A Nash Game Approach to Mixed H2/H∞ Control for Input-Affine Nonlinear Systems
File(s)H2Hinfty4.pdf (330.59 KB)
Accepted version
Author(s)
Mylvaganam, T
Astolfi, A
Type
Conference Paper
Abstract
With the aim of designing controllers to simultaneously ensure robustness and optimality properties, the mixed H2/H∞ control problem is considered. A class of input-affine nonlinear systems is considered and the problem is formulated as a nonzero-sum differential game, similar to what has been done in the 1990s by Limebeer et al. for linear systems. A heuristic algorithm for obtaining solutions for the coupled algebraic Riccati equations which are characteristic of the linear quadratic problem is provided together with a systematic method for constructing approximate solutions for the general, nonlinear problem. A few numerical examples are provided.
Date Issued
2016-12-22
Date Acceptance
2016-04-18
ISSN
1474-6670
Publisher
Elsevier
Start Page
1024
End Page
1029
Journal / Book Title
IFAC papers online
Volume
49
Issue
18
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/L014343/1
Source
Nonlinear Control System Symposium (NOLCOS)
Subjects
Differentialgames
robustcontrol
optimalcontrol
nonlinearcontrol
gametheory
FEEDBACK
Publication Status
Published
Start Date
2016-08-23
Finish Date
2016-08-25
Coverage Spatial
Monterey, CA, USA