TY - GEN
T1 - On the LPV control design and its applications to some classes of dynamical systems
AU - Blanchini, Franco
AU - Casagrande, Daniele
AU - Giordano, Giulia
AU - Miani, Stefano
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
KW - Actuator and sensor faults
KW - Control of saturated systems
KW - Linear parameter-varying (LPV) systems
KW - Time-delay systems
KW - Youla–Kucera parametrization
UR - http://www.scopus.com/inward/record.url?scp=84954097407&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-26687-9_15
DO - 10.1007/978-3-319-26687-9_15
M3 - Conference contribution
AN - SCOPUS:84954097407
SN - 9783319266855
VL - 464
T3 - Lecture Notes in Control and Information Sciences
SP - 319
EP - 338
BT - Developments in Model-Based Optimization and Control
PB - Springer
ER -