Local Sampled-Data Controller Design for T-S Fuzzy Systems With Saturated Actuators

Lopes, Adriano; Guelton, Kevin; Arcese, Laurent; Leite, Valter J. S.

doi:10.1109/lcsys.2020.3019215

Cited by 22 publications

(10 citation statements)

References 24 publications

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“…Nevertheless, in practice, to solve such kind of nonstrictly LMI conditions, these scalars are usually obtained from linear programming and can be searched in a logarithmically spaced family such that r = {−10 6 , … , −10 −5 , −10 −6 , 0, 10 −6 , 10 −5 , … , 10 6 } (r ∈  6 ). As stated in References 4,8,20,39 , this generally outperforms the results obtained without these scalars.…”

Section: Robust H ∞ Controller Designsupporting

confidence: 59%

“…These delays may affect the stability or the performances of such delayed systems, making relevant the development of dedicated theoretical tools for their stability analysis and controller design. Such topics are the subject of several control studies that can be found in the literature such as, for example and among many others dealing with time-varying delays, the recent papers [1][2][3][4][5][6][7][8] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

“…Another interesting problems remains on the fact that many control processes involved a delayed feedback loop, which belongs to the class of dynamical systems with input delays. This is typically the case of systems subject to the sensors' lags, sampled-data control schemes 8,[28][29][30] or networked control systems, 6,13,21,31,32 whose closed-loop dynamics remains in the continuous-time framework as systems with time-varying delays. Note that, most of the aforementioned works focus on systems involving time-varying delays considered as a deterministic function.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Improved robustH_∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays

Bourahala

Rouamel

Guelton

2021

Optim Control Appl Methods

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This article focus on the robust H ∞ stability analysis and controller design for a class of uncertain and disturbed continuous-time systems with input time-varying delays characterized by stochastic Bernoulli distributions. First, robust H ∞ stability conditions for linear continuous systems with interval input time-varying delays is investigated. A delay-distribution-approach is considered to reduce the conservatism of the stability conditions from the convenient selection of a Lyapunov-Krasovskii functional (LKF), which considers both the lower and upper bounds of the stochastic time-varying delay to derive new delay-dependent H ∞ stability conditions in terms of linear matrix inequalities (LMIs). Then, derived from the proposed stability conditions, LMI-based conditions for the design of stabilizing robust H ∞ delayed state feedback controller are proposed. Finally, five numerical examples are considered to show the effectiveness of the proposed stability analysis and controller design conditions, in comparison to previous related results.

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Section: Robust H ∞ Controller Designsupporting

confidence: 59%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Improved robustH_∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays

Bourahala

Rouamel

Guelton

2021

Optim Control Appl Methods

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“…Indeed, the sampled-data control signals, maintained by a zero-order-hold (ZOH) between the successive transmitting instants, and the network-induced delays, can be conveniently rewritten as an overall time-varying input delay for the continuous-time plant to be controlled (see e.g. Fridman, 2014; Hetel et al, 2017; Lopes et al, 2021; Rouamel et al, 2021). This makes dedicated tools for the analysis of systems with time-varying delays suitable for NCS stability analysis and controller design.…”

Section: Introductionmentioning

confidence: 99%

Relaxed stability analysis and sampled-data controller design for networked control systems with network-induced delays

Rouamel

Bourahala

Guelton

2022

Transactions of the Institute of Measurement and Control

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This paper is devoted to the stability analysis and sampled-data controller design problem for networked control systems subject to network-induced delays. The objective is to provide relaxed conditions in terms of linear matrix inequalities. Indeed, reducing the conservatism of such conditions allows to maximize the admissible range of the network-induced delays. To do so, an augmented Lyapunov–Krasovskii functional is proposed, which involves a novel augmented state vector to include as much as possible the information from the time-varying network-induced delay into the stability conditions, together with the use of extended Wirtinger-based inequalities, an extended reciprocal convexity approach and the Finsler’s lemma. Then, declined from the proposed stability conditions, new relaxed delay-dependent conditions for the design of networked sampled-data controllers are proposed. These allow to obtain simultaneously the controller gains and the maximal allowable bound of the network-induced delays with regards to its lower bound. Three illustrative examples are provided to show the effectiveness of the proposed networked control systems stability and controller design conditions, as well as to highlight the so raised conservatism improvements regarding the previous relevant results from the literature.

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“…In [21], for the sampled data control of switched linear systems with average dwell time under variable sampling, a sufficient condition for exponential stability is given by constructing a class of Lyapunov functions. When the saturated actuator is used in nonlinear systems, the problem of local stabilization under sampled-data controller is discussed in [22].…”

Section: Introductionmentioning

confidence: 99%

Sampled-Data Resilient Control for Hybrid Nonlinear Stochastic Systems Under Periodic DoS Attacks

et al. 2021

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This paper concerns the sampled-data resilient control for hybrid nonlinear stochastic systems under periodic denial of service (P-DoS) attacks. First of all, considering that the system is attacked by P-DoS and using the zero-order holder (ZOH) technique to further analyze the impact of such attacks on the control input. Secondly, via using the time-delay transform method, the attacked sampled-data resilient control system is modeled as a switched stochastic nonlinear time-delay closed-loop system. Thirdly, by using the piecewise Lyapunov functional method, the sufficient conditions to guarantee the mean square exponential stability of the attacked system are given. Then, according to these sufficient conditions, the controller parameters are solved when specific Lyapunov functional and controller design are given. Finally, an example is given to illustrate the efficiency of our results.INDEX TERMS Hybrid nonlinear stochastic systems, periodic denial of service (P-DoS) attacks, resilient control, sampled-data.

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Local Sampled-Data Controller Design for T-S Fuzzy Systems With Saturated Actuators

Cited by 22 publications

References 24 publications

Improved robustH_∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays

Improved robustH_∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays

Relaxed stability analysis and sampled-data controller design for networked control systems with network-induced delays

Sampled-Data Resilient Control for Hybrid Nonlinear Stochastic Systems Under Periodic DoS Attacks

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Local Sampled-Data Controller Design for T-S Fuzzy Systems With Saturated Actuators

Cited by 22 publications

References 24 publications

Improved robustH∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays

Improved robustH∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays

Relaxed stability analysis and sampled-data controller design for networked control systems with network-induced delays

Sampled-Data Resilient Control for Hybrid Nonlinear Stochastic Systems Under Periodic DoS Attacks

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Improved robustH_∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays

Improved robustH_∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays