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OPTIMAL CONTROL OF SWITCHED IMPULSIVE SYSTEMS WITH TIME DELAY

Published online by Cambridge University Press:  07 February 2013

K. H. WONG  and
W. M. TANG
K. H. WONG*
Affiliation:
College of Computer and Information Science, Chongqing Normal University, Chongqing 400047, China
W. M. TANG*
Affiliation:
College of Computer and Information Science, Chongqing Normal University, Chongqing 400047, China
*
✉karwong01@gmail.com
✉cqtwm@163.com
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Abstract

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We develop a computational method for solving an optimal control problem governed by a switched impulsive dynamical system with time delay. At each time instant, only one subsystem is active. We propose a computational method for solving this optimal control problem where the time spent by the state in each subsystem is treated as a new parameter. These parameters and the jump strengths of the impulses are decision parameters to be optimized. The gradient formula of the cost function is derived in terms of solving a number of delay differential equations forward in time. Based on this, the optimal control problem can be solved as an optimization problem.

Keywords

switched and impulsive systemstime delaysubsystemsmagnitudes of impulsesduration timesmathematical programming problem
Type
Research Article
Information
The ANZIAM Journal , Volume 53 , Issue 4 , April 2012 , pp. 292 - 307
Copyright
Copyright ©2013 Australian Mathematical Society

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