Adaptive input-to-state stable synchronization for uncertain time-delay Lur’e systems

Zhang, Zhi; Yan, Zhilian; Zhou, Jianping; Chen, Yebin

doi:10.1088/1572-9494/ac01dc

Cited by 6 publications

(4 citation statements)

References 36 publications

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“…This class of nonlinear systems can take advantage of the Lur'e format and the sector condition satisfied by the system nonlinearity to derive conditions in the form of linear matrix inequalities (LMIs) that guarantee the MSS (SUYKENS; VANDEWALLE, 1997). The application and effectiveness of some design methods based on these conditions can be seen in (JIN; LU, 2021), (ZHANG et al, 2021) and references cited therein. In the particular case where the system nonlinearity is modeled by a piecewise-affine (PWA) function, specialized stability conditions can be derived as in the works by HU; HUANG; LIN (2004), HU AND LIN (2005) and ZANI (2018).…”

Section: Introductionmentioning

confidence: 99%

Event-Triggered Synchronization of Saturated Lur’e-type Systems

Lisboa

Flores

Moreira

et al. 2021

2021 60th IEEE Conference on Decision and Control (CDC)

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I would like to thank my advisors Prof. Jeferson Vieira Flores and Prof. Luciano Gonçalves Moreira for the opportunity to join the PPGEE; for their valuable guidance throughout my studies and for the continuous support, patience and dedication, without which would not be possible to present this work. I also had great pleasure of working with Prof. João Manoel Gomes da Silva Jr., whose helpful criticisms during the revision process certainly brought my way of thinking to a higher level. Finally, I would like express my sincere gratitude to my parents, who encouraged me in this journey.

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Section: Introductionmentioning

confidence: 99%

Event-Triggered Synchronization of Saturated Lur’e-type Systems

Lisboa

Flores

Moreira

et al. 2021

2021 60th IEEE Conference on Decision and Control (CDC)

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“…[10]; Zhang et al presented an adaptive controller design scheme for achieving the ISS synchronization in the presence of both external disturbance and parameter uncertainties in Ref. [37].…”

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confidence: 99%

“…It is worth mentioning here that the study of DLSs in Refs. [8,10,11,31,37] are on the basis of continuous control inputs. With the advancement of computer and communication technology, the controllers in contemporary control systems are often digitalized.…”

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confidence: 99%

Input-to-state stable synchronization for delayed Lurie systems via sampled-data control

Zhou

et al. 2023

DCDS-B

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<p style='text-indent:20px;'>This paper focuses on the input-to-state stable (ISS) synchronization issue for delayed Lurie systems via sampled-data control. Two time-dependent Lyapunov functionals are constructed for delay functions without and with differentiability restrictions, respectively. Sufficient conditions on the ISS synchronization are established via using the proposed Lyapunov functionals, the reciprocally convex-combination approach, and a few integral inequalities. The gain matrix of the needed sampled-data controller can be attained through solving a couple of linear matrix inequalities, which is numerically easy to handle. Furthermore, the present conditions are capable of ensuring the exponential synchronization of the considered Lurie systems in the absence of external disturbances. In the end, two examples are employed to demonstrate the effectiveness of the established ISS synchronization conditions.</p>

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“…Hence, the stabilization issue of Lurie systems is of considerable theoretical and applied significance. Accordingly, a large number of effective tools, including Lyapunov-Krasovskii functionals [9,20], delay partitioning [14], sampled-data control [17], adaptive control [35], impulsive pinning control [26], and finite-time control [15], have been used to explore the stability/stabilization issue of Lurie systems, and many impressive results are available online for public reference.…”

mentioning

confidence: 99%

Cost-guaranteed exponential stabilization of Lurie systems via switched event-triggered control

Wang¹,

Xu²,

Zhou³

et al. 2023

DCDS-B

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<p style='text-indent:20px;'>This paper studies event-triggered cost-guaranteed stabilization for Lurie systems. For the aim of saving limited communication network resources, a switched event-triggered control mechanism combining periodic sampling and continuous event triggering is adopted in the feedback channel. To explore the stability of the switched closed-loop system, a piecewise functional is constructed to make efficient use of the information involved in the sampling intervals and the nonlinear functions. With the assistance of the constructed functional, various integral inequalities, and the free-weight matrix technique, a criterion on the exponential stability and cost-related performance is established. On the basis of the given criterion, a joint-design method of the needed feedback gain and triggering matrix is derived through eliminating the nonlinear coupling terms therein. Then, an optimization scheme is given for acquiring the minimum cost value while maintaining exponential stability. Lastly, a numerical simulation example is employed to show the applicability of the optimized joint-design method.</p>

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Adaptive input-to-state stable synchronization for uncertain time-delay Lur’e systems

Cited by 6 publications

References 36 publications

Event-Triggered Synchronization of Saturated Lur’e-type Systems

Event-Triggered Synchronization of Saturated Lur’e-type Systems

Input-to-state stable synchronization for delayed Lurie systems via sampled-data control

Cost-guaranteed exponential stabilization of Lurie systems via switched event-triggered control

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