Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities

• Published in: Fuzzy sets and systems Vol. 164; no. 1; pp. 45 - 65
• Main Authors: Boulkroune, A., M’Saad, M., Farza, M.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier B.V 01.02.2011; Elsevier
• Subjects: Adaptive control; Adaptive control systems; Applied sciences; Automatic; Automatic Control Engineering; Circuit properties; Combinatorics; Combinatorics. Ordered structures; Computer Science; Computer science; control theory; systems; Convergence; Dead-zone; Delay; Designs and configurations; Digital circuits; Electric, optical and optoelectronic circuits; Electronic circuits; Electronics; Engineering Sciences; Exact sciences and technology; Fuzzy; Fuzzy logic; Fuzzy set theory; Fuzzy system; Information, signal and communications theory; Mathematical methods; Mathematics; MIMO nonlinear systems; Miscellaneous; Nonlinearity; Sciences and techniques of general use; Sector nonlinearity; Simulation; Telecommunications and information theory; Theoretical computing; Time-delay; Tracking errors; Variable-structure control; Sector nonlinearity; Fuzzy system; MIMO nonlinear systems; Time-delay; Adaptive control; Dead-zone; Variable-structure control; Exponential convergence; Error estimation; Decomposition method; Delay system; Fuzzy set; Non linear system; Engineering; Lyapunov functional; Information processing; Nonlinearity; Numerical stability

In this paper, an adaptive fuzzy variable-structure controller is investigated for a class of uncertain multi-input multi-output (MIMO) nonlinear time-delay systems with both sector nonlinearities and dead-zones. A decomposition property of the control-gain matrix is fully exploited in the controlle...