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

Huai Nian Zhu; Cheng Ke Zhang; Pei Hong Sun; Ning Bin

doi:10.4028/www.scientific.net/AMR.204-210.1839

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 204-210A Stackelberg Game Approach to Mixed H2/H∞ Robust...

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

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.

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Advanced Materials Research (Volumes 204-210)

Pages:

1839-1847

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.204-210.1839

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Online since:

February 2011

Authors:

Huai Nian Zhu, Cheng Ke Zhang, Pei Hong Sun, Ning Bin

Keywords:

Differential Game, H₂/ H_∞ Robust Control, Riccati Equation, Singular Bilinear System

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