Control of systems with actuator saturation non-linearities: An LMI approach
| Autor: | Vikram Kapila, Andrew G. Sparks, Haizhou Pan |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Lyapunov function
Engineering business.industry Multivariable calculus Stability (learning theory) Plant Control engineering Computer Science Applications Set (abstract data type) symbols.namesake Exponential stability Control and Systems Engineering Control theory Face (geometry) symbols Actuator business |
| Zdroj: | International Journal of Control. 74:586-599 |
| ISSN: | 1366-5820 0020-7179 |
| DOI: | 10.1080/00207170010023151 |
| Popis: | In this paper, we develop a static, full-state feedback and a dynamic, output feedback control design framework for continuous-time, multivariable, linear, time-invariant systems subject to time-invariant, sector-bounded, input non-linearities. The proposed framework directly accounts for robust stability and robust performance over the class of input non-linearities. Specifically, the problem of feedback control design in the presence of time-invariant, sector-bounded, input non-linearities is embedded within a Lure-Postnikov Lyapunov function framework by constructing a set of linear-matrix-inequality conditions whose solution guarantees closed-loop asymptotic stability with guaranteed domains of attraction in the face of time-invariant, sector-bounded, actuator non-linearities. A detailed numerical algorithm is provided for solving the linear-matrix-inequality conditions arising in actuator saturation control. Three illustrative numerical examples are presented to demonstrate the effectiveness of the p... |
| Databáze: | OpenAIRE |
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