TITLE:
Optimal Control for Time-Delay Bilinear Systems with Sinusoidal Disturbances
AUTHORS:
Dexin Gao, Min Wang, Leilei Li
KEYWORDS:
Time-Delay Bilinear System; Feedback Linearization; Sinusoidal Disturbances; Optimal Control
JOURNAL NAME:
Intelligent Control and Automation,
Vol.4 No.1,
February
6,
2013
ABSTRACT: This paper considers the optimal control problem for time-delay bilinear systems affected by sinusoidal disturbances with known frequency and measurable amplitude and phase. Firstly, using the differential homeomorphism, a time-delay bilinear system affected by sinusoidal disturbances is changed to a time-delay pseudo linear system through the coordinate transformation. Then the system with time-delay in control variable is transformed to a linear controllable system without delay using model transformation. At last based on the theory of linear quadratic optimal control, an optimal control law which is used to eliminate the influence of the disturbances is derived from a Riccati equation and Matrix equations. The simulation results show the effectiveness of the method.