction-diffusion systems.For such systems with spatiotemporal variables,boundary control is an effective control method.This paper mainly studies the boundary control problem of two class of reaction-diffusion systems.Based on periodic sampling,this paper uses periodic event-triggered control strategy to naturally avoid the Zeno phenomenon,and to achieve asymptotic stabilization of the system.In addition,when external disturbance enters the system,H-infinity performance is an effective index to indicate the ability of resisting disturbances for the system.To investigate H-infinity control is a significant topic.In Chapter 2,periodic event-triggered control of deterministic reaction-diffusion systems is considered,including asymptotic stability and H-infinity performance.Full-domain and boundary controller are applied to deterministic reaction-diffusion systems via periodic event-triggered control strategy,respectively.By Lyapunov-Krasoviskii functional and Wirtinger inequality,criteria of asymptotic stability are established.When external additive noise enters the system,periodic event-triggered control strategy is used to design full-domain and boundary controller,respectively,and conditions are derived for H-infinity performance of deterministic reaction-diffusion systems.In Chapter 3,considering that the system is disturbed by stochastic noise in the environment,we use periodic event-triggered strategy to study mean square asymptotic stabilization and H-infinity control for stochastic reaction-diffusion systems.The appropriate Lyapunov-Krasoviskii functional is constructed,and full-domain and boundary controller are designed.Wirtinger inequality and It? formula are used to obtain sufficient criteria for mean square asymptotic stability.When the system is subject to external disturbance,periodic event-triggered H-infinity control of the stochastic reaction-diffusion systems is studied.At the end of each chapter,numerical experiments are given to illustrate the correctness of obtained theorem.Finally,the research content of this paper is summarized,and some suggestions for future work are put forward.