一类具有延时的耦合分布参数系统的采样控制OA

This study addresses the control problem of a class of coupled distributed parameter sys-tems,nonconstant-coefficient coupled reaction-diffusion systems.Such systems are subject to uncer-tain parameters,under a sampled-data control strategy.It serves as an extension of the sampled-data control problem for a single constant coefficient reaction-diffusion system.To begin with,a sampled-data controller to stabilize the system with time-varying delay was designed and sufficient conditions to ensure exponential stability of the system were established.Furthermore,considering the destabili-zing influence of disturbances from various sources on the system,the robust stability and H∞ proper-ty of the uncertain system was inverstigated.Under the sampled-data controller,criteria for achieving robust stability and H∞ performance respectively was derived.Finally,the effectiveness of our pro-posed method through numerical simulations were validated.