Abstract
In this paper we provide guaranteed stability regions for multivariable Luré-type systems. Specifically, using the Luré-Postnikov Lyapunov function a guaranteed subset of the domain of attraction for a feedback system whose forward path contains a dynamic linear time-invariant system and whose feedback path contains multiple sector-bounded time-invariant memoryless nonlinearities is constructed via open Lyapunov surfaces. It is shown that the use of open Lyapunov surfaces yields a considerable improvement over closed Lyapunov surfaces in estimating the domain of attraction of the zero solution of the nonlinear system. An immediate application of this result is the computation of transient stability regions for multimachine power systems and computation of stability regions of anti-windup controllers for systems subject to input saturation.
Original language | English (US) |
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Pages (from-to) | 935-949 |
Number of pages | 15 |
Journal | International Journal of Robust and Nonlinear Control |
Volume | 7 |
Issue number | 10 |
DOIs | |
State | Published - Oct 1997 |
Keywords
- Absolute stability
- Domains of attraction
- Lyapunov surfaces
- Multivariable systems
- Popov criterion
- Stability regions
ASJC Scopus subject areas
- Control and Systems Engineering
- General Chemical Engineering
- Biomedical Engineering
- Aerospace Engineering
- Mechanical Engineering
- Industrial and Manufacturing Engineering
- Electrical and Electronic Engineering