Abstract
In this paper, decentralized robust stabilization and performance of two-channel interconnected systems are studied. Necessary and sufficient conditions for decentralized robust stability and robust performance are derived.
It is shown that when local systems are not perfectly modelled, there exists a certain irreducible bound on the robustness for uncertainties in interconnecting channels. On the other hand, when local systems are perfectly modelled, it is demonstrated constructively that when the two local plants do not have common unstable poles, robust stabilization can be achieved for any bounded stable uncertainties in interconnecting channels.
This research is supported in part by the National Science Foundation under grant ECS-9209001.
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© 1995 Springer-Verlag London Limited
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Wang, L.Y., Zhan, W. (1995). On optimal decentralized control. In: Francis, B.A., Tannenbaum, A.R. (eds) Feedback Control, Nonlinear Systems, and Complexity. Lecture Notes in Control and Information Sciences, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027680
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DOI: https://doi.org/10.1007/BFb0027680
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