On maximizing the convergence rate for linear systems with input saturation
| Autor: | Y. Shamash, Tingshu Hu, Zongli Lin |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Lyapunov function
Linear system Maximization Ellipsoid Computer Science Applications symbols.namesake Rate of convergence Control and Systems Engineering Control theory Convergence (routing) symbols Applied mathematics Lyapunov equation Electrical and Electronic Engineering Saturation (chemistry) Bang–bang control Mathematics |
| Zdroj: | Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148). |
| DOI: | 10.1109/acc.2001.945760 |
| Popis: | In this note, we consider a few important issues related to the maximization of the convergence rate inside a given ellipsoid for linear systems with input saturation. For continuous-time systems, the control that maximizes the convergence rate is simply a bang-bang control. Through studying the system under the maximal convergence control, we reveal several fundamental results on set invariance. An important consequence of maximizing the convergence rate is that the maximal invariant ellipsoid is produced. We provide a simple method for finding the maximal invariant ellipsoid, and we also study the dependence of the maximal convergence rate on the Lyapunov function. |
| Databáze: | OpenAIRE |
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