Synchronization and Control of Networks with Dynamic Links, Multiplex and Adaptive Structures

Speaker:Prof. Mario di Bernardo (Univerisity of Naples Federico II & University of Bristol）

Time and Date: 9:00-11:30, Oct. 19, 2016

Place: Room 521, Physics Building, Handan Campus

 

 

Abstract

In this talk, we will discuss decentralized and distributed algorithms to control the collective behavior of complex networks. As a representative example, we will focus on the problem of reaching consensus or synchronization in a network of linear or nonlinear, possibly heterogeneous, systems (that we shall term as the “open-loop network”). The use of strategies based on dynamic links will be discussed. A multiplex control architecture will be presented to achieve control of the collective behavior of a complex network of interest when the nodes are heterogeneous and affected by disturbances or uncertainties. The idea is to deploy the control action across multiple layers so that different types of strategies can be used concurrently to better achieve the control objective or to enhance robustness of the closed loop network. The design of a multiplex PID (Proportional-Integral- Derivative) control network will be presented that is able to steer towards consensus or synchronization an heterogeneous ensemble of linear or nonlinear agents with disturbances. This is achieved by deploying on the links of the open loop network different types of coupling [proportional (P), integral (I) or derivative (D)] through different layers, each characterized by a different structure. Conditions linking the strength of the control gains will be derived that link their values with the structural properties of the open loop network and each of the control layers. It will be shown that the main advantage of the multiplex strategy is that the control effort can be substantially reduced by changing the structure of the layers of the control architecture. We will then discuss its robustness to measurement errors and noise and present an adaptive extension of the architecture where the control gains can be adapted in real time so that the network can self-organize to best achieve the desired goal.

 

 

Biography

Mario di Bernardo (SMIEEE ’06, FIEEE 2012) is currently Full Professor of Automatic Control at the University of Naples Federico II, Italy. He is also Professor of Nonlinear Systems and Control at the University of Bristol, U.K. On 28th February 2007 he was bestowed the title of "Cavaliere" of the Order of Merit of the Italian Republic for scientific merits from the President of Italy. In January 2012 he was elevated to the grade of Fellow of the IEEE for his contributions to the analysis, control and applications of nonlinear systems and complex networks. In 2009, He was elected President of the Italian Society for Chaos and Complexity for the term 2010-2013. He was re-elected in 2010 for the term 2014-2017. In 2006 and again in 2009 he was elected to the Board of Governors of the IEEE Circuits and Systems Society. From 2011 to 2014 he was Vice President for Financial Activities of the IEEE Circuits and Systems Society. In 2014 he was appointed to the Board of Governors of the IEEE Control Systems Society. His research interests include the analysis, synchronization and control of complex networked systems; the analysis and control of hybrid and piecewise-smooth dynamical systems; nonlinear dynamics, nonlinear control theory and applications to engineering and synthetic biology. He authored or co-authored more than 220 international scientific publications including more than 110 papers in scientific journals, over 100 contributions to refereed conference proceedings, a unique research monograph on the dynamics and bifurcations of piecewise-smooth systems published by Springer-Verlag and two edited books. His h-index is 36 and his publications received almost 5000 citations by other authors. He serves on the Editorial Board of several international scientific journals and conferences. From 1st January 2014 till December 2015 he was Deputy Editor-in-Chief of the IEEE Transactions on Circuits and Systems: Regular Papers. He is Associate Editor of the IEEE Transactions on Control of Network Nonlinear Analysis: Hybrid Systems, the Conference Editorial Board of the IEEE Control System Society and the European Control Association (EUCA). He was Associate Editor of the IEEE Transactions on Circuits and Sytems I: Regular Papers from 1999 to 2002 and again from 2008 to 2010, and the IEEE Transactions on Circuits and Systems II: Brief papers from 2003 till 2008. He is regularly invited as Plenary Speakers in Italy and abroad. He has been organizer and co-organizer of several scientific initiatives and events including international events at Urbino (2011 & 2013), Paris (2010), Bristol (2009), Napoli (2006), Capri (2006), Bristol (2004), Milano (2004). He received funding from several institutions including the EU, the Italian Ministry of University and Research, the UK Research Councils and Industry. He is Distinguished Lecturer of the IEEE Circuits and Systems Society for the term 2016-2017.