A Network Thermodynamic Framework for the Analysis and Control Design of Large-Scale Dynamical Systems

2006 ◽  
Author(s):  
Wassim M. Haddad ◽  
Quirino Balzano
Author(s):  
Wassim M. Haddad ◽  
Sergey G. Nersesov

This book has described a general stability analysis and control design framework for large-scale dynamical systems, with an emphasis on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures. The large-scale dynamical systems are composed of interconnected subsystems whose relationships are often circular, giving rise to feedback interconnections. This leads to nonlinear models that can exhibit rich dynamical behavior, such as multiple equilibria, limit cycles, bifurcations, jump resonance phenomena, and chaos. The book concludes by discussing the potential for applying and extending the results across disciplines, such as economic systems, network systems, computer networks, telecommunication systems, power grid systems, and road, rail, air, and space transportation systems.


Author(s):  
Wassim M. Haddad ◽  
Sergey G. Nersesov

This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, with an emphasis on vector Lyapunov function methods and vector dissipativity theory. It examines large-scale continuous-time interconnected dynamical systems and describes thermodynamic modeling of large-scale interconnected systems, along with the use of vector Lyapunov functions to control large-scale dynamical systems. It also discusses finite-time stabilization of large-scale systems via control vector Lyapunov functions, coordination control for multiagent interconnected systems, large-scale impulsive dynamical systems, finite-time stabilization of large-scale impulsive dynamical systems, and hybrid decentralized maximum entropy control for large-scale systems. This chapter provides a brief introduction to large-scale interconnected dynamical systems as well as an overview of the book's structure.


Author(s):  
Wassim M. Haddad ◽  
Sergey G. Nersesov

Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures. Large-scale dynamical systems are strongly interconnected and consist of interacting subsystems exchanging matter, energy, or information with the environment. The sheer size, or dimensionality, of these systems necessitates decentralized analysis and control system synthesis methods for their analysis and design. Written in a theorem-proof format with examples to illustrate new concepts, this book addresses continuous-time, discrete-time, and hybrid large-scale systems. It develops finite-time stability and finite-time decentralized stabilization, thermodynamic modeling, maximum entropy control, and energy-based decentralized control. This book will interest applied mathematicians, dynamical systems theorists, control theorists, and engineers, and anyone seeking a fundamental and comprehensive understanding of large-scale interconnected dynamical systems and control.


Author(s):  
Fernando Ornelas-Tellez ◽  
J. Jesus Rico-Melgoza ◽  
Angel E. Villafuerte ◽  
Febe J. Zavala-Mendoza

2018 ◽  
pp. 183-190 ◽  
Author(s):  
Qi ZOU

In order to further improve the synchronicity of stadium lighting, this paper puts forward a design and analysis model of lighting and control for large­scale stadium skating competition. In this paper, the development and mode analysis of lighting system based on micro­grid control are introduced. Then, in the process of analysis, the research model of circuit automatic control for micro­grid control is designed, and the algorithm is used to assist it. Finally, the simulation system is used to test the synchronization of the micro­grid controlled lighting system. The results show that virtual synchronous machine technology can significantly improve the coordination and synchronization of lighting system, and further reduce circuit failures, ensure the smooth lighting of stadiums, and have a good development prospects.


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