Research On Control Synthesis For Time-delay Systems With Actuator Saturations

In practical feedback control systems,the phenomena of time delays and saturations often occur,and ignoring their existence in control design will lead to poor closed-loop performance or even instability.In the past two decades,many scholars have done a lot of research on time-delay systems and saturated systems.For linear time-delay systems with actuator saturation constraints,the paper studies their dynamic anti-windup control synthesis problem.By using the distributed-delay-dependent local sector conditions,the Lyapunov-Krasovskii(L-K)stability theory and the Wirtinger-based inequality,the less conservative dynamic anti-windup control synthesis criteria is established.The obtained results are expressed by linear matrix inequalities(LMIs),which can be easily solved using existing standard softwares.The main research work of this paper includes:1.For continuous-time linear systems with actuator saturations,constant state delay and external disturbances,the paper studies the corresponding dynamic anti-windup design problem.By utilizing delay-dependent anti-windup compensator,delay-dependent sector condition,augmented L-K functional,Wirtinger-based integral inequality,and some linearized techniques,an anti-windup control synthesis criterion represented by LMIs is established,which can ensure that the states of closed-loop systems are bounded and,meanwhile,the closed-loop systems have H_?performance.Numerical simulations show that our results improve existing ones in the literature.2.For continuous linear systems with actuator saturations,time-varying delay and external disturbances,the paper studies the corresponding dynamic anti-windup design problem.First,a dynamic anti-windup compensator is designed by using the upper bound of time-varying delay.Then,by utilizing delay-dependent sector condition,augmented L-K functional,Wirtinger-based integral inequality,and generalized reciprocal convex combination inequality,an anti-windup control synthesis criterion represented by LMIs is established,which can ensure that the states of closed-loop systems are bounded and,meanwhile,the closed-loop systems have H_?performance.Finally,numerical simulations demonstrate the effectivity of the proposed results.2.The dynamic anti-windup compensation problem is studied for linear systems with actuator saturations,time-varying delay and external disturbances in the discrete-time framework.By using delay-dependent local sector condition,augmented L-K functional,Wirtinger-based finite-sum inequality,and some linearized techniques,a dynamic anti-windup control synthesis criterion expressed by LMIs is established,which can ensure that the states of closed-loop systems are bounded and,meanwhile,the closed-loop systems have H_?performance.Finally,numerical simulations demonstrate the effectivity of the proposed results.