Kurt Reinschke

The reader is enabled to use the mathematical tools of linear system theory for control engineering purposes. The focus is on the function-theoretical and algebraic relationships that enable trajectory control, the design of robust stabilizing controllers and the continuous-time handling of sampling control loops. Numerous examples illustrate the application of the general laws. When modeling controlled systems, the unavoidable uncertainties are taken into account. The work is now available in the second, completely revised and restructured version, which has been expanded in terms of content to include new research results on the design of open-loop and closed-loop control systems..

The author's main objective is to present a graph-theoretic approach to the analysis and synthesis of linear time-invariant control systems. Although all the relevant concepts of applied graph theory are introduced, the emphasis is on problems of controller synthesis: appropriate state enumeration in case of large-scale systems, structural controllability and observability, pole assignment under state feedback, disturbance rejection, noninteracting control, pole assignability by static output feedback, decentralized control and output feedback under structural constraints, and dynamic compensators. The book provides both original contributions and a comprehensive survey of the subject under consideration. Numerous examples and many figures are included to illustrate the material of the text. This research monograph is addressed to engineers engaged in control systems research and development, to graduate students specializing in control theory and to applied mathematicians interested in control problems.