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Optimization of Coordinate Transformation Matrix for H ∞ Static‐Output‐Feedback Control of Linear Discrete‐Time Systems
Author(s) -
Feng ZhiYong,
Xu Li,
She Jinhua,
Guo XueXun
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.897
Subject(s) - matrix (chemical analysis) , transformation matrix , transformation (genetics) , coordinate system , control theory (sociology) , mathematics , state transition matrix , iterative method , mathematical optimization , algorithm , computer science , control (management) , symmetric matrix , geometry , eigenvalues and eigenvectors , physics , biochemistry , chemistry , materials science , artificial intelligence , quantum mechanics , composite material , gene , kinematics , classical mechanics
This paper presents a new iterative algorithm as an upgrade to sufficient LMI conditions for the H ∞ static‐output‐feedback ( SOF ) control of discrete‐time systems. Based on an analysis of the structures of the coordinate transformation matrix and the L yapunov matrix, the open question of how to fix the L yapunov matrix structure raised by G. I. B ara and M. B outayeb is replaced with the question of how to choose the coordinate transformation matrix. Then, an iterative algorithm for selecting the optimum coordinate transformation matrix that produces a locally optimal solution is presented. Finally, numerical examples demonstrate the effectiveness and advantages of this method.