NDLI: Order reduction of n for robust adaptive control design of SISO linear systems

Content Provider	IEEE Xplore Digital Library
Author	Qingrong Zhao Zigang Pan
Copyright Year	2005
Description	Author affiliation: Dept. of Electr. & Comput. Eng. & Comput. Sci., Cincinnati Univ., OH, USA (Qingrong Zhao; Zigang Pan)
Abstract	In this paper, we propose an order-reduction design methodology to simplify the adaptive controller obtained in Z. Pan and T. Basar (2000) by n integrators. We study the same class of linear systems as Z. Pan and T. Basar (2000), make the same assumptions, and have the same formulation and approach to the problem. The main difference between our design methodology and that of Pan and T. Basar (2000) lies in the step O of the control design step. In this paper, we skip step O and immediately start the integrator backstepping procedure without stabilizing the filtered dynamics of the output. This relieves us from generating the reference trajectory for the filtered dynamics of the output and thus reducing the controller order by n. The trade-off for this order reduction Ls that the worst-case estimate for the expanded state vector has to be chosen as a suboptimal choice, rather than the optimal choice. Exactly the same robustness properties can be established for the reduced-order controllers as those of Z. Pan and T. Basar (2000). There is no definite performance comparison that can be made theoretically between the reduced-order controller and the full-order controller of Z. Pan and T. Basar (2000). Based on a few simulation examples, we observe that the reduced-order controller does not perform better than the full-order controller.
Sponsorship	American Automatic Control Council
Starting Page	3133
Ending Page	3138
File Size	355963
Page Count	6
File Format	PDF
ISBN	0780390989
ISSN	07431619
e-ISBN	0780390997
DOI	10.1109/ACC.2005.1470453
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-06-08
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Robust control Adaptive control Linear systems Design methodology Control systems Backstepping Optimal control Programmable control Control design Parameter estimation
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in