Title :
Nonquadratic
Stabilization Conditions for Observer-Based T–S Fuzzy Control Systems
Author_Institution :
Sch. of Electr. Eng., Univ. of Ulsan, Ulsan, South Korea
Abstract :
This paper investigates the nonquadratic output-feedback stabilization problem for nonlinear systems in Takagi-Sugeno´s (T-S) form. To achieve improved performance in the H∞ sense, this paper provides two kinds of relaxation techniques: one for the case where all premise variables are measurable and one for the case where the premise variables are immeasurable. In particular, the emphasis of the second technique is the use of estimated premise variables for nonquadratic Lyapunov functions.
Keywords :
H∞ control; Lyapunov methods; feedback; fuzzy control; fuzzy systems; nonlinear control systems; observers; stability; Takagi-Sugeno form; immeasurable premise variable; measurable premise variable; nonlinear systems; nonquadratic H∞ stabilization conditions; nonquadratic Lyapunov functions; nonquadratic output-feedback stabilization problem; observer-based T-S fuzzy control systems; premise variable estimation; relaxation techniques; Fuzzy control; Lyapunov methods; Nonlinear systems; Observers; Silicon; Symmetric matrices; Nonquadratic Lyapunov function; observer-based Takagi–Sugeno (T–S) fuzzy control; quadratic relaxation;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2013.2272646