Design of minimax controllers for nonlinear systems using cost-to-come methods

This thesis develops and utilizes the cost-to-come methodology for the construction of minimax controllers for nonlinear systems with partial-state information (PSI), which are subjected to deterministic uncertainty. It introduces the notion of a cost-to-come function and shows how it leads to necessary and sufficient conditions for the existence of a minimax controller. These conditions are the existence of the cost-to-come function and the existence of a solution to an auxiliary full-information (FI) minimax problem. It is also proven that a solution of the FI problem leads directly to a solution of the original PSI problem. The significance of this result is that the auxiliary FI problem can be solved using better-known dynamic programming (DP) techniques.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Engineering, Electronics and Electrical

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Didinsky, Garry

Contributors dc:contributor

• Basar, Tamer

• Engineering, Electronics and Electrical

Statement dc:rights

• Copyright 1995 Didinsky, Garry

Language dc:language

eng

Identifier

AAI9522104
(UMI)AAI9522104

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/23641