Title

Robust H∞ Control Via A Stable Decentralized Nonlinear Output Feedback Controller

Keywords

global Lipschitz condition; integral quadratic constraint; nonlinear uncertain systems; stable decentralized control

Abstract

This paper presents a new method to construct a decentralized nonlinear robust H∞ controller for a class of large-scale nonlinear uncertain systems. The admissible uncertainties and nonlinearities in the system satisfy integral quadratic constraints and global Lipschitz conditions, respectively. The decentralized controller, which is required to be stable, is capable of exploiting known nonlinearities and interconnections between subsystems without treating them as uncertainties. Instead, additional uncertainties are introduced because of the discrepancies between nondecentralized and decentralized nonlinear output feedback controllers. The H∞ control objective is to achieve an absolutely stable closed-loop system with a specified disturbance attenuation level. A solution to this control problem involves stabilizing solutions to algebraic Riccati equations parametrized by scaling constants corresponding to the uncertainties and nonlinearities. This formulation is nonconvex; hence, an evolutionary optimization method is applied to solve the control problem considered. Copyright © 2012 John Wiley & Sons, Ltd. Copyright © 2012 John Wiley & Sons, Ltd.

Publication Date

1-25-2014

Publication Title

International Journal of Robust and Nonlinear Control

Volume

24

Issue

2

Number of Pages

191-213

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1002/rnc.2879

Socpus ID

84890791798 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84890791798

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