Optimal control of switched impulsive systems with time delay

Wan Mei Tang, Kar Hung Wong

Abstract


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.

doi:10.1017/S1446181112000284

Keywords


switched and impulsive systems; time delay; subsystems; magnitudes of impulses; duration times; mathematical programming problem



DOI: http://dx.doi.org/10.21914/anziamj.v53i0.5148



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.