Feedback Stabilization of Switched Linear Systems With Unknown Disturbances Under Data-Rate Constraints

Yang, Guosong; Liberzon, Daniel

doi:10.1109/tac.2017.2767822

Cited by 62 publications

(71 citation statements)

References 27 publications

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“…The results in the work of Yang and Liberzon cannot be applied to this study with the assumption of slow‐varying disturbance to obtain the asymptotic convergence. The reason is that the upper‐bound estimate of disturbance is contained in the steady‐state error given in the work of Yang and Liberzon . Our quantization policy given in does not need the online detection of quantizer saturation.…”

Section: Event‐based Dynamic Quantizer Design and Stability Analysismentioning

confidence: 99%

“…Remark In the recent literature, although a more general disturbance is considered in the quantization design, the concern is the practical stability based on the approach of over‐approximation and propagation of reachable sets and the quantizer saturation needs to be detected online. The results in the work of Yang and Liberzon cannot be applied to this study with the assumption of slow‐varying disturbance to obtain the asymptotic convergence. The reason is that the upper‐bound estimate of disturbance is contained in the steady‐state error given in the work of Yang and Liberzon .…”

Section: Event‐based Dynamic Quantizer Design and Stability Analysismentioning

confidence: 99%

“…Our quantization policy given in does not need the online detection of quantizer saturation. In addition, Yang and Liberzon consider the state quantization while the output quantization is addressed in our work.…”

Section: Event‐based Dynamic Quantizer Design and Stability Analysismentioning

confidence: 99%

“…(ii) The time‐triggered update policy of quantizer provided in other works becomes inefficient because, in the presence of switches and disturbances, the explicit calculation of time period between any two updates is hard and conservative. (iii) The online detection of quantizer saturation is expected to avoid due to its drawbacks and the disturbance can lead to nonzero steady‐state errors as obtained in the aforementioned works …”

Section: Introductionmentioning

confidence: 99%

“…For this objective, the results in the works of Ren and Xiong and Zheng et al extend the approach in the work of Liberzon but need to directly detect the quantizer saturation online periodically. For systems with both switches and disturbances, the recent work of Yang and Liberzon uses the approach of reachable‐set approximation and propagation from the work of Liberzon to design a dynamic quantization algorithm. In this algorithm, the update law of quantizer can be changed with the switching signal but the quantizer saturation still needs to be detected online.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Stabilization of switched nonlinear systems with dynamic output quantization and disturbances

Lian

2020

Intl J Robust & Nonlinear

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Summary This paper studies the problem of quantized output feedback stabilization for a disturbed discrete‐time switched system. With the quantized output measurement, an extended state current estimator is constructed to estimate the state and disturbance. In the presence of switches and disturbances, the design of quantization scheme becomes a big challenge to avoid the quantizer saturation and guarantee the control precision. In this setup, the well‐applied time‐triggered method to design the update policy of dynamic quantization parameter is hard to implement. We solve the above problem by proposing a novel event‐triggered update policy of quantization parameter, by which the quantizer update is adaptive to the switching signal and the bound of disturbance difference. Consequently, the quantizer saturation is avoided and, combined with the designed dwell‐time switching law, the system state can converge to the origin. The proposed method is illustrated by a numerical example.

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Section: Event‐based Dynamic Quantizer Design and Stability Analysismentioning

confidence: 99%

Section: Event‐based Dynamic Quantizer Design and Stability Analysismentioning

confidence: 99%

Section: Event‐based Dynamic Quantizer Design and Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stabilization of switched nonlinear systems with dynamic output quantization and disturbances

Lian

2020

Intl J Robust & Nonlinear

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An approach to the stability of reset switched systems using dynamics without reset

Carapito

Brás

Rocha

2023

Math Methods in App Sciences

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In this paper, we consider switched linear systems that have jumps in the state (determined by a reset rule) at each switching instant. Those systems are called switched systems with state reset. We show that it is possible to analyze the state trajectories of a switched system with state reset by considering suitable switched systems without state resets, that is, with continuous state trajectories. We establish sufficient conditions for the stability of switched systems with state reset using the associated systems without reset. Moreover, introducing some restrictions, we also derive simple algebraic stability conditions. The obtained results are used in numerical examples to show the effectiveness of the proposed approach.

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Practical stability analysis of sampled‐data switched systems with quantization and delay

Yan

Wang

Xia

et al. 2020

Intl J Robust & Nonlinear

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SummaryThis article is addressed with the problem of stabilizing a switched linear system using the sampled and quantized state feedback under the influence of time‐varying delay. The switching is supposed to be slow enough in the sense of dwell time, and each individual mode is assumed to be stabilizable. By expanding the approach of attractor set from an earlier result on the delay‐free case, we establish the relationship between the state and the adjacent sampling state by introducing a monotonically increasing sequence, and analyze the mismatch time with classification. On the basis of this, the increment rate of the Lyapunov function and the total mismatch time are combined to achieve the practical stability with an attractor set.

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Feedback Stabilization of Switched Linear Systems With Unknown Disturbances Under Data-Rate Constraints

Cited by 62 publications

References 27 publications

Stabilization of switched nonlinear systems with dynamic output quantization and disturbances

Stabilization of switched nonlinear systems with dynamic output quantization and disturbances

An approach to the stability of reset switched systems using dynamics without reset

Practical stability analysis of sampled‐data switched systems with quantization and delay

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