Control and signaling in distributed linear control systems allowing choices

Distributed choice-based control systems are those where the controls exerted by the agents depend on the choices they have individually selected. They form an interesting class of decentralized systems in which control strategies are entangled with information structures. This paper focuses on linear systems that are jointly manipulated by multiple agents. We show how target-realizing controls depend on the information possessed by the agents and how control actions can serve as signaling tools. Related issues including feasibility and optimality of control laws are discussed.

[1]  John Baillieul,et al.  Exploiting information content in relative motion , 2009, 2009 American Control Conference.

[2]  H. Witsenhausen.  A Counterexample in Stochastic Optimum Control , 1968 .

[3]  Andrew G. Sparks,et al.  Spacecraft formation flying: dynamics and control , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[4]  Wing Shing Wong,et al.  Cooperative control of linear systems with choice actions , 2013, 2013 American Control Conference.

[5]  Austin Jones,et al.  A motion-based communication system , 2013, 2013 American Control Conference.

[6]  Anant Sahai,et al.  Approximately Optimal Solutions to the Finite-Dimensional Witsenhausen Counterexample , 2013, IEEE Transactions on Automatic Control.

[7]  Wing Shing Wong,et al.  Control Communication Complexity of Distributed Actions , 2012, IEEE Transactions on Automatic Control.

[8]  Emilio Frazzoli,et al.  Efficient Routing Algorithms for Multiple Vehicles With no Explicit Communications , 2009, IEEE Transactions on Automatic Control.

[9]  John Baillieul,et al.  The control theory of motion-based communication: Problems in teaching robots to dance , 2012, 2012 American Control Conference (ACC).

[10]  Yu-Chi Ho,et al.  Team decision theory and information structures , 1980 .

[12]  Y. Ho,et al.  Team decision theory and information structures in optimal control problems: Part II , 1971, CDC 1971.

[13]  Pulkit Grover,et al.  Actions can speak more clearly than words , 2010 .

[14]  George M. Siouris,et al.  Applied Optimal Control: Optimization, Estimation, and Control , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[15]  S. Mitter,et al.  Information and control: Witsenhausen revisited , 1999 .

[16]  T. Başar,et al.  Stochastic Teams with Nonclassical Information Revisited: When is an Affine Law Optimal? , 1986, 1986 American Control Conference.

[17]  Wing Shing Wong.  Control Communication Complexity of Distributed Control Systems , 2009, SIAM J. Control. Optim..

[18]  Wing Shing Wong,et al.  Control Communication Complexity of Nonlinear Systems , 2009, Commun. Inf. Syst..