Title :
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
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;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2002.806497
