Control parameterization enhancing transform for optimal control of switched systems

In this paper, a class of optimal switching control problems with prespecified order of the sequence of subsystems is considered, where the switching instants are included in the cost functional. Both the switching instants and the control function are to be chosen such that the cost functional is m...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical and computer modelling 2006-06, Vol.43 (11), p.1393-1403
Main Authors: Li, R., Teo, K.L., Wong, K.H., Duan, G.R.
Format: Article
Language:English
Subjects:
Applied sciences
Calculus of variations and optimal control
Computer science
control theory
systems
Control parameterization
Control parameterization enhancing transform
Control theory. Systems
Exact sciences and technology
Mathematical analysis
Mathematics
Optimal control
Optimal control computation
Sciences and techniques of general use
Switched systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, a class of optimal switching control problems with prespecified order of the sequence of subsystems is considered, where the switching instants are included in the cost functional. Both the switching instants and the control function are to be chosen such that the cost functional is minimized. Through the discretization of the control space, each control component is approximated by a piecewise constant function. The partition points and the heights of each of these piecewise constant functions are taken as decision varibles. Using the control parameterization enhancing transform, we map both types of switching instants into preassigned knot points via the introduction of an additional control, known as the enhancing control. In this way, we construct a sequence of approximate optimal parameter selection problems with fixed switching time points. We then show that these approximate optimal parameter selection problems are solvable as mathematical programming problems. The convergence analysis of this approximation is investigated. Two examples are solved using the proposed method so as to demonstrate the effectiveness of the method proposed.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2005.08.012