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A TIME-FUEL OPTIMAL CONTROL PROBLEM OF A CRUISE MISSILE BASED ON AN IMPROVED SLIDING MODE VARIABLE STRUCTURE MODEL

Part of: Control systems Miscellaneous topics in calculus of variations and optimal control

Published online by Cambridge University Press:  02 June 2010

R. LI  and
Y. J. SHI
R. LI*
Affiliation:
School of Automation, University of Electronic Science and Technology of China, Chengdu 611731, PR China (email: [email protected])
Y. J. SHI
Affiliation:
Institute of Astronautics & Aeronautics, University of Electronic Science and Technology of China, Chengdu 611731, PR China (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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The inadequacy of the traditional sliding mode variable structure (SMVS) control method for cruise missiles is addressed. An improved SMVS control method is developed, in which the reaching mode segment of the SMVS control is decomposed into an acceleration accessing segment, a speed keeping segment, and a deceleration buffer segment. A time-fuel optimal control problem is formulated as an optimal control problem involving a switched system with unknown switching times and subject to a continuous state inequality constraint. The new design method is developed based on a control parametrization, a time scaling transform and the constraint transcription method. A sequence of approximate optimal parameter selection problems is obtained with fixed switching time points and a canonical state inequality constraint. Each approximate optimal parameter selection problem can be solved effectively by using existing gradient-based optimization techniques. The convergence of these approximate optimal solutions to the true optimal solution is assured. Simulation results show that the proposed method is highly effective. The response speed of the missile under the control law obtained by the proposed method is improved significantly, while the elevator of the missile is constrained to operate within its permitted range.

Keywords

cruise missileoptimal control theorycontrol parametrizationtime scaling transformsliding mode variable structure control

MSC classification

Secondary: 49N90: Applications of optimal control and differential games 93C95: Applications
Type
Research Article
Information
The ANZIAM Journal , Volume 51 , Issue 2 , October 2009 , pp. 261 - 276
Copyright
Copyright © Australian Mathematical Society 2010

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