SYNTHESIS OF OPTIMAL ADAPTIVE CONTROL SYSTEMS FOR A CLASS OF MIMO LINEAR WITH VARIABLE PARAMETERS SYSTEMS UNDER EXOGENOUS DISTURBANCE

Abstract

This paper introduces a control system synthesis method for linear MIMO systems with variable parameters and the impact of unmeasured external disturbances, which is very common in industrial fields. For practical applications, optimal control methods are often used for the system to achieve the desired quality parameters. However, this method is limited because it only guarantees the system's robustness when there are uncertain dynamic components and many external effects. Therefore, with the above class of systems, the article synthesizes control rules based on the combination of optimal control and adaptive control to compensate for uncertain components. The results are adaptive control law compensating for the influence of variable parameter components, external disturbances, and optimal controller for dynamic components with fixed parameters. The article's proposed control system is simple, easy to implement, has high control quality, and ensures optimal ability, adaptability, and good interference resistance. Simulation results on Matlab Simulink software show the correctness and effectiveness of the research results.