An iterative solution to dynamic output stabilization and comments on "Dynamic output feedback controller design for fuzzy systems"

Author

Lin, Min-Long ; Lo, Ji-Chang

Author_Institution

Dept. of Mech. Eng., Nat. Central Univ., Jung-Li, Taiwan

Volume

34

Issue

1

fYear

2004

Firstpage

679

Lastpage

681

Abstract

In this note, we will show that the output feedback controller gains K in the paper is only an approximated solution K^‡=QP^-1C˜₀^†, with the dagger denoting Moore- Penrose inverse of the matrix C˜₀. Consequently K≠K^‡ and therefore it may not satisfy the linear matrix inequality (LMI) constraints in the aforementioned paper. Instead, an iterative LMI approach is suggested to solve the dynamic output stabilization problem for the fuzzy systems.

Keywords

approximation theory; feedback; fuzzy systems; iterative methods; linear matrix inequalities; matrix inversion; stability; Moore-Penrose inverse; Takagi-Sugeno fuzzy model; dynamic output feedback controller design; dynamic output stabilization; fuzzy systems; iterative linear matrix inequality constraints; Control systems; Fuzzy control; Fuzzy systems; Iterative methods; Linear matrix inequalities; Lyapunov method; Output feedback; Riccati equations; Symmetric matrices; Uncertainty;

fLanguage

English

Journal_Title

Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on

Publisher

ieee

ISSN

1083-4419

Type

jour

DOI

10.1109/TSMCB.2002.806497

Filename

1262539