BIBO stabilisation of continuous-time Takagi–Sugeno systems under persistent perturbations and input saturation

• Autorzy: Salcedo J. V. , Martínez M. , García-Nieto S. , Hilario A.

Identyfikatory

DOI

10.2478/amcs-2018-0035

• Języki publikacji: EN

Abstrakty

EN

This paper presents a novel approach to the design of fuzzy state feedback controllers for continuous-time non-linear systems with input saturation under persistent perturbations. It is assumed that all the states of the Takagi–Sugeno (TS) fuzzy model representing a non-linear system are measurable. Such controllers achieve bounded input bounded output (BIBO) stabilisation in closed loop based on the computation of inescapable ellipsoids. These ellipsoids are computed with linear matrix inequalities (LMIs) that guarantee stabilisation with input saturation and persistent perturbations. In particular, two kinds of inescapable ellipsoids are computed when solving a multiobjective optimization problem: the maximum volume inescapable ellipsoids contained inside the validity domain of the TS fuzzy model and the smallest inescapable ellipsoids which guarantee a minimum ^*-norm (upper bound of the 1-norm) of the perturbed system. For every initial point contained in the maximum volume ellipsoid, the closed loop will enter the minimum ^*-norm ellipsoid after a finite time, and it will remain inside afterwards. Consequently, the designed controllers have a large domain of validity and ensure a small value for the 1-norm of closed loop.

Słowa kluczowe

EN

linear matrix inequalities; fuzzy system; nonlinear system; input saturation; disturbance

PL

liniowe nierówności macierzowe; układ rozmyty; układ liniowy; nasycenie wejściowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2018
• Tom: Vol. 28, no. 3
• Strony: 457--472
• Opis fizyczny: Bibliogr. 45 poz., rys., wykr.

Twórcy

autor

Salcedo J. V.

• Institute of Control Systems and Industrial Computing (ai2), Polytechnic University of Valencia, Camino de Vera S/N, 46022 Valencia, Spain

autor

Martínez M.

• Institute of Control Systems and Industrial Computing (ai2), Polytechnic University of Valencia, Camino de Vera S/N, 46022 Valencia, Spain

autor

García-Nieto S.

• Institute of Control Systems and Industrial Computing (ai2), Polytechnic University of Valencia, Camino de Vera S/N, 46022 Valencia, Spain

autor

Hilario A.

• Institute of Control Systems and Industrial Computing (ai2), Polytechnic University of Valencia, Camino de Vera S/N, 46022 Valencia, Spain

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).