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Machines 2016, 4(1), 7; doi:10.3390/machines4010007

Algorithms for Optimal Model Distributions in Adaptive Switching Control Schemes

1
Laboratoire Ampere, Ecole Centrale de Lyon, 69130 Ecully, France
2
DCSC, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands
*
Author to whom correspondence should be addressed.
Academic Editor: David Mba
Received: 7 December 2015 / Revised: 22 February 2016 / Accepted: 29 February 2016 / Published: 4 March 2016
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Abstract

Several multiple model adaptive control architectures have been proposed in the literature. Despite many advances in theory, the crucial question of how to synthesize the pairs model/controller in a structurally optimal way is to a large extent not addressed. In particular, it is not clear how to place the pairs model/controller is such a way that the properties of the switching algorithm (e.g., number of switches, learning transient, final performance) are optimal with respect to some criteria. In this work, we focus on the so-called multi-model unfalsified adaptive supervisory switching control (MUASSC) scheme; we define a suitable structural optimality criterion and develop algorithms for synthesizing the pairs model/controller in such a way that they are optimal with respect to the structural optimality criterion we defined. The peculiarity of the proposed optimality criterion and algorithms is that the optimization is carried out so as to optimize the entire behavior of the adaptive algorithm, i.e., both the learning transient and the steady-state response. A comparison is made with respect to the model distribution of the robust multiple model adaptive control (RMMAC), where the optimization considers only the steady-state ideal response and neglects any learning transient. View Full-Text
Keywords: adaptive control; multiple model distribution adaptive control; multiple model distribution
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ghosh, D.; Baldi, S. Algorithms for Optimal Model Distributions in Adaptive Switching Control Schemes. Machines 2016, 4, 7.

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