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Optimal control for linear time-varying systems with multiple time-delays

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3 Author(s)
Hai-Lin Liu ; College of Information Science and Engineering, Ocean University of China, 238 Songling Road, Qingdao 266100, P. R. China ; Gong-You Tang ; Shi-Yuan Han

This paper considers the optimal control problem of a class of linear time-varying systems with multiple time-delays. A novel design approach to the optimal control law is proposed. By constructing a new state vector, the original system model and the performance index are simplified to equivalent ones without time-delay. So the infinite dimension problem of optimal control for systems with time-delays is avoided. The optimal control law is found by solving a matrix differential equation instead of a two-point boundary value problem, Simulation results demonstrate the effectiveness of the optimal control approach.

Published in:

Modelling, Identification and Control (ICMIC), Proceedings of 2011 International Conference on

Date of Conference:

26-29 June 2011