Robust stability of systems with integral control
- 1 January 1983
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
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.Keywords
This publication has 5 references indexed in Scilit:
- Input multiplicities in nonlinear, multivariable control systemsAIChE Journal, 1982
- A condition for robust stabilizabilitySystems & Control Letters, 1982
- 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