A Stackelberg Game Approach to Mixed H<sub>2</sub>/H<sub>∞</sub> Robust Control for Singular Bilinear Systems-Reference-Cited by-同舟云学术

A Stackelberg Game Approach to Mixed H₂/H_∞ Robust Control for Singular Bilinear Systems

Published:2011-02 Issue: Volume:204-210 Page:1839-1847
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Zhu Huai Nian¹,Zhang Cheng Ke²,Sun Pei Hong³,Bin Ning¹

Affiliation:

1. Guangdong University of Technology

2. Guangdong University of Technology

3. Inner Mongolia Finance and Economics College

Abstract

The H2/ H∞robust control problem is formulated as a Stackelberg differential game where the leader minimizes an H2criterion while the follower deals with the H∞ constraint. For a closed-loop information structure in the game, the necessary conditions for the existence of a solution are derived for the infinite horizon case. In the end, the simulation of a numerical example is presented.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.204-210.1839.pdf

Reference12 articles.

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4. Lu, G. P., Zheng, Y. F., & Zhang, C. S. Dynamical output feedback stabilization of MIMO bilinear systems with undamped natural response. Asian Journal of Control, 5(2) (2003), p.251–260.

5. Lewis, F. L., Mertzios, B. G., & Marszalek, W. Analysis of singular bilinear systems using Walsh functions. IEEE Proceedings-Control Theory and Applications. 138(2) (1991), p.89–92.

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