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Near optimal control for singularly perturbed systems with small time-delay

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2 Author(s)
Baolin Zhang ; Dept. of Inf. & Math. Sci., China Jiliang Univ., Hangzhou ; MingQu Fan

The near optimal control design for singularly perturbed systems with small time-delay is proposed. Based on the slow-fast decomposition theory of singular perturbations, the system is first decomposed into a fast subsystem and a slow time-delay subsystem. Then, the perturbation approach is proposed to solve the slow-time scale time-delay optimal control problem. The near optimal control law obtained consists of exact term and approximate one. The former can be found by solving a Riccati equation, and the latter can be approximately obtained by an iterative formula of adjoint vector equations. A numerical example is presented to illustrate the effectiveness of the proposed design approach.

Published in:

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Date of Conference:

25-27 June 2008