Abstract
This paper considers the optimal control problem for bilinear system with time-delay in control input based on state feedback. Firstly, we change a bilinear system with time-delay in control action model to a time-delay pseudo linear system model by local linearization. Through the Artstein transformation, a linear controllable system without delay is obtained. Then based on the theory of linear quadratic optimal control, a optimal controller is designed by solving the Riccati equation. At last, the simulation results show the effectiveness of the method.
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