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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Acknowledgments
This work was supported in part by the National Natural Science Foundation of China (60804005), and by the Natural Science Foundation of Shandong Province Grant ZR2011FQ006), by the Natural Science Foundation of Qingdao City (12-1-4-3-(17)-jch).
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Gao, D. (2013). Feedback Linearization Optimal Control for Bilinear Systems with Time-Delay in Control Input. In: Sun, Z., Deng, Z. (eds) Proceedings of 2013 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38460-8_3
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DOI: https://doi.org/10.1007/978-3-642-38460-8_3
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