Disturbance Rejection For Linear Systems With Control Delay Via Output Feedback

In the nature, control systems sometimes have the influence by all kinds of exosystem exogenous disturbance. The exogenous disturbance of the system can mainly divided into unknown random disturbance and known dynamic idiocratic disturbance. To the researches for the system of unknown disturbance are mainly about robust disturbances attenuation control as H_∞control. The systems with known dynamic disturbance have broad practice background, such as the real time control system of the ocean roof which disturbance comes from wave power;the sinusoidal disturbance power of the whirlybird wing reducing vibrancy control system; the disturbance produced by vibrancy of magnetic tape drive reducing vibrant control are all the known dynamic idiocratic disturbances. Therefore, The recearch of dynamic output feedback disturbance rejection control law is an important topic.This paper research the optimal disturbance rejection via dynamic output feedback for linear systems which have the quadratic performance index. First summarize the characteristic of the time-delay systems and mainly correlation domanial research results. Then expatiate the develoment status and the important application field of the optimal control theory. Based on this introduce reduced-order observer to optimal disturbance rejection via dynamic output feedback for time-delay systems, discuss the solutions and the implement of the optimal output feedback control law.Firstly, this paper considers the problem of optimal disturbance rejection for linear systems. The optimal disturbance rejection control law in a feedback and feedforward form is first proposed by using the solutions of a Riccati equation and a Sylvester equation. Then a reduced-order observer which can estimate state variables and disturbances is constructed to make the feedback and feedforward control physically realizable. Combining the reduced-order observer and the optimal feedback and feedforward controller, the design algorithm of a dynamic output feedback disturbance rejection control law is presented. Finally, simulations are given to demonstrate the effectiveness of the control algorithms.On the base,this method researches the disturbance with known dynamic characteristic but unknown elementary condition, designs a reduced-order observer which can beforehand estimates the state and disturbance contemporarily. Using this method to implement the optimal disturbance rejection for linearsystems with control delay. By research anslysing, the idea can be rerealized. Firstly, based on the Artstein model transformation, the system with control delay is transformed to a nondelayed system. Secondly, make a dieturbance compensator by using internal model theory, so the system with disturbance is transformed to an argumented system without disturbance. Then the feedforward and feedback optimal disturbance rejection control law is derived from a Riccati equation and a Sylvester equation. A reduced-order observer estimating state and disturbance variables is constructed to make feedforward control and state feedback physically realizable. And the dynamic output feedback disturbance rejection control law approximating the optimal one is obtained. Simulations demonstrate the effectiveness of the control law. The latter end briefly sum up the mostly task about the paper, make a view of the more research work.