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A Sub-optimal Algorithm to Synthesize Control Laws for a Network of Dynamic Agents

Gupta, Vijay and Hassibi, Babak and Murray, Richard M. (2004) A Sub-optimal Algorithm to Synthesize Control Laws for a Network of Dynamic Agents. California Institute of Technology , Pasadena, USA. (Submitted) http://resolver.caltech.edu/CaltechCDSTR:2004.006

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Abstract

We study the synthesis problem of an LQR controller when the matrix describing the control law is constrained to lie in a particular vector space. Our motivation is the use of such control laws to stabilize networks of autonomous agents in a decentralized fashion; with the information flow being dictated by the constraints of a pre-specified topology. In this paper, we consider the finite-horizon version of the problem and provide both a computationally intensive optimal solution and a sub-optimal solution that is computationally more tractable. Then we apply the technique to the decentralized vehicle formation control problem and show that the loss in performance due to the use of the sub-optimal solution is not huge; however the topology can have a large effect on performance.


Item Type:Report or Paper (Technical Report)
Group:Control and Dynamical Systems Technical Reports
Record Number:CaltechCDSTR:2004.006
Persistent URL:http://resolver.caltech.edu/CaltechCDSTR:2004.006
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:28032
Collection:CaltechCDSTR
Deposited By: Imported from CaltechCDSTR
Deposited On:30 Aug 2004
Last Modified:26 Dec 2012 14:29

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