Tracking control of linear systems (Q2838297)

The book deals with finite-dimensional dynamical systems, involving the state variable, an input vector (e.g., a control) and an output vector (e.g., an observation). The possibility of a disturbance in the equation of the dynamics is also taken into account.NEWLINENEWLINEIn the first part of the book, classic fundamentals on control system theory are presented. From the used terminology, one may guess that the book is engineering/applications oriented. The author presents a compact and elegant notation to rewrite the general class of linear systems under consideration.NEWLINENEWLINEIn the second part of the book, the so-called \textit{full transfer function matrix}~\(F(s)\), defined for~\(s\) in the space of complex numbers, is presented. The matrix~\(F(s)\) is an extension of the transfer function matrix~\(G(s)\). Several concrete examples are given to illustrate the construction of~\(F(s)\), and to show the importance of such extension.NEWLINENEWLINEIn the third part of the book, the author presents the concepts of \textit{output tracking} and \textit{trackability}. Essentially, the goal is that the output follows, in a ``sufficiently precisely'' manner, a desired output behavior, using an appropriate control, if necessary.NEWLINENEWLINEThe fourth part of the book is concerned with tracking control synthesis, and the concluding fifth part contains further remarks and comments on the full transfer function matrix~\(F(s)\) and on the tracking and trackability concepts.