LPV control for LPV systems: A vertex design approach
DOI:
https://doi.org/10.66131/JDSC12202649%20-%2061Keywords:
LPV Systems, LPV Control, LMI, Linear Quadratic Regulator, Vertex designAbstract
The closed-loop Quadratic Stability (QS) and performance of a Linear Parametric time-Varying (LPV) control applied to an LPV
system are analyzed. The LPV control interpolates static state feedbacks designed for the system’s polytopic vertices, and the
performance of the LPV control applied to the LPV system is analyzed by solving Linear Matrix Inequalities (LMI). A linear
quadratic criterion and a norm 2 guaranteed index performance are considered. An estimate of the interpolating parameters is
proposed, based on the distance between the operating point and the vertices. In particular, QS stability and performance are
analyzed at a .central" point of the polypotic of the LPV system. It is shown that under certain given conditions, the feedback
LPV system, its stability, and behaviors simplify at this point. The relations between the stability and performance of controllers
applied to the polytopic vertices of the system and the LPV control applied to the LPV system are highlighted.
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