Minimum-energy control for time-varying systems with multiple state and input delays

Hai-Lin Liu, Gong-You Tang and Xue Yang

International Journal of Systems Science, 2016, vol. 47, issue 12, 3036-3043

Abstract: This paper considers the minimum-energy control problem for a class of time-varying systems with multiple state and input delays. First, a state transform matrix is presented. By using the transform matrix, a system with multiple state and input delays is converted to a formal equivalent one without delay. Then, the optimal problem of the novel system is solved by using the maximum principle. Analytical expressions of the optimal control law and optimal performance are given by two formulas with respect to the state transform matrix. At last, an algorithm is given to solve the analytical expression of the state transform matrix. Simulation results show that the design algorithm is efficient and easy to implement.

Date: 2016
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DOI: 10.1080/00207721.2015.1068883

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