11-1-2011 Network Synthesis for Dynamical System Stabilization

We present our recent results in the area of distributed control over wireless networks. In our previous work, we introduced the concept of a Wireless Control Network (WCN), where the network acts as a decentralized structured controller. In this case, the network is not used only as a communication medium (as in traditional control paradigms), but instead as a fully distributed computational substrate. We show that the dynamics of the plant dictate the types of network topologies that can be used to stabilize the system. Finally, we describe how to obtain a stabilizing configuration for the WCN if the topological conditions are satisfied. Disciplines Controls and Control Theory | Systems and Communications Comments Suggested Citation: M. Pajic, S. Sundaram, G.J. Pappas and R. Mangharam, "Network Synthesis for Dynamical System Stabilization", Asilomar Conference on Signals, Systems, and Computers, November 2011. ©2011 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This conference paper is available at ScholarlyCommons: http://repository.upenn. edu/mlab_papers/41 Network Synthesis for Dynamical System Stabilization Miroslav Pajic Department of Electrical and Systems Engineering, University of Pennsylvania pajic@seas.upenn. edu Philadelphia, PA, USA 19014 Shreyas Sundaram Department of Electrical and Computer Engineering, University of Waterloo Waterloo, ON, Canada, N2L 3G1 ssundara@uwaterloo.ca George J. Pappas and Rahul Mangharam Department of Electrical and Systems Engineering, University of Pennsylvania Philadelphia, PA, USA 19014 {pappasg,rahulm}@seas.upenn. edu Abstract—We present our recent results in the area of distributed control over wireless networks. In our previous work, we introduced the concept of a Wireless Control Network (WCN), where the network acts as a decentralized structured controller. In this case, the network is not used only as a communication medium (as in traditional control paradigms), but instead as a fully distributed computational substrate. We show that the dynamics of the plant dictate the types of network topologies that can be used to stabilize the system. Finally, we describe how to obtain a stabilizing configuration for the WCN if the topological conditions are satisfied.We present our recent results in the area of distributed control over wireless networks. In our previous work, we introduced the concept of a Wireless Control Network (WCN), where the network acts as a decentralized structured controller. In this case, the network is not used only as a communication medium (as in traditional control paradigms), but instead as a fully distributed computational substrate. We show that the dynamics of the plant dictate the types of network topologies that can be used to stabilize the system. Finally, we describe how to obtain a stabilizing configuration for the WCN if the topological conditions are satisfied.