Optimal Control for Time-Delay Bilinear Systems with Sinusoidal Disturbances

Dexin Gao, Min Wang, Leilei Li

College of Automation and Electronic engineer, Qingdao University of Science & Technology, Qingdao, China.

DOI: 10.4236/ica.2013.41005                

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.

Keywords

Time-Delay Bilinear System; Feedback Linearization; Sinusoidal Disturbances; Optimal Control

Conflicts of Interest

The authors declare no conflicts of interest.

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