Output-feedback I&I adaptive control for linear systems with time-varying parameters
File(s) CDC_2019_final_2.pdf (175.2 KB)
Accepted version
Author(s)
Chen, Kaiwen
Astolfi, Alessandro
Type
Conference Paper
Abstract
This paper combines the so-called congelation of variables method with the adaptive immersion and invariance (I&I) approach to control linear single-input-single-output systems with time-varying parameters via output feedback. The system is first reparameterized using a pair of reduced-order filters and the reparameterization error dynamics show that the input is coupled with a time-varying perturbation. By exploiting the input-to-state stability (ISS) of the inverse dynamics, which is regarded as a counterpart in the time-varying setting of the classical minimum-phase property, the coupling between the input and the time-varying perturbation is transformed into a coupling between the output and another time-varying perturbation that can be dominated in the controller design stage. A pair of high-gain filters are then implemented so that the reparameterization error dynamics are ISS. Finally, output regulation is achieved by strengthened damping design, which invokes a small-gain-like argument from a Lyapunov perspective.
Date Issued
2020-03-12
Date Acceptance
2020-03-01
Citation
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2020, pp.1965-1970
ISSN
0743-1546
Publisher
IEEE
Start Page
1965
End Page
1970
Journal / Book Title
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC)
Copyright Statement
© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000560779001136&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Source
58th IEEE Conference on Decision and Control (CDC)
Subjects
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Publication Status
Published
Start Date
2019-12-11
Finish Date
2019-12-13
Coverage Spatial
Nice, FRANCE
Date Publish Online
2020-03-12
