ModelFree Plant Tuning
(2017) In IEEE Transactions on Automatic Control 62(6). p.26232634 Abstract
 Given a static plant described by a differentiable inputoutput function, which is completely unknown, but whose Jacobian takes values in a known polytope in the matrix space, this paper considers the problem of tuning (i.e., driving to a desired value) the output, by suitably choosing the input. It is shown that, if the polytope is robustly nonsingular (or has full rank, in the nonsquare case), then a suitable tuning scheme drives the output to the desired point. The proof exploits a Lyapunovlike function and applies a well known gametheoretic result, concerning the existence of a saddle point for a minmax zerosum game. When the plant output is represented in an implicit form, it is shown that the same result can be obtained,... (More)
 Given a static plant described by a differentiable inputoutput function, which is completely unknown, but whose Jacobian takes values in a known polytope in the matrix space, this paper considers the problem of tuning (i.e., driving to a desired value) the output, by suitably choosing the input. It is shown that, if the polytope is robustly nonsingular (or has full rank, in the nonsquare case), then a suitable tuning scheme drives the output to the desired point. The proof exploits a Lyapunovlike function and applies a well known gametheoretic result, concerning the existence of a saddle point for a minmax zerosum game. When the plant output is represented in an implicit form, it is shown that the same result can be obtained, resorting to a different Lyapunovlike function. The case in which proper input or output constraints must be enforced during the transient is considered as well. Some application examples are proposed to show the effectiveness of the approach. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/d60eb6a72fdf49e3a1a3e2f53c285795
 author
 Blanchini, F.; Fenu, G.; Giordano, Giulia ^{LU} and Pellegrino, F. A.
 organization
 publishing date
 2017
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Games, Generators, Jacobian matrices, Robustness, Steadystate, Transient analysis, Tuning
 in
 IEEE Transactions on Automatic Control
 volume
 62
 issue
 6
 pages
 12 pages
 publisher
 IEEEInstitute of Electrical and Electronics Engineers Inc.
 external identifiers

 scopus:85026770510
 wos:000402733600002
 ISSN
 00189286
 DOI
 10.1109/TAC.2016.2616025
 language
 English
 LU publication?
 yes
 id
 d60eb6a72fdf49e3a1a3e2f53c285795
 date added to LUP
 20161126 14:55:30
 date last changed
 20180513 04:26:19
@article{d60eb6a72fdf49e3a1a3e2f53c285795, abstract = {Given a static plant described by a differentiable inputoutput function, which is completely unknown, but whose Jacobian takes values in a known polytope in the matrix space, this paper considers the problem of tuning (i.e., driving to a desired value) the output, by suitably choosing the input. It is shown that, if the polytope is robustly nonsingular (or has full rank, in the nonsquare case), then a suitable tuning scheme drives the output to the desired point. The proof exploits a Lyapunovlike function and applies a well known gametheoretic result, concerning the existence of a saddle point for a minmax zerosum game. When the plant output is represented in an implicit form, it is shown that the same result can be obtained, resorting to a different Lyapunovlike function. The case in which proper input or output constraints must be enforced during the transient is considered as well. Some application examples are proposed to show the effectiveness of the approach.}, author = {Blanchini, F. and Fenu, G. and Giordano, Giulia and Pellegrino, F. A.}, issn = {00189286}, keyword = {Games,Generators,Jacobian matrices,Robustness,Steadystate,Transient analysis,Tuning}, language = {eng}, number = {6}, pages = {26232634}, publisher = {IEEEInstitute of Electrical and Electronics Engineers Inc.}, series = {IEEE Transactions on Automatic Control}, title = {ModelFree Plant Tuning}, url = {http://dx.doi.org/10.1109/TAC.2016.2616025}, volume = {62}, year = {2017}, }