Discrete-time minimal control synthesis adaptive algorithm

This article proposes a discrete-time Minimal Control Synthesis (MCS) algorithm for a class of single-input single-output discrete-time systems written in controllable canonical form. As it happens with the continuous-time MCS strategy, the algorithm arises from the family of hyperstability-based di...

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Bibliographic Details
Published in:International journal of control Vol. 83; no. 12; pp. 2641 - 2657
Main Authors: di Bernardo†, M., di Gennaro, F., Olm, J.M., Santini, S.
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis Group 01.12.2010
Taylor & Francis
Taylor & Francis Ltd
Subjects:
Adaptative systems
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
discrete-time
Exact sciences and technology
minimal control synthesis
model reference adaptive control
Studies
Control robustness
Slow variation
Control program
Control synthesis
Continuous time
Adaptive control
Canonical form
Hyperstability
Reference model
Asymptotic stability
Minimum time
minimal control synthesis
Uncertain system
Continuous control
Model reference adaptive control systems
Discrete time
SISO system
discrete-time
model reference adaptive control
Formal verification
ISSN:0020-7179, 1366-5820
Online Access:Get full text
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Summary:This article proposes a discrete-time Minimal Control Synthesis (MCS) algorithm for a class of single-input single-output discrete-time systems written in controllable canonical form. As it happens with the continuous-time MCS strategy, the algorithm arises from the family of hyperstability-based discrete-time model reference adaptive controllers introduced in (Landau, Y. (1979), Adaptive Control: The Model Reference Approach, New York: Marcel Dekker, Inc.) and is able to ensure tracking of the states of a given reference model with minimal knowledge about the plant. The control design shows robustness to parameter uncertainties, slow parameter variation and matched disturbances. Furthermore, it is proved that the proposed discrete-time MCS algorithm can be used to control discretised continuous-time plants with the same performance features. Contrary to previous discrete-time implementations of the continuous-time MCS algorithm, here a formal proof of asymptotic stability is given for generic n-dimensional plants in controllable canonical form. The theoretical approach is validated by means of simulation results.
Bibliography:SourceType-Scholarly Journals-1
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ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2010.536916