Dynamic Feedback Synchronization of Lur'e Networks via Incremental Sector Boundedness
نویسندگان
چکیده
In this note we generalize our results on synchronization of homogeneous Lur’e networks by static, relative state information based protocols from [23] to the case that for each agent only relative measurements are available. We establish sufficient conditions under which a dynamic synchronization protocol exists for such networks. These conditions involve feasibility of a two LMI’s together with a coupling inequality, reminiscent of the well known LMI conditions in H∞ control by measurement feedback. We show that, regardless of the number of agents in the network, only these three inequalities are involved. In the computation of the protocol matrices, the eigenvalues of the Laplacian matrix of the interconnection graph occur. In particular the matrices representing the protocol depend on the smallest nonzero eigenvalue and the largest eigenvalue of the Laplacian matrix. We validate our results by means of a numerical simulation example.
منابع مشابه
Master-slave synchronization of Lur'e systems
In this paper we present a suucient condition for master-slave synchronization of Lur'e systems. The scheme makes use of linear full static state feedback. The criterion is based on a Lur'e-Postnikov Lyapunov function for global asymptotic stability of the error system. The condition is basically the same as the one for global asymptotic stability of the Lur'e system, controlled with linear sta...
متن کاملSynchronization for Complex Dynamic Networks with State and Coupling Time-Delays
This paper is concerned with the problem of synchronization for complex dynamic networks with state and coupling time-delays. Therefore, larger class and more complicated complex dynamic networks can be considered for the synchronization problem. Based on the Lyapunov-Krasovskii functional, a delay-independent criterion is obtained and formulated in the form of linear matrix inequalities (LMIs)...
متن کاملThe Effect of Feedback based on Inherent and Incremental Ability Theories on Dynamic Balance in Middle-aged Women
The aim of this study was to examine the effect of inherent and incremental ability theories feedback on dynamic balance in middle-aged women. 29 middle-aged women (age: 50-60) randomly assigned into two groups (inherent ability= 15 subjects, and incremental ability= 14 subjects). Both groups after the dynamic balance pretest (Timed Up and Go) received different instructions feedback. Immediate...
متن کاملNonlinear H 1 synchronization of Lur ' e systems : dynamic output feedback caseJohan
In this letter we introduce a new master-slave synchronization scheme for Lur'e systems, which makes use of vector eld modulation and dynamic output feedback in order to recover a message signal. The synchronization scheme is represented in standard plant form according to modern control theory. I/O properties of the scheme are analyzed using a dissipativity approach with a quadratic storage fu...
متن کاملSynchronization Criterion for Lur'e Systems via Delayed PD Controller
In this paper, the effects of a time varying delay on a chaotic drive-response synchronization are considered. Using a delayed feedback proportional-derivative (PD) controller scheme, a delay-dependent synchronization criterion is derived for chaotic systems represented by the Lur’e system with sector and slope restricted nonlinearities. The derived criterion is a sufficient condition for the a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IEEE Trans. Automat. Contr.
دوره 61 شماره
صفحات -
تاریخ انتشار 2016