Abstract
Sufficient conditions are derived for a linear time-invariant interconnected system to be stabilizable by decentralized state feedback. The conditions generalize known results in decentralized control theory and are obtained by combining a state space version of the small gain theorem with results of J.C.Willems on almost invariant subspaces. The stabilizing feedback law is in general of high gain type and the closed loop system has nice robustness properties.
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© 1985 Springer-Verlag
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Linnemann, A. (1985). Decentralized stabilization by high gain feedback. In: Schmidt, G., Singh, M., Titli, A., Tzafestas, S. (eds) Real Time Control of Large Scale Systems. Lecture Notes in Control and Information Sciences, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008310
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DOI: https://doi.org/10.1007/BFb0008310
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