Dynamic controller design for synchronization of Lur’e type systems subject to control saturation

Fischmann, Micael; Flores, Jeferson Vieira; Silva, J.M. Gomes da

doi:10.1016/j.ifacol.2017.08.1364

Cited by 6 publications

(11 citation statements)

References 18 publications

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“…Chemical and biological processes [4] have safety limits for variables such as temperature and pressure. Electromechanical systems [5,6] usually have constraint actuators like DC-motors that are naturally limited in force (or current-voltage).…”

Section: Motivation and Preliminariesmentioning

confidence: 99%

Robust output‐based controller design for enlarging the region of attraction of input saturated linear systems

Mera

Salgado

Chairez

2019

Asian Journal of Control

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The aim of this study was to design a constrained robust output feedback control strategy for stabilizing linear systems affected by uncertainties and output perturbations. The input is constrained by a saturation function. A classical Luenberger observer reconstructed the states from output observations. The state feedback control employed the estimated states given by the observer. This work proposed a Barrier Lyapunov Function (BLF) to manage the saturation problem in the control input. Moreover, an extended version of the attractive ellipsoid method (AEM) characterized the zone of convergence due the presence of perturbations in the output. A convex optimization procedure, formulated as a set of matrix inequalities, yielded the control parameters and the region of attraction for the close‐loop system as well as a minimal ultimately bounded set for the system trajectories. Numerical simulations supported the theoretical results formulated in this study.

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Section: Motivation and Preliminariesmentioning

confidence: 99%

Robust output‐based controller design for enlarging the region of attraction of input saturated linear systems

Mera

Salgado

Chairez

2019

Asian Journal of Control

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“…Based on the Ref. [46] and (13), we choose the Lyapunov-Krasovskii functional as 4,5,6) identical to the corresponding ones in (13) and…”

Section: Remark 3 Once α(T) β(T)mentioning

confidence: 99%

“…It is worth noting that the dynamical behaviors of chaotic systems are highly sensitive to small changes of initial values and the trajectories in phase space are bounded due to the presence of nonlinearity. Therefore, the problem on chaos synchronization has been widely investigated and a large number of elegant results have been reported [2,3,6,8,10,11,13,14,[23][24][25][26]28,32,[36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile, Lur'e system is an important theoretic model describing how nonlinear uncertainties reflect the dynamic behaviors in a system, which can include linear models and nonlinear ones as its special case and exhibit some chaotic behaviors [18,31]. Therefore, the synchronization in Lur'e systems has received considerable attention and many interesting results have been proposed [2,3,6,8,13,14,[23][24][25][26]32,[36][37][38][39]. The Ref.…”

Section: Introductionmentioning

confidence: 99%

“…The Ref. [6] studied two nonlinear Lur'e ones subject to control saturation and assumed that their outputs were measurable. In [36], two Lur'e networks of homogeneous dimensions were analyzed to tackle the master-slave synchronization only when the relative measurements were available.…”

Section: Introductionmentioning

confidence: 99%

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Sampled-data synchronization of chaotic Lur’e systems via an adaptive event-triggered approach

Yuan

Fei

et al. 2018

Information Sciences

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In this paper, based on nonuniform sampling, the master-slave synchronization in a class of Lur'e systems is studied via using the sampled outputs of error system. Different from existing results, the transmission of control signals is determined by a novel adaptive event-triggered scheme, where the triggering thresholds depend on the dynamic behaviors of controlled systems rather than the predetermined constants as some traditional ones. Through choosing two augmented Lyapunov-Krasovskii functionals (LKFs), some delay-dependent synchronization criteria are formulated and the conservatism can be effectively reduced owing to the utilization of Wirtinger-based inequalities and delay-product-type LKF terms. Especially, the existence of the controller can be easily checked since the derived conditions are presented via LMI forms. Finally, two numerical examples with comparisons and simulations are given to illustrate the proposed results.

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Synchronization Analysis of Piecewise-Linear Lur’e Systems under Sampled-Data Control

2018

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Dynamic controller design for synchronization of Lur’e type systems subject to control saturation

Cited by 6 publications

References 18 publications

Robust output‐based controller design for enlarging the region of attraction of input saturated linear systems

Robust output‐based controller design for enlarging the region of attraction of input saturated linear systems

Sampled-data synchronization of chaotic Lur’e systems via an adaptive event-triggered approach

Synchronization Analysis of Piecewise-Linear Lur’e Systems under Sampled-Data Control

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