On robust adaptive control of switched linear systems

Conference Paper (2017)
Author(s)

Shuai Yuan (TU Delft - Mechanical Engineering)

Bart De Schutter (TU Delft - Mechanical Engineering)

Simone Baldi (TU Delft - Mechanical Engineering)

Research Group
Team Bart De Schutter
DOI related publication
https://doi.org/10.1109/ICCA.2017.8003154 Final published version
More Info
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Publication Year
2017
Language
English
Research Group
Team Bart De Schutter
Pages (from-to)
753-758
ISBN (print)
978-1-5386-2679-5
Event
ICCA 2017 13th International Conference on Control & Automation (2017-07-03 - 2017-07-06), Ohrid, Macedonia, The Former Yugoslav Republic of
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Abstract

This paper investigates robust adaptive control of uncertain switched linear systems considering disturbances. Two modifications of the adaptive law of switched linear systems [1] based on parameter projection and a leakage approach are developed to guarantee the stability of the closed-loop switched
linear system: a projection law that requires knowledge of the bounds of the parameter estimates; and a leakage law based on initial conditions of the parameter estimates that does not require knowledge of the bounds of the parameter estimates. The closed-loop switched linear system is shown to be
globally uniformly ultimately bounded. In addition, the ultimate bounds of both adaptive control schemes are also given. A numerical example is provided to illustrate the effectiveness of the proposed methods.