No-time-delay optimal disturbances rejection control of time-delay bilinear systems with disturbances

This paper considers the optimal disturbances rejection control problem for time-delay bilinear systems with disturbances based on state feedback linearization. According to the concept of relative order of the output about the input, firstly, we change the time-delay bilinear systems with disturbances to a time-delay pseudo linear systems through the coordinate transformation, a linear controllable system without delay is obtained by exact delay-free transformation using integral transformation with memory control. Then based on the theory of linear quadratic optimal control, by solving the Riccati equation and the Sylvester equation, a feedforword/feedback optimal disturbances rejection control law is designed which is used to eliminate the influence of the disturbances. At last, the simulation results show the effectiveness of the method.