Distributed Design Methods for Linear Quadratic Control and Their Limitations
(2010) IEEE Transactions on Automatic Control — Vol. 55, n° 9, p. 2085-2093 (2010)
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- Abstract
- We introduce the notion of distributed design methods, which construct controllers by accessing a plant's description in a constrained manner. We propose performance and information metrics for these design methods, and investigate the connection between closed-loop performance of the best controller they can produce and the amount of exchanged information about the plant. For a class of linear discrete-time, time invariant plants, we show that any communication-less distributed control method results in controllers whose performance is, at least, twice the optimal in the worst-case. We then give a bound on the minimal amount of exchanged information necessary to beat the best communication-less design strategy. We also show that, in the case of continuous-time plants, the worst-case performance of controllers constructed by communication-less design strategies is unbounded.
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Langbort, C., & Delvenne, J.-C. (2010). Distributed Design Methods for Linear Quadratic Control and Their Limitations. IEEE Transactions on Automatic Control, 55(9), 2085-2093. https://doi.org/10.1109/TAC.2010.2044270 (Original work published 2010)