Nonlinear internal model control: application of inverse model based fuzzy control

Nonlinear actuator fault estimation observer: An inverse system approach via a T-S fuzzy model

“…The fuzzy inverse model or the T-S inverse model is used to control nonlinear systems (e.g., Babuska, 1998;Boukezzoula et al, 2003;2007), mainly for input and output data identification. Essentially, fuzzy inverse control is a data-driven control method primarily for SingleInput Single-Output (SISO) system.…”

“…Many important results on the analysis and synthesis for a T-S fuzzy system have been reported (cf. Zhou et al, 2007;Nguang and Shi, 2003;Lendek et al, 2010a;Gao et al, 2009;Takagi and Sugeno, 1985;Boukezzoula et al, 2003). Because of the advantage of T-S fuzzy systems in approximating complex nonlinear systems, the fault diagnosis observer based on a T-S fuzzy system was investigated using adaptive observers Gao et al, 2010;Lendek et al, 2010a;Lendek et al, 2010b;Zhang and Jiang, 2010) or unknown input observers (Lendek et al, 2010a;Lendek et al, 2010b;Chen and Saif, 2010).…”

Fuzzy Feedback Linearizing Controller and Its Equivalence With the Fuzzy Nonlinear Internal Model Control Structure

“…In this paper, the inverse control methodology proposed in (Boukezzoula et al, 2003;Galichet et al, 2004) for handling nonaffine-in-control nonlinear systems is used. In this framework, the proposed controller design is based on the on-line analytic inversion of the fuzzy plant model.…”

“…Inverting systems is an important issue in engineering applications, especially in linear and nonlinear control problems (Baoming et al, 2002;Boukezzoula et al, 2001;Boukezzoula et al, 2003;Boukezzoula et al, 2006;Cabrera and Narendra, 1999;Devanathan et al, 2000;Li and Deng, 2006;Rivals and Personnaz, 2000). The underlying principle of inverse control is based on the following remark: Since a plant model can be viewed as a mapping from control inputs to future outputs according to the process history, one can use the inverse mapping from the desired outputs to the inputs as a design control procedure.…”

“…Actually, even when not clearly specified, an inversion mechanism is often included in nonlinear control structures. Feedback linearizing control (Devanathan et al, 2000;Kang et al, 1998;Kwanghee, 1999;Ying, 1999) as well as internal model control (Babuska, 1998;Baoming et al, 2002;Boukezzoula et al, 2001;Boukezzoula et al, 2003;Fang and Rad, 2000;Li and Deng, 2006;Lightbody and Irwin, 1997) are typical application examples of such as an inversion based control methodology.…”