Global stabilization via sampled-data output feedback for large-scale systems interconnected by inherent nonlinearities

Su, Zhi‐gang; Qian, Chunjiang; Hao, Yongsheng; Zhao, Ming

doi:10.1016/j.automatica.2018.03.057

Cited by 47 publications

(67 citation statements)

References 14 publications

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“…4. Different from the works of Zhang et al 28 and Su et al, 29 the unknown external disturbance is considered and the assumption regarding interconnected nonlinear functions is more general, which expand the scope of application of the systems.…”

Section: And Zhang Andmentioning

confidence: 97%

“…Remark In many existing literature, nonlinear functions ϕ i , j ( x ( t )) should satisfy the linear growth conditions or the control coefficients ρ i , j ( t )=1. Moreover, the all aforementioned results are achieved under the fault‐free conditions.…”

Section: Problem Description and Preliminariesmentioning

confidence: 99%

“…Remark Assumption presents the existence of inherently nonlinear interconnection terms in nonlinear functions. If l i ,2 =0, it becomes the assumption given in the work of Su et al Moreover, when l i ,2 =0 and κ i = κ j , ∀ i , j =1,…, m , this assumption reduces to the common linear growth condition used in the work of Zhang et al, that is, Assumption can cover more general nonlinearities.…”

Section: Problem Description and Preliminariesmentioning

confidence: 99%

“…30-32 3. The existence of the unknown time-varying control coefficients and actuator faults make it difficult to estimate the unmeasured states by full-order observers adopted in the works of Zhou et al, 5 Zhang et al, 6 and Su et al 29 A novel coordinate transformation is given and a novel reduced-order observer using only fault output is constructed to overcome the obstacle. 4.…”

Section: And Zhang Andmentioning

confidence: 99%

“…Thus, the proposed control strategy can handle more kinds of actuator faults than those in the existing results The existence of the unknown time‐varying control coefficients and actuator faults make it difficult to estimate the unmeasured states by full‐order observers adopted in the works of Zhou et al, Zhang et al, and Su et al A novel coordinate transformation is given and a novel reduced‐order observer using only fault output is constructed to overcome the obstacle. Different from the works of Zhang et al and Su et al, the unknown external disturbance is considered and the assumption regarding interconnected nonlinear functions is more general, which expand the scope of application of the systems. …”

Section: Introductionmentioning

confidence: 99%

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Global decentralized sampled‐data output feedback stabilization for a class of large‐scale nonlinear systems with sensor and actuator failures

Shi

Xiang

2019

Intl J Robust & Nonlinear

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Summary In this paper, we investigate global decentralized sampled‐data output feedback stabilization problem for a class of large‐scale nonlinear systems with time‐varying sensor and actuator failures. The considered systems include unknown time‐varying control coefficients and inherently nonlinear terms. Firstly, coordinate transformations are introduced with suitable scaling gains. Next, a reduced‐order observer is designed to estimate unmeasured states. Then, a decentralized sampled‐data fault‐tolerant control scheme is developed with an allowable sampling period. By constructing an appropriate Lyapunov function, it can be shown that all states of the resulting closed‐loop system are globally uniformly ultimately bounded. Finally, the validity of the proposed control approach is verified by using two examples.

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Section: And Zhang Andmentioning

confidence: 97%

Section: Problem Description and Preliminariesmentioning

confidence: 99%

Section: Problem Description and Preliminariesmentioning

confidence: 99%

Section: And Zhang Andmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Global decentralized sampled‐data output feedback stabilization for a class of large‐scale nonlinear systems with sensor and actuator failures

Shi

Xiang

2019

Intl J Robust & Nonlinear

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Robust and quantized repetitive tracking control for fractional‐order fuzzy large‐scale systems

Tharanidharan,

Saravanakumar,

Anthoni

2024

Adaptive Control & Signal

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SummaryIn this article, the decentralized repetitive tracking controller design for fractional‐order large‐scale Takagi–Sugeno fuzzy system with time delays is developed. We mainly focus on the design of a decentralized repetitive tracking controller based on the Lyapunov stability theory, by which the addressed large‐scale system asymptotically stabilized with performance index. Further, the repetitive control with quantized signal is developed to ensure the good tracking performance with the presence of interconnected model and external disturbances. Specifically, a logarithmic quantizer is used to quantify the control signal which can reduce the data transmission rate in the network. Finally, a numerical example is presented to verify the effectiveness of the proposed controller design technique.

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Stability analysis of interconnected nonlinear fractional‐order systems via a single‐state variable control

Sun

Dai

et al. 2019

Intl J Robust & Nonlinear

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SummaryThis paper is devoted to investigating the stability of interconnected nonlinear fractional‐order systems via a single‐state variable control. First of all, based on stability theory, the Grönwall‐Bellman lemma and the Mittag‐Leffler function, the relevant stability results are derived. The obtained results are general and can further extend the application range. Meanwhile, an improved single‐state variable control method is introduced. The control scheme only needs to control some state variable of the system or some subsystem(s) to realize and any additional restrictions are not added. Finally, the effectiveness of the obtained results is demonstrated by several typical examples. Besides, by comparison, simulation results show that the proposed control method can indeed decrease the design and control cost and improve flexibility of control.

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Global stabilization via sampled-data output feedback for large-scale systems interconnected by inherent nonlinearities

Cited by 47 publications

References 14 publications

Global decentralized sampled‐data output feedback stabilization for a class of large‐scale nonlinear systems with sensor and actuator failures

Global decentralized sampled‐data output feedback stabilization for a class of large‐scale nonlinear systems with sensor and actuator failures

Robust and quantized repetitive tracking control for fractional‐order fuzzy large‐scale systems

Stability analysis of interconnected nonlinear fractional‐order systems via a single‐state variable control

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