Exponential stabilization for nonlinear coupled dynamical systems via impulsive and sampled‐data control with input constraints

Li, Hongfei; Li, Chuandong; Zhang, Wanli; Cao, Zhengran

doi:10.1002/rnc.4708

Cited by 17 publications

(11 citation statements)

References 39 publications

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“…However, it may be noneconomic. In recent years, discontinuous feedback control approaches, such as intermittent control [7][8][9][10][11][12] and impulse control, [13][14][15][16] have attracted increasing attention because these controllers can achieve the same purposes as the continuous controllers do. And importantly, discontinuous feedback controllers are more economic than continuous controllers.…”

Section: Introductionmentioning

confidence: 99%

Stabilization of delayed nonlinear systems via periodically intermittent event‐triggered control

Zhai

Gao

Wang

2022

Intl J Robust & Nonlinear

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This article investigates the periodically intermittent event‐triggered control (PIEC) for delayed nonlinear systems. The PIEC strategy, by means of introducing event‐triggered strategy into periodically intermittent controller, is proposed to reduce the amount of communications while still preserving a satisfactory closed‐loop performance. Some sufficient conditions are derived, which are incorporated into the controller design to determine the controller gain and the triggered parameters in a co‐design case. The overall strategy ensures a global asymptotic stability for the closed‐loop system and the existence of positive dwell time between two consecutive events. Therefore, Zeno behavior is excluded. Finally, the simulation example of Lu oscillator is given to verify the effectiveness of the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Stabilization of delayed nonlinear systems via periodically intermittent event‐triggered control

Zhai

Gao

Wang

2022

Intl J Robust & Nonlinear

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“…Li et al. reported that the stability condition of a nonlinear sampled‐valued control system with input constraints can be reduced to the LMI condition [27]. Omran et al.…”

Section: Introductionmentioning

confidence: 99%

Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance

Umemoto

Endo

Matsuno

2022

IET Control Theory & Appl

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In this study, the stability of a sampled-value control system with time-and state-dependent disturbance and aperiodic sampling is investigated. To expand the application class of the sampled-value controller, the local stability on a compact set is considered under the assumption of local Lipschitz continuity on the compact set. Because the assumption is weaker than the global Lipschitz continuity, the proposed stability analysis is applicable to a wider class of controlled systems. Global stability under the assumption of global Lipschitz continuity is also considered. The effectiveness of the derived stability condition is verified by conducting numerical simulations with some control parameters variations such as the disturbance magnitude and sample interval.

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“…12 In recent years, a few researchers have begun to investigate actuator saturation in impulsive control systems. 13,14 But, almost all of the existing results assume the value of effective impulsive control signal can be input accurately.…”

Section: Introductionmentioning

confidence: 99%

“…Then, the estimation of attraction domain considering the actuator saturation into impulsive control design is still an open question 12 . In recent years, a few researchers have begun to investigate actuator saturation in impulsive control systems 13,14 . But, almost all of the existing results assume the value of effective impulsive control signal can be input accurately.…”

Section: Introductionmentioning

confidence: 99%

Estimation of attraction domain of nonlinear systems with saturated impulses and input disturbances

et al. 2021

Intl J Robust & Nonlinear

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In this article, the estimation of attraction domain of nonlinear systems with saturated impulses and input disturbances is investigated. The sufficient conditions which can ensure the robust convergence of a class of nonlinear dynamical systems for every initial condition in the attraction domain are established.Moreover, some optimization problems are proposed to design the control gain so as to enlarge the size of the estimation of attraction domain as much as possible with a prespecified decay rate. In addition, the exponential stabilization and the estimation of attraction domain for nonlinear dynamical systems under this saturated impulsive control without disturbances are also studied. Finally, simulation results for a chaotic oscillator are displayed to show the effectiveness and feasibility of our results.

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Exponential stabilization for nonlinear coupled dynamical systems via impulsive and sampled‐data control with input constraints

Cited by 17 publications

References 39 publications

Stabilization of delayed nonlinear systems via periodically intermittent event‐triggered control

Stabilization of delayed nonlinear systems via periodically intermittent event‐triggered control

Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance

Estimation of attraction domain of nonlinear systems with saturated impulses and input disturbances

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