TY - JOUR
T1 - Coprime factor based anti-windup synthesis for parameter-dependent systems
AU - Prempain, Emmanuel
AU - Turner, Matthew
AU - Postlethwaite, Ian
PY - 2009/12
Y1 - 2009/12
N2 - This paper presents a novel anti-windup compensator synthesis for linear parameter-varying (LPV) systems that have linear fractional transformation (LFT) representations. The LPV anti-windup synthesis is based on a right coprime factor description of the LPV plant to be controlled. It is shown that the anti-windup compensator synthesis reduces to solving a robust gain state-feedback control problem for the LPV/LFT system subject to input saturations. The synthesis takes advantage of unstructured multipliers (that is, multipliers that do not commute with the parameter structure) and exploits a detailed description of the parameter trajectory polytope. The anti-windup compensator is given in an explicit LPV/LFT form, sharing with the plant the same order and same parameter structure.
AB - This paper presents a novel anti-windup compensator synthesis for linear parameter-varying (LPV) systems that have linear fractional transformation (LFT) representations. The LPV anti-windup synthesis is based on a right coprime factor description of the LPV plant to be controlled. It is shown that the anti-windup compensator synthesis reduces to solving a robust gain state-feedback control problem for the LPV/LFT system subject to input saturations. The synthesis takes advantage of unstructured multipliers (that is, multipliers that do not commute with the parameter structure) and exploits a detailed description of the parameter trajectory polytope. The anti-windup compensator is given in an explicit LPV/LFT form, sharing with the plant the same order and same parameter structure.
KW - Gain-scheduled control
KW - LPV/LFT systems
KW - coprime factorizations
KW - L2L2 state-feedback synthesis
KW - anti-windup synthesis
U2 - 10.1016/j.sysconle.2009.09.002
DO - 10.1016/j.sysconle.2009.09.002
M3 - Article
VL - 58
SP - 810
EP - 817
JO - Systems and Control Letters
JF - Systems and Control Letters
SN - 0167-6911
IS - 12
ER -