Non‐fragile control of periodic piecewise linear time‐varying systems with time delay

Liu, Yun; Li, Panshuo; Xie, Xiaochen; Zhang, Bin

doi:10.1049/iet-cta.2019.0039

Cited by 26 publications

(11 citation statements)

References 27 publications

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“…Therefore, it is necessary and important to deal with the complications resulting from the combination of time‐varying delay and periodicity in various practical systems. Considerable efforts devoted to the study of stability and control problems of delayed PPSs are reported in the literature [14–16]. The authors in [14] proposed an

H_{\infty}

control scheme for a class of PPSs with time‐invariant subsystems, disturbances and time‐varying delay, which ensures the exponential stability of the system.…”

Section: Introductionmentioning

confidence: 99%

“…Xie and Lam [15] developed a guaranteed cost periodic control scheme for delayed PPSs with time‐invariant subsystems. In [16], the non‐fragile controller with additive and multiplicative gain perturbations is designed to stabilise the closed‐loop delayed PPSs with time‐varying subsystems, but it is limited to constant delays. However, to the best of the present author's knowledge, no work on the combination of PPSs with time‐varying subsystems and time‐varying delays has been reported in the literature.…”

Section: Introductionmentioning

confidence: 99%

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Disturbance estimation based tracking control for periodic piecewise time‐varying delay systems

Sakthivel

Harshavarthini

Tatar

2020

IET Control Theory & Appl

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This work is mainly focused on the design of uncertainty and disturbance estimator‐based tracking control scheme for a class of periodic piecewise time‐varying delay systems with uncertainties and disturbances. Precisely, the considered system consists of several subsystems, where the fixed dwell time and switching sequence are utilised to achieve the coordination between each subsystem. By constructing Lyapunov–Krasovskii functional with time‐varying periodic piecewise matrices and employing the matrix polynomial approach, an uncertainty and disturbance estimator‐based periodic tracking control design is developed such that the trajectories of the considered system are driven to track the reference model. Moreover, the lumped disturbances so called the summation of uncertainties and exogenous disturbances are estimated with the aid of strictly proper low‐pass filter. Finally, a numerical example is presented to verify the effectiveness and advantages of the developed theoretical results.

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H_{\infty}

control scheme for a class of PPSs with time‐invariant subsystems, disturbances and time‐varying delay, which ensures the exponential stability of the system.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Disturbance estimation based tracking control for periodic piecewise time‐varying delay systems

Sakthivel

Harshavarthini

Tatar

2020

IET Control Theory & Appl

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“…Many attractive results related to non-fragile problems are expressed in the research articles. In [21], non-fragile control of periodic piecewise linear time-varying systems with time delay has been discussed. Finite-time non-fragile control of a class of uncertain linear positive systems have been considered in [22].…”

Section: Introductionmentioning

confidence: 99%

Finite‐time sampled‐data fuzzy control for a non‐linear system using passivity and passification approaches and its application

Vadivel

Joo

2020

IET Control Theory & Applications

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“…The non-fragile synchronisation control scheme was provided in [31] for complex networks with time-varying coupling delay and missing data. Inspired by existing works, the non-fragile control strategies of periodic piecewise time-varying system were studied in [32,33], but various performance indices are not taken into account.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Non-Fragile Extended Dissipative Control of Periodic Piecewise Time-Varying Systems

Liu

Deng

et al. 2020

IEEE Access

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This paper studies the problem of finite-time non-fragile extended dissipative control for the periodic piecewise time-varying systems. First, based on the time-varying Lyapunov matrix and the matrix polynomial condition, a sufficient condition of finite-time boundedness for periodic piecewise time-varying subsystem is derived, and the finite-time extended dissipative performance is then analyzed. Furthermore, considering two types of time-varying controller perturbations, the non-fragile controllers are developed, which can guarantee the finite-time boundedness of periodic piecewise time-varying systems and satisfy the extended dissipative performance at the same time. Finally, numerical examples demonstrate the effectiveness of the proposed methods.

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Non‐fragile control of periodic piecewise linear time‐varying systems with time delay

Cited by 26 publications

References 27 publications

Disturbance estimation based tracking control for periodic piecewise time‐varying delay systems

Disturbance estimation based tracking control for periodic piecewise time‐varying delay systems

Finite‐time sampled‐data fuzzy control for a non‐linear system using passivity and passification approaches and its application

Finite-Time Non-Fragile Extended Dissipative Control of Periodic Piecewise Time-Varying Systems

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