Design of Proportional Integral Controller for a Class of Discrete Control System

This paper investigates the design of proportional integral (PI) controller for a class of discrete control system. By constructing new Lyapunov functions and Schur complementary derivatives, the parameters of single closed-loop PI controller for discrete control system are derived using LMI technology, where the controller used PI controller. The effectiveness of this method is verified through a simulation example of the primary temperature control system. The introduction of single closed-loop PI controller in discrete control system for the first time to regulate the stability performance of the system has important industrial production significance in practical industry.