Optimal control of switched impulsive systems with time delay

Authors

  • Wan Mei Tang College of Computer and Information Science, Chongqing Normal University, Chongqing 400047, PR China
  • Kar Hung Wong College of Computer and Information Science, Chongqing Normal University, Chongqing 400047, PR China

DOI:

https://doi.org/10.21914/anziamj.v53i0.5148

Keywords:

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

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

Published

2013-02-07

Issue

Vol. 53 (2011)

Section

Articles for Printed Issues