Analysis of slow convergence regions in adaptive systems
| Autor: | Eugene Lavretsky, Oscar Nouwens, Anuradha M. Annaswamy |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
020301 aerospace & aeronautics
0209 industrial biotechnology State variable Adaptive control Magnitude (mathematics) 02 engineering and technology State (functional analysis) 020901 industrial engineering & automation 0203 mechanical engineering Control theory Adaptive system Convergence (routing) Transient (oscillation) Reference model Mathematics |
| Zdroj: | ACC |
| DOI: | 10.1109/acc.2016.7526775 |
| Popis: | We examine convergence properties of errors in a class of adaptive systems that corresponds to adaptive control of linear time-invariant plants with state variables accessible. We demonstrate the existence of a sticking region in the error space where the state errors move with a finite velocity independent of their magnitude. We show that these properties are also exhibited by adaptive systems with closed-loop reference models which have been demonstrated to exhibit improved transient performance as well as those that include an integral control in the inner-loop. A simulation study is included to illustrate the size of this sticking region and its dependence on various system parameters. |
| Databáze: | OpenAIRE |
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