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On the LPV control design and its applications to some classes of dynamical systems

Blanchini, Franco; Casagrande, Daniele; Giordano, Giulia LU and Miani, Stefano (2015) In Lecture Notes in Control and Information Sciences 464. p.319-338
Abstract

In this chapter, a control design approach based on linear parametervarying (LPV) systems, which can be exploited to solve several problems typically encountered in control engineering, is presented. By means of recent techniques based on Youla–Kucera parametrization, it is shown how it is possible not only to design and optimize stabilizing controllers, but also to exploit the structure of the Youla–Kucera parametrized controller to face and solve side problems, including: (a) dealing with nonlinearities; (b) taking into account control input constraints; (c) performing controller commutation or online adaptation, e.g., in the presence of faults; and (d) dealing with delays in the system. The control scheme is observerbased, namely a... (More)

In this chapter, a control design approach based on linear parametervarying (LPV) systems, which can be exploited to solve several problems typically encountered in control engineering, is presented. By means of recent techniques based on Youla–Kucera parametrization, it is shown how it is possible not only to design and optimize stabilizing controllers, but also to exploit the structure of the Youla–Kucera parametrized controller to face and solve side problems, including: (a) dealing with nonlinearities; (b) taking into account control input constraints; (c) performing controller commutation or online adaptation, e.g., in the presence of faults; and (d) dealing with delays in the system. The control scheme is observerbased, namely a prestabilizing observer-based precompensator is applied. Consequently, a Youla–Kucera parameter is applied to produce a supplementary input ignition, which is a function of the residual value (the difference between the output and the estimated output). Based on the fact that any stable operator which maps the residual to the supplementary input preserves stability, several additional features can be added to the compensator, without compromising the loop stability.

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author
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Actuator and sensor faults, Control of saturated systems, Linear parameter-varying (LPV) systems, Time-delay systems, Youla–Kucera parametrization
in
Lecture Notes in Control and Information Sciences
volume
464
pages
20 pages
publisher
Springer Verlag
external identifiers
  • Scopus:84954097407
ISSN
01708643
ISBN
9783319266855
DOI
10.1007/978-3-319-26687-9_15
language
English
LU publication?
no
id
e52bba6b-9fd7-4139-8e0a-339162f45c8d
date added to LUP
2016-07-06 15:20:11
date last changed
2016-10-05 08:43:54
@misc{e52bba6b-9fd7-4139-8e0a-339162f45c8d,
  abstract     = {<p>In this chapter, a control design approach based on linear parametervarying (LPV) systems, which can be exploited to solve several problems typically encountered in control engineering, is presented. By means of recent techniques based on Youla–Kucera parametrization, it is shown how it is possible not only to design and optimize stabilizing controllers, but also to exploit the structure of the Youla–Kucera parametrized controller to face and solve side problems, including: (a) dealing with nonlinearities; (b) taking into account control input constraints; (c) performing controller commutation or online adaptation, e.g., in the presence of faults; and (d) dealing with delays in the system. The control scheme is observerbased, namely a prestabilizing observer-based precompensator is applied. Consequently, a Youla–Kucera parameter is applied to produce a supplementary input ignition, which is a function of the residual value (the difference between the output and the estimated output). Based on the fact that any stable operator which maps the residual to the supplementary input preserves stability, several additional features can be added to the compensator, without compromising the loop stability.</p>},
  author       = {Blanchini, Franco and Casagrande, Daniele and Giordano, Giulia and Miani, Stefano},
  isbn         = {9783319266855},
  issn         = {01708643},
  keyword      = {Actuator and sensor faults,Control of saturated systems,Linear parameter-varying (LPV) systems,Time-delay systems,Youla–Kucera parametrization},
  language     = {eng},
  pages        = {319--338},
  publisher    = {ARRAY(0xa4e6ac0)},
  series       = {Lecture Notes in Control and Information Sciences},
  title        = {On the LPV control design and its applications to some classes of dynamical systems},
  url          = {http://dx.doi.org/10.1007/978-3-319-26687-9_15},
  volume       = {464},
  year         = {2015},
}