TY - JOUR
T1 - Improving sector-based results for systems with dead-zone nonlinearities and constrained control applications
AU - Turner, Matthew
AU - Herrmann, Guido
AU - Postlethwaite, Ian
PY - 2009/1
Y1 - 2009/1
N2 - Despite the well-known conservatism of sector-based results for systems consisting of an interconnection of a linear-time-invariant (LTI) system and a static, sector-bounded nonlinearity, they are widely used in control system analysis and synthesis. This paper shows how, when the sector-bounded nonlinearity is a dead-zone, standard sector based results can be modified to allow the synthesis of a nonlinear controller which can deliver improved performance over standard results. The appealing feature of the method is that, as the main part of the design proceeds using standard sector results, the computation associated with the improved controller is essentially the same as with the standard controller.
AB - Despite the well-known conservatism of sector-based results for systems consisting of an interconnection of a linear-time-invariant (LTI) system and a static, sector-bounded nonlinearity, they are widely used in control system analysis and synthesis. This paper shows how, when the sector-bounded nonlinearity is a dead-zone, standard sector based results can be modified to allow the synthesis of a nonlinear controller which can deliver improved performance over standard results. The appealing feature of the method is that, as the main part of the design proceeds using standard sector results, the computation associated with the improved controller is essentially the same as with the standard controller.
U2 - 10.1016/j.automatica.2008.05.031
DO - 10.1016/j.automatica.2008.05.031
M3 - Article
SN - 0005-1098
VL - 45
SP - 155
EP - 160
JO - Automatica
JF - Automatica
IS - 1
ER -