Optimal Control Of A Double Integrator: A Primer On Maximum Principle (studies In Systems, Decision And Control)
by Arturo Locatelli /
2016 / English / PDF
6.5 MB Download
This book provides an introductory yet rigorous treatment of
Pontryagin’s Maximum Principle and its application to optimal
control problems when simple and complex constraints act on state
and control variables, the two classes of variable in such
problems. The achievements resulting from first-order variational
methods are illustrated with reference to a large number of
problems that, almost universally, relate to a particular
second-order, linear and time-invariant dynamical system,
referred to as the double integrator. The book is ideal for
students who have some knowledge of the basics of system and
control theory and possess the calculus background typically
taught in undergraduate curricula in engineering.
This book provides an introductory yet rigorous treatment of
Pontryagin’s Maximum Principle and its application to optimal
control problems when simple and complex constraints act on state
and control variables, the two classes of variable in such
problems. The achievements resulting from first-order variational
methods are illustrated with reference to a large number of
problems that, almost universally, relate to a particular
second-order, linear and time-invariant dynamical system,
referred to as the double integrator. The book is ideal for
students who have some knowledge of the basics of system and
control theory and possess the calculus background typically
taught in undergraduate curricula in engineering.
Optimal control theory, of which the Maximum Principle must be
considered a cornerstone, has been very popular ever since the
late 1950s. However, the possibly excessive initial enthusiasm
engendered by its perceived capability to solve any kind of
problem gave way to its equally unjustified rejection when it
came to be considered as a purely abstract concept with no real
utility. In recent years it has been recognized that the truth
lies somewhere between these two extremes, and optimal control
has found its (appropriate yet limited) place within any
curriculum in which system and control theory plays a significant
role.
Optimal control theory, of which the Maximum Principle must be
considered a cornerstone, has been very popular ever since the
late 1950s. However, the possibly excessive initial enthusiasm
engendered by its perceived capability to solve any kind of
problem gave way to its equally unjustified rejection when it
came to be considered as a purely abstract concept with no real
utility. In recent years it has been recognized that the truth
lies somewhere between these two extremes, and optimal control
has found its (appropriate yet limited) place within any
curriculum in which system and control theory plays a significant
role.
