Thermodynamics 2.0 Program: Sessions and Abstracts

Mon - Wed, June 22 - June 24 , 2020 , Massachusetts, USA

Chair: Todd Hylton

Title: The Role of Thermodynamics in the Control of Large-Scale Dynamical Systems and Network Control.

Presenter:

  • Wassim Haddad

(Georgia Institute of Technology, USA)

Bio-sketch

Wassim M. Haddad received the B.S., M.S., and Ph.D. degrees in mechanical engineering from Florida Tech in 1983, 1984, and 1987. Since 1994 he has been with the School of Aerospace Engineering at Georgia Tech, where he holds the rank of Professor, the David Lewis Chair in Dynamical Systems and Control, and Chair of the Flight Mechanics and Control Discipline. He also holds a joint Professor appointment with the School of Electrical and Computer Engineering at Georgia Tech. Dr. Haddad has made numerous contributions to the development of nonlinear dynamical systems, information theory, and control science and engineering. His work in all of these areas has had a tremendous impact on technology developers in the aerospace, biomedical, and electrical engineering communities. His transdisciplinary research in dynamical systems and control is documented in over 650 archival journal and conference publications, and 8 books in the areas of science, mathematics, medicine, and engineering. Dr. Haddad is an NSF Presidential Faculty Fellow, a member of the Academy of Nonlinear Sciences, an IEEE Fellow, and the recipient of the 2014 AIAA Pendray Aerospace Literature Award.

Author(s):

  • Wassim Haddad

(Georgia Institute of Technology, USA)

Abstract:T21.W132

Abstract

Due to advances in embedded computational resources over the last several years, a considerable research effort has been devoted to the control of networks and control over networks. Network systems involve distributed decision-making for coordination of networks of dynamic agents and address a broad area of applications including cooperative control of unmanned air vehicles, microsatellite clusters, mobile robotics, battle space management, and congestion control in communication networks. In this presentation, we will present a thermodynamic-based framework for addressing almost sure consensus problems for nonlinear stochastic multiagent dynamical systems with fixed communication topologies. Specifically, we present distributed nonlinear controller architectures for multiagent coordination over random networks with state-dependent stochastic communication uncertainty. The proposed controller architectures involve the exchange of generalized charge or energy state information between agents guaranteeing that the closed-loop dynamical network is stochastically semistable to an equipartitioned equilibrium representing a state of almost sure consensus consistent with basic thermodynamic principles. Furthermore, extensions for the design of semistable protocols over random networks for achieving coordination tasks in finite time are also presented. Finally, we discuss the notion of energy- and entropy-based hybrid decentralized controllers for the control of complex large-scale dynamical systems that guarantee that each subsystem–subcontroller pair of the hybrid closed-loop system is consistent with basic thermodynamic principles. Several illustrative aerospace examples are given to demonstrate the efficacy of the proposed framework.

Keywords: Energy- and entropy-based stabilization, semistability, consensus protocols, distributed control, nonlinear networks, thermodynamic protocols, communication uncertainty, Markov processes