Stabilization of Systems with Unsymmetrical Saturated Control: An LMI Approach

Benzaouia, Abdellah; Benhayoun, Mohamed; Mesquine, Fouad

doi:10.1007/s00034-014-9786-5

Cited by 32 publications

(12 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To take into account the constraints , we were inspired by the approach developed in Reference . The method allows to calculate an asymmetrically saturated state feedback control in the case of a linear system.…”

Section: A Pdc Controller Design With Respect To Asymmetrical Constramentioning

confidence: 99%

“…In our knowledge, there is a lack of works dealing with the problem of asymmetrical and positive constraints control when using the T‐S fuzzy formalism. In the linear systems case, the asymmetrical and positive constraints on inputs are considered in Reference , where the control is designed with actuator saturation constraints based on the positive invariance approach.…”

Section: Introductionmentioning

confidence: 99%

“…Our objective is to design a constrained controller taking into account the strong asymmetric and positive constraints on control for a fermentation process using the T‐S formalism. To handle with the constraints problem, we propose to extend the approach given in Reference for linear systems to the nonlinear systems. A T‐S model is used to represent the behavior of a nonlinear system and PDC for the constrained controller.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Takagi‐Sugeno tracking control of a fermentation process with respect to asymmetric constraints

Mohamed

Karama

Khallouq

2019

Adaptive Control & Signal

View full text Add to dashboard Cite

Summary This article deals with the tracking problem for nonlinear biological process with asymmetric constraints on the controller. Using the fuzzy logic Takagi‐Sugeno (TS), the nonlinear process is modeled by a fuzzy model and a parallel distributed compensation (PDC) controller with respect asymmetric constraints is designed. The main contribution of this work is to extend the available results, in the context of a TS formulation, for symmetrical constraints to asymmetrical ones. Hence, sufficient conditions are obtained for the first time, in terms of linear matrix inequalities (LMIs), for the existence of an asymmetrical constrained PDC controller. Moreover, fuzzy observer based controller with unmeasured premise variables is designed. The performance and effectiveness of the method are illustrated in simulation by considering a fermentation process.

show abstract

Section: A Pdc Controller Design With Respect To Asymmetrical Constramentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Takagi‐Sugeno tracking control of a fermentation process with respect to asymmetric constraints

Mohamed

Karama

Khallouq

2019

Adaptive Control & Signal

View full text Add to dashboard Cite

show abstract

“…(2) For all allowable N w k 2 E Q , k > 0, ellipsoid (35) is a robust invariant set for system (18).…”

Section: Lemmamentioning

confidence: 99%

“…Because of the simplicity of presentation, these limits are symmetrical around zero, but with an appropriate scaling, it is possible to introduce non-symmetrical ones (cf. [18] for further details).…”

Section: Assumptionmentioning

confidence: 99%

Predictive actuator fault‐tolerant control under ellipsoidal bounding

Witczak

Buciakowski

Aubrun

2015

Adaptive Control & Signal

View full text Add to dashboard Cite

The paper is devoted to the issue of a robust predictive fault-tolerant control for linear discrete-time systems with an application of an ellipsoidal inner bounding of a robust invariant set. The crucial issue is to maintain the state of the system inside the robust invariant feasible set, which is a set of states guaranteeing the stability of the proposed control strategy. The approach begins with fault estimation, and then the fault is compensated along with a robust controller. In a case when robust fault compensation does not provide expected results, which means that the current state does not belong to the robust invariant set, then a suitable predictive control action is performed in order to enhance the ellipsoidal invariant set. This appealing phenomenon makes it possible to enlarge the domain of attraction of the possibly faulty system that makes the proposed approach an efficient solution to the fault-tolerant control problem. The final part of the paper shows an illustrative example regarding a two-tank system.

show abstract