Intelligent Control and Automation

Volume 4, Issue 1 (February 2013)

ISSN Print: 2153-0653   ISSN Online: 2153-0661

Google-based Impact Factor: 2.22  Citations  

Optimal Control for Time-Delay Bilinear Systems with Sinusoidal Disturbances

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DOI: 10.4236/ica.2013.41005    4,997 Downloads   7,066 Views  Citations

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.

Share and Cite:

Gao, D. , Wang, M. and Li, L. (2013) Optimal Control for Time-Delay Bilinear Systems with Sinusoidal Disturbances. Intelligent Control and Automation, 4, 32-35. doi: 10.4236/ica.2013.41005.

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