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Selection of coordinate transformation matrix for discrete‐time H 2 / H ∞ static‐output‐feedback control: A two‐step optimization method
Author(s) -
Feng ZhiYong,
She JinHua,
He Yong
Publication year - 2018
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2446
Subject(s) - mathematics , matrix (chemical analysis) , linear matrix inequality , selection (genetic algorithm) , transformation (genetics) , control theory (sociology) , mathematical optimization , output feedback , algorithm , computer science , control (management) , biochemistry , chemistry , materials science , artificial intelligence , composite material , gene
Summary This paper presents a method to solve the problem of single‐ or multiobjective H 2 / H ∞ static‐output‐feedback control for discrete‐time systems. The selection of a coordinate transformation matrix (CTM) is important when using linear matrix inequality–based approach to solve the static‐output‐feedback control problem. A two‐step optimization method for selecting the optimum CTM that produces a locally optimal solution is developed. The first step uses a direct search method to choose an initial CTM. The second step implements an iterative linear matrix inequality method to obtain the optimum CTM. Numerical examples demonstrate the good performance and high computational efficiency of the method.