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Robust stability of systems with integral control

Morari, Manfred (1983) Robust stability of systems with integral control. In: 22nd IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 865-869.

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A necessary and sufficient condition is derived which must be satisfied by the plant steady state gain matrix of a linear time invariant system in order for an integral controller to exist for which the closed loop system is unconditionally stable. Based on this theorem the robustness of integral control systems is analyzed, i.e. the family of plants is defined which are stable when controlled with the same integral controller. Conditions for actuator/sensor failure tolerance of systems with integral control are also given. Finally, parallels are drawn between the results of this paper and the bifurcation theory of nonlinear systems.

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Additional Information:© 1983 IEEE. Financial support from the National Science Foundation (CPE-8115022) and the Department of Energy (DOE contract DE-AC02-80ER10645) is gratefully acknowledged.
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Department of Energy (DOE)DE-AC02-80ER10645
Record Number:CaltechAUTHORS:20170727-173834553
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Official Citation:M. Morari, "Robust stability of systems with integral control," The 22nd IEEE Conference on Decision and Control, San Antonio, TX, USA, 1983, pp. 865-869. doi: 10.1109/CDC.1983.269645
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79521
Deposited On:28 Jul 2017 14:56
Last Modified:15 Nov 2021 17:48

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