Fuzzy robust tracking control for uncertain nonlinear systems

Robust Fuzzy Control for Anaerobic Digestion System Subject to Unknown Inputs

“…5 shows the results for a typical vector of unknown inputs different from zero that corresponds to a realistic influent water characteristics, and it can be said that the controller asymptotically stabilize the closed-loop of T-S fuzzy system. [18]- [22] will be treated in more details in our future work.…”

Stabilization of Fuzzy Takagi - Sugeno Descriptor Models; Application to a Double Inverted Pendulum

“…Their capability to represent exactly in a compact set of the state variables a nonlinear model makes them attractive for control and observation . The stability and the stabilization of such models (including performances and/or robustness considerations) are mainly investigated through Lyapunov functions (Chen et al 2000, Joh et al 1997, Tanaka et al 1998, Tong et al 2002, Tuan et al 2001, Zhao 1995. These ones are most of the time quadratic ones, nevertheless interesting results can also be found using piecewise quadratic functions (Feng 2003, Johansson et al 1999 or non quadratic Lyapunov functions (Blanco et al 2001, Guerra & Vermeiren 2004.…”

Robust Stability Analysis of TS-Fuzzy-Model-Based Control Systems with Both Elemental Parametric Uncertainties and Norm-Bounded Approximation Error

“…Besides stability, another important requirement for a control system is its robustness and this remains to be a central issue in the study of uncertain nonlinear control systems and their controllers design. Therefore, some researchers (11) - (13), (16) - (19) proposed some sufficient conditions in terms of linear matrix inequalities (LMIs) to study the robust stability of the TS-fuzzy-model-based control systems with parametric uncertainties. The parametric uncertainties are principal factors responsible for the degraded stability and performance of an uncertain nonlinear control system.…”

“…This is due to the inaccurate measurement, unaccessibility to the system parameters or online variation of the parameters. So, Lam et al (11) , Lee et al (12), (13) , Tanaka et al (16) - (18) and Tong et al (19) considered the robust stability against consequent parametric uncertainties in the TS-fuzzy-model-based control systems. The parametric uncertainties can be viewed to take different forms like elemental and norm-bounded.…”

“…The parametric uncertainties considered in Refs. (11) - (13) and (16) - (19) can be categorized as norm-bounded uncertain cases. However, if the elemental information of the parametric uncertain matrices is considered, the results will be less conservative than the previous results that do not utilize the elemental information of the parametric uncertain matrices (4), (5) .…”