Some remarks on the stability of Mamdani fuzzy control systems

http://recyt.fecyt.es/index.php/RIAII/article/view/RIAI.2010.03.05/7177

“…El controlador lógico borroso utilizado es del tipo de acción directa; es decir, la acción de control es directamente calculada de las señales de error de posición y de velocidad (tipo PD con salida acotada) (Santibáñez et al, 2004), específi-camente, del tipo conocido como control borroso sectorial (Calcev, 1998), que presenta cualidades interesantes de pasividad, que serán mencionadas más adelante.…”

Novel Wavelet-Fuzzy Based Indirect Field Oriented Control of Induction Motor Drives

“…In general, the SFC satisfies the passivity conditions and can be proven to be stable for all times [18]. The proposed wavelet fuzzy based self-tuning controller, which consists of two fuzzy blocks, satisfies the properties of the SFC and hence is can be considered as a SFC.…”

Sliding Mode Control of Robot Manipulators via Intelligent Approaches

“…Proof: the stability analysis is based on the study performed in (Calcev 1998) and is fully discussed in (Santibanez et al, 2005), so it is omitted here. Note that for constant set-point we have 0 d q = , hence q q = − .…”

“…First, SMC design is accomplished and system stability in this case is provided by Lyapunov direct method. When the tracking error would be less than predefined value then a sectorial fuzzy controller (SFC), (Calcev, 1998), is responsible for control action. Designing of this kind of fuzzy controller is exactly the same as in which has performed in (Santibanez et al, 2005).…”