Paper Info
Title
Optimal control of piece-wise polynomial hybrid systems using cylindrical algebraic decomposition
Abstract
We present a new method to solve the constrained finite-time optimal control (CFTOC) problem for piece-wise polynomial (PWP) hybrid systems, based on Cylindrical Algebraic Decomposition (CAD). The computational approach consists of two parts. The off-line, where the method re-formulates the original CFTOC optimization problem in algebraic form, decomposes it into smaller subproblems and then independently pre-processes each subproblem to obtain certain structural information, and the on-line, where this available precomputed information is used to efficiently compute the optimal solution of the original problem in real time. The method is illustrated through its application to the control of a boost dc-dc converter.
Year
DOI
Venue
2006
10.1007/11730637_19
HSCC
Keywords
Field
DocType
certain structural information,finite-time optimal control,original cftoc optimization problem,algebraic form,optimal solution,boost dc-dc converter,cylindrical algebraic decomposition,original problem,new method,piece-wise polynomial hybrid system,available precomputed information,real time,optimal control,hybrid system,optimization problem
Optimal control,Algebraic number,Polynomial,Algorithm,Cylindrical algebraic decomposition,Hybrid system,Optimization problem,Piecewise,Mathematics,Constrained optimization
Conference
Volume
ISSN
ISBN
3927
0302-9743
3-540-33170-0
Citations 
PageRank 
References 
5
0.49
9
Authors
4
Name
Order
Citations
PageRank
Ioannis A. Fotiou1121.80
Andrea Giovanni Beccuti215717.84
Georgios Papafotiou3899.72
Manfred Morari46006918.33