Robust stability of systems with integral control
- 1 June 1985
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 30 (6) , 574-577
- https://doi.org/10.1109/tac.1985.1104012
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- Robust stability of systems with integral controlPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1983
- A condition for robust stabilizabilitySystems & Control Letters, 1982
- On the initialization problem in the parameter optimization of structurally constrained industrial regulatorsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1981
- A Complex Variable Approach to the Analysis of Linear Multivariable Feedback SystemsPublished by Springer Nature ,1979
- On “type l” multivariable linear systemsAutomatica, 1973
- On a new measure of interaction for multivariable process controlIEEE Transactions on Automatic Control, 1966