Stable indirect fuzzy adaptive control

Direct and Indirect Adaptive Fuzzy Control for a Class of MIMO Nonlinear Systems

“…The problem of adaptive fuzzy control of uncertain multi-input multi-output (MIMO) nonlinear systems is more difficult because of the coupling that exists between the control inputs and the outputs. This problem was studied in (Boulkroune et al, 2008a;Boulkroune et al, 2008b;Chang, 2000;Chekireb et al, 2003;Chiu, 2005;Golea et al, 2003;Labiod et al, 2005;Li & Tong, 2003;Ordonez & Passino, 1999;Tlemcani et al, 2007 ;Tong et al, 2000;Zhang & YI, 2007). We note that the direct adaptive approach turns out to require more restrictive assumptions than the indirect case, but is perhaps of more interest because it does not present any possible controller singularity problem.…”

“…on these estimates (Boulkroune et al, 2008a;Boulkroune et al, 2008b;Chang, 2000;Chang, 2001;Chekireb et al, 2003;Chiu, 2005;Golea et al, 2003;Labiod et al, 2005;Ordonez & Passino, 1999;Spooner & Passino 1996;Su & Stepanenko, 1994;Wang, 1994). For uncertain single-input single-output (SISO) nonlinear systems, fuzzy adaptive control schemes were proposed in (Chang, 2001;Essounbouli & Hamzaoui, 2006;Labiod & Boucherit, 2003;Spooner & Passino, 1996;Su & Stepanenko, 1994;Wang, 1994).…”

Decentralized Intelligent Adaptive Controller for Large Scale System

“…Designing of the sliding mode fuzzy adaptive controller for a class of multivariable TS fuzzy systems are presents in [4]. In [5], [6], the non-affine nonlinear function are first approximated by the TS fuzzy systems, and then stable TS fuzzy controller and observer are designed for the obtained model. In these papers, modeling and controller has been designed simply, but the systems must be linearizable around some operating points.…”

Adaptive State Tracking Controller for Multi-Input Multi-Output Non-affine Nonlinear Systems

“…Designing of the sliding mode fuzzy adaptive controller for a class of multivariable TS fuzzy systems are presents in [20]. In [18,19], the non-affine nonlinear function are first approximated by the TS fuzzy systems, and then stable TS fuzzy controller and observer are designed for the obtained model. In these papers, modeling and controller has been designed simply, but the systems must be linearizable around some operating points.…”