Tp-model Transformation-based-control Design Frameworks
by Péter Baranyi /
2016 / English / PDF
8.7 MB Download
This book covers new aspects and frameworks of control, design, and
optimization based on the TP model transformation and its various
extensions. The author outlines the three main steps of
polytopic and LMI based control design: 1) development of the qLPV
state-space model, 2) generation of the polytopic model; and 3)
application of LMI to derive controller and observer. He goes on to
describe why literature has extensively studied LMI design,
but has not focused much on the second step, in part because the
generation and manipulation of the polytopic form was not tractable
in many cases. The author then shows how the TP model
transformation facilitates this second step and hence reveals new
directions, leading to powerful design procedures and the
formulation of new questions. The chapters of this book, and the
complex dynamical control tasks which they cover, are organized so
as to present and analyze the beneficial aspect of the family of
approaches (control, design, and optimization). Additionally, the
book aims to convey simple TP modeling; a new convex hull
manipulation based possibilities for optimization; a general
framework for stability analysis; standardized modeling and system
description; relaxed and universal LMI based design framework; and
a gateway to time-delayed systems.
This book covers new aspects and frameworks of control, design, and
optimization based on the TP model transformation and its various
extensions. The author outlines the three main steps of
polytopic and LMI based control design: 1) development of the qLPV
state-space model, 2) generation of the polytopic model; and 3)
application of LMI to derive controller and observer. He goes on to
describe why literature has extensively studied LMI design,
but has not focused much on the second step, in part because the
generation and manipulation of the polytopic form was not tractable
in many cases. The author then shows how the TP model
transformation facilitates this second step and hence reveals new
directions, leading to powerful design procedures and the
formulation of new questions. The chapters of this book, and the
complex dynamical control tasks which they cover, are organized so
as to present and analyze the beneficial aspect of the family of
approaches (control, design, and optimization). Additionally, the
book aims to convey simple TP modeling; a new convex hull
manipulation based possibilities for optimization; a general
framework for stability analysis; standardized modeling and system
description; relaxed and universal LMI based design framework; and
a gateway to time-delayed systems.
