Adaptive Set-Point Regulation using Multiple Estimators
Autor: | Daniel E. Miller, Mohamad T. Shahab |
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Rok vydání: | 2019 |
Předmět: |
0209 industrial biotechnology
Estimation theory Estimator 02 engineering and technology Noise 020901 industrial engineering & automation Cover (topology) Exponential stability Bounded function 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Point (geometry) Finite set Mathematics |
Zdroj: | CDC |
DOI: | 10.1109/cdc40024.2019.9029713 |
Popis: | In this paper, we consider the problem of steptracking for an nth-order discrete-time plant with unknown plant parameters belonging to a closed and bounded uncertainty set; we naturally assume that the plant does not have a zero at z = 1. We carry out parameter estimation for a slightly modified plant; indeed, we cover the set of admissible parameters by a finite set of compact and convex sets, and use an original-projection-algorithm based estimator for each. At each point in time, a switching algorithm is used to determine which estimates are used in the pole-placementbased controller; our approach does not assume that the switching stops at any point in time. We prove that this adaptive controller guarantees desirable linear-like closed-loop behavior (exponential stability and a bounded noise gain), as well as asymptotic tracking when the noise is constant. |
Databáze: | OpenAIRE |
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