Robust stabilizing controller design for Takagi–Sugeno fuzzy descriptor systems under state constraints and actuator saturation

Dang, Quoc Viet; Vermeiren, Laurent; Dequidt, Antoine; Dambrine, Michel

doi:10.1016/j.fss.2017.02.006

Cited by 35 publications

(21 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The structure of the proposed controller consists on a combined classical PDC law for T-S descriptor systems with a filtered saturation error (Dang et al, 2017). It can be considered as a reminiscent of dynamical anti-windup controller for linear systems (Tarbouriech et al, 2011).…”

Section: Remark 22mentioning

confidence: 99%

“…• [State constraints]: Given a matrix N k ∈ R n , k ∈ N q for any x(0) ∈ S(P, γ ) and w(t) ∈ Q δ the closed-loop system remains inside the admissible set H x defined by Dang et al (2017):…”

Section: Control Problem Definitionmentioning

confidence: 99%

“…Thus, an immense deal of attention has been focused on the control design of CONTACT S. Aouaouda sabrina.aouaouda@univ-soukahras.dz Faculty of Sciences and Technologies, University of Souk Ahras, LEER-BP 1553, Souk Ahras 41000, Algeria T-S models with saturated inputs (Benzaouia, El hajjaji, Hmamed, & Oudah, 2015;Kim, Lee, & Park, 2009;Rotondo, Ponsart, Theilliol, Nejjari, & Puig, 2015;Saifia, Chadli, Labiod, & Guerra, 2012;Tarbouriech, Garcia, Gomes da Silva, & Queinnec, 2011). Among the most popular works dealing with saturated input constraints, the convexity based approach to the saturation function (see Dang, Vermeiren, Dequidt, & Dambrine, 2017;Nguyen, Dambrine, & Lauber, 2016 and the references therein).The main idea is to consider a bounded ellipsoidal symmetric region of stability by solving a set of LMIs. More specifically, for control design with input saturation, two classes of strategies have been distinguished.…”

Section: Introductionmentioning

confidence: 99%

“…• The L 2 -gain performance is used to attenuate the extragenous disturbances and the derived conditions of asymptotic stability in the presence of sensor faults are established and solved by means of LMI convex optimisation. • Compared to the approach presented in (Bezzaoucha et al, 2016;Dang et al, 2017;Nguyen et al, 2016) the proposed FTC controller design method has the ability to preserve stability for open-loop unstable systems. Accordingly, a large class of nonlinear constrained systems can be considered.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Robust fault tolerant controller design for Takagi-Sugeno systems under input saturation

Aouaouda

Chadli

2019

International Journal of Systems Science

View full text Add to dashboard Cite

In this paper, we address the problem of fault tolerant constrained control (FTCC) design with multiobjective requirement for a class of uncertain Takagi-Sugeno systems subject to input and state constraints. An integrated robust FTC strategy is adopted by combining a descriptor approach and a novel structure of parallel distributed compensation control laws. This ensures the closed-loop system stability of the faulty system and respects the given saturation constraints on the control input. The optimisation problem is formulated using fuzzy Lyapunov function, and expressed in terms of linear matrix inequality constraints (LMIs). Numerical examples are given to show the effectiveness of the proposed FTCC approach for both measurable and unmeasurable decision variables cases.

show abstract

Section: Remark 22mentioning

confidence: 99%

Section: Control Problem Definitionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust fault tolerant controller design for Takagi-Sugeno systems under input saturation

Aouaouda

Chadli

2019

International Journal of Systems Science

View full text Add to dashboard Cite

show abstract

“…[1][2][3][4] At the same time, analysis and control for such systems have attracted researchers and scientists due to their general description. For instance, results on admissibility analysis of discrete-time linear descriptor systems with uncertain time-varying parameters based on parameter-dependent Lyapunov functions were given in the work of Dang et al 5 Nonlinear systems for which the models are described by Takagi-Sugeno fuzzy descriptor systems and are subject to input and state constraints have also been studied. 6 Interesting results on control and fault estimation problems have been developed for singular linear systems using different approaches.…”

Section: Introductionmentioning

confidence: 99%

Output feedback preview tracking control for time‐varying polytopic descriptor systems

Yan

2019

Optim Control Appl Methods

View full text Add to dashboard Cite

Summary This paper focuses on the problem of static output feedback preview tracking control for discrete‐time descriptor systems with time‐varying parameters subject to a previewable reference signal. First, an augmented error system including the information of the future reference signal is constructed based on the error system approach. Second, a preview control policy is constructed by integrating output feedback, preview action, and integral operation. Relying on the augmentation modeling technique, a linear preview control design problem is transformed into an equivalent augmented output‐feedback control design problem. New design conditions guaranteeing the existence of a stabilizing controller are recast as an LMI‐based feasibility problem. The proposed preview controller design method requires neither special constraints on the state‐space system matrices nor a high‐dimensional augmented error system. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

show abstract

An application of a fuzzy system for solving time delay fractional optimal control problems with Atangana–Baleanu derivative

Mortezaee

Ghovatmand

Nazemi

2022

Optim Control Appl Methods

View full text Add to dashboard Cite

In this article, a new approach based on fuzzy systems is used for solving time delay fractional order optimal control problems. The fractional derivatives are considered in the Atangana–Baleanu sense that is a new derivative with the nonsingular and nonlocal kernel. By means of the calculus of variations and the formula for fractional integration by parts, the necessary optimality conditions associated to the time delay problem is derived. In order to solve the obtained optimality system, the solution of the system is first approximated by fuzzy solutions with adjustable parameters. The optimality system is then reduced to an unconstrained optimization problem by using appropriate error function. A learning algorithm is also presented to achieve the parameters of these fuzzy solutions. The efficiency and accuracy of the proposed approach are assessed through some illustrative examples of the time delay fractional optimal control problems.

show abstract

Robust stabilizing controller design for Takagi–Sugeno fuzzy descriptor systems under state constraints and actuator saturation

Cited by 35 publications

References 35 publications

Robust fault tolerant controller design for Takagi-Sugeno systems under input saturation

Robust fault tolerant controller design for Takagi-Sugeno systems under input saturation

Output feedback preview tracking control for time‐varying polytopic descriptor systems

An application of a fuzzy system for solving time delay fractional optimal control problems with Atangana–Baleanu derivative

Contact Info

Product

Resources

About