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Reliable nonlinear control system design using duplicated control elements
Author(s) -
Liu Yuqiong,
Wang Jianliang,
Yang GuangHong,
Soh C. B.
Publication year - 1997
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/(sici)1099-1239(199712)7:12<1103::aid-rnc343>3.0.co;2-r
Subject(s) - control theory (sociology) , nonlinear system , bounding overwatch , controller (irrigation) , linear system , nonlinear control , actuator , control engineering , computer science , design methods , control (management) , engineering , mathematics , artificial intelligence , mechanical engineering , mathematical analysis , physics , quantum mechanics , agronomy , biology
Reliable L 2 gain bounding (i.e., H ∞ ) controllers for nonlinear systems are designed by using redundant control elements. One sensor and one actuator are duplicated, and the resulting closed‐loop system is reliable with respect to both the single contingency case and the primary contingency case. The design procedures for reliable controllers are developed by using the Hamilton–Jacobi inequalities from nonlinear H ∞ control theory. Linear reliable controller design methods are also obtained by restricting the proposed nonlinear methods to the linear case, and the linear methods are found to be less conservative than existing methods for linear reliable controller design. Examples are given to illustrate the design procedures for both linear and nonlinear reliable controllers and the advantages of the proposed linear method over existing ones. © 1997 by John Wiley & Sons, Ltd.