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A nonlinear minimization approach to multiobjective and structured controls for discrete‐time systems
Author(s) -
Lee Kwan Ho,
Lee Joon Hwa,
Kwon Wook Hyun
Publication year - 2004
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.951
Subject(s) - minification , mathematical optimization , discrete time and continuous time , nonlinear system , nonlinear programming , semidefinite programming , mathematics , quadratic equation , linear matrix inequality , matrix (chemical analysis) , computer science , statistics , physics , geometry , materials science , quantum mechanics , composite material
In this paper, a nonlinear minimization approach is proposed for multiobjective and structured controls for discrete‐time systems. The problem of finding multiobjective and structured controls for discrete‐time systems is represented as a quadratic matrix inequality problem. It is shown that the problem is reduced to a nonlinear minimization problem that has a concave objective function and linear matrix inequality constraints. An algorithm for the nonlinear minimization problem is proposed, which is easily implemented with existing semidefinite programming algorithms. The validity of the proposed algorithm is illustrated by comparisons with existing methods. In addition, applications of this work are demonstrated via numerical examples. Copyright © 2004 John Wiley & Sons, Ltd.