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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*
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
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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.

Type
Research Article
Copyright
Copyright ©2013 Australian Mathematical Society

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