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Robust stability of systems with integral control

Morari, Manfred (1985) Robust stability of systems with integral control. IEEE Transactions on Automatic Control, 30 (6). pp. 574-577. ISSN 0018-9286. doi:10.1109/TAC.1985.1104012.

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A number of necessary and sufficient conditions are derived, which must be satisfied by the plant d.c. gain matrix of a linear time invariant system in order for an integral controller to exist for which the closed loop system is stable. Based on these results, 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:© 1985 IEEE. Manuscript received September 1, 1983; revised May 7, 1984, September 17, 1984, and November 20, 1984. This paper is based upon a prior submission of March 31, 1983. This work was supported by the National Science Foundation under Grant CPE-8115022 and the Department of Energy under Contract DE-AC02-80ER10645.
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Department of Energy (DOE)DE-AC02-80ER10645
Issue or Number:6
Record Number:CaltechAUTHORS:20170724-175321072
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Official Citation:M. Morari, "Robust stability of systems with integral control," in IEEE Transactions on Automatic Control, vol. 30, no. 6, pp. 574-577, Jun 1985. doi: 10.1109/TAC.1985.1104012
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79312
Deposited On:25 Jul 2017 14:40
Last Modified:15 Nov 2021 17:47

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