Asynchronous Nonfragile Guaranteed Cost Control for Impulsive Switched Fuzzy Systems With Quantizations and Its Applications

Zheng, Qunxian; Xu, Shengyuan; Du, Baozhu

doi:10.1109/tfuzz.2022.3153144

Cited by 18 publications

(27 citation statements)

References 57 publications

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“…So, the inequalities ( 25) and ( 27) have shown the conditions ( 16) and ( 17) of Lemma 2. Hence, combining the above results, the observer error systems (9) are globally exponentially stable with the given level 𝛾 of weighted H ∞ noise suppression under the switching signals satisfying (18). The proof is accomplished.…”

Section: Stability Analysismentioning

confidence: 76%

“…, under the switching signals satisfying (18), the observer error systems (9) are globally exponentially stable with the prescribed level 𝛾 of weighted H ∞ noise attenuation.…”

Section: Stability Analysismentioning

confidence: 99%

“…for any switching signals satisfying (18), the observer error systems (9) are globally exponentially stable with a prescribed weighted H ∞ performance level 𝛾. In addition, the expected observer gains can be gotten as…”

Section: H ∞ Memory Observer Designedmentioning

confidence: 99%

“…The asymptotic stability of switched systems which are unstable under arbitrary switching can be guaranteed if the appropriate switching rule was designed 13 . Consequently, many constrained switching strategies have been proposed, such as the dwell time switching, 14 ADT switching, 15,16 MDADT switching, 17,18 and state‐dependent switching, 19 and many achievements have been achieved for switched systems under the constrained switching 20‐25 …”

Section: Introductionmentioning

confidence: 99%

“…The asymptotic stability of switched systems which are unstable under arbitrary switching can be guaranteed if the appropriate switching rule was designed. 13 Consequently, many constrained switching strategies have been proposed, such as the dwell time switching, 14 ADT switching, 15,16 MDADT switching, 17,18 and state-dependent switching, 19 and many achievements have been achieved for switched systems under the constrained switching. [20][21][22][23][24][25] On another research front, a vast range of applications have been concerned with the state estimation of dynamic systems corrupted by noises, since not all system states are convenient or possible to measure.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A novel H_∞ memory observer design for uncertain switched nonlinear systems using past output measurements

Xiao

Zheng

Wang

2023

Intl J Robust & Nonlinear

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This paper tackles the problem of robust H ∞ memory observer design problem for discrete-time switched nonlinear systems by using past output measurements. Different from traditional design strategies of Luenberger-type observers using the current output measurements, the memory Luenberger-type observer design strategy introduces the past output measurements of switched systems and observers simultaneously. In addition, in order to better describe the observer error systems, a novel augmented state variable framework of the observer error systems is developed. The highlight of this paper lies that the memory observer design strategy is developed by considering past output measurements and state error values of memory observers, whose performance can be improved by increasing the number of past output measurements used in the observer design, which is an important discovery and significant novelty of this work. By combining the multiple Lyapunov functions approach and average dwell time technique, and introducing matrix variables with free structure, new sufficient conditions for weighted H ∞ performance analysis of observer error systems are derived. Then, the memory observer synthesis conditions are obtained in the form of linear matrix inequality (LMI), and the memory observers can be obtained by solving these LMIs. Lastly, two examples are presented to show the advantages and effectiveness of the derived results.

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Section: Stability Analysismentioning

confidence: 76%

“…, under the switching signals satisfying (18), the observer error systems (9) are globally exponentially stable with the prescribed level 𝛾 of weighted H ∞ noise attenuation.…”

Section: Stability Analysismentioning

confidence: 99%

Section: H ∞ Memory Observer Designedmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A novel H_∞ memory observer design for uncertain switched nonlinear systems using past output measurements

Xiao

Zheng

Wang

2023

Intl J Robust & Nonlinear

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Exponential stability of fractional‐order uncertain systems with asynchronous switching and impulses

Zhang,

Nie

2024

Intl J Robust & Nonlinear

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Different from the Mittag–Leffler stability or asymptotic stability, the exponential stability issue, which provides faster and explicit convergence rate, is studied in this paper for fractional‐order uncertain systems with asynchronous switching and impulses, where the impulsive functions rely on not only switching modes but also impulsive time. Instead of using the inequality , by utilizing the theory of fractional‐order differential equations, the methods of Lyapunov function and mathematical induction, some novel and less‐conservative stability criteria are developed, respectively, for the case of switched stable subsystems or switched unstable subsystems. The obtained results build a tradeoff between impulsive function, impulsive interval, average dwell time and fractional order. In addition, our results with are also novel in contrast with the ones of integer‐order switched impulsive systems. Finally, five numerical examples are given to show the effectiveness of theoretical results.

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Finite-Time Control of Nonlinear Impulsive Switched Positive Systems Based on an Event-Triggered Controller

Pan,

Huang,

Shao

2023

Circuits Syst Signal Process

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Asynchronous Nonfragile Guaranteed Cost Control for Impulsive Switched Fuzzy Systems With Quantizations and Its Applications

Cited by 18 publications

References 57 publications

A novel H_∞ memory observer design for uncertain switched nonlinear systems using past output measurements

A novel H_∞ memory observer design for uncertain switched nonlinear systems using past output measurements

Exponential stability of fractional‐order uncertain systems with asynchronous switching and impulses

Finite-Time Control of Nonlinear Impulsive Switched Positive Systems Based on an Event-Triggered Controller

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Asynchronous Nonfragile Guaranteed Cost Control for Impulsive Switched Fuzzy Systems With Quantizations and Its Applications

Cited by 18 publications

References 57 publications

A novel H∞ memory observer design for uncertain switched nonlinear systems using past output measurements

A novel H∞ memory observer design for uncertain switched nonlinear systems using past output measurements

Exponential stability of fractional‐order uncertain systems with asynchronous switching and impulses

Finite-Time Control of Nonlinear Impulsive Switched Positive Systems Based on an Event-Triggered Controller

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A novel H_∞ memory observer design for uncertain switched nonlinear systems using past output measurements

A novel H_∞ memory observer design for uncertain switched nonlinear systems using past output measurements