Iterative Learning Output Feedback Control for Delayed Parabolic PDE Systems With Random Packet Losses

In this paper, an iterative learning output feedback control method is proposed for parabolic partial differential differential equation (PDE) systems with time-varying delay and random packet losses. The presented control strategy contains feedback control, which is used to improve the convergence speed of the iterative learning delayed parabolic PDE systems. Considering the limited channel bandwidth, random packet losses may occur in delayed PDE system, and obey Bernoulli random binary distribution. Firstly, an iterative learning control under spatial local averaged measurements is given for PDE systems with time-varying delay and random packet losses by using Lyapunov-Krasovskii functional. Subsequently, some sufficient conditions are derived to ensure the convergence for delayed parabolic PDE iterative learning control systems with packet losses. Finally, the effectiveness and superiority of the proposed iterative learning control method are presented by numerical simulation results.