A Nash Game Approach to Mixed H2/H∞ Control for Input-Affine Nonlinear Systems

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Title: A Nash Game Approach to Mixed H2/H∞ Control for Input-Affine Nonlinear Systems
Author(s): Mylvaganam, T
Astolfi, A
Item 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.
Publication Date: 22-Dec-2016
Date of Acceptance: 18-Apr-2016
URI: http://hdl.handle.net/10044/1/39016
DOI: https://dx.doi.org/10.1016/j.ifacol.2016.10.302
ISSN: 1474-6670
Publisher: Elsevier
Start Page: 1024
End Page: 1029
Journal / Book Title: IFAC papers online
Volume: 49
Issue: 18
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/L014343/1
Conference Name: Nonlinear Control System Symposium (NOLCOS)
Keywords: Differentialgames
Publication Status: Published
Start Date: 2016-08-23
Finish Date: 2016-08-25
Conference Place: Monterey, CA, USA
Appears in Collections:Faculty of Engineering
Electrical and Electronic Engineering

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