Analysis and analytical synthesis of digital control systems. Monograph

The book is devoted to the presentation of methods of analysis and synthesis of digital control systems and their elements. Mathematical models are considered, as well as definitions and criteria of the basic properties of discrete objects and digital control systems, such as controllability, observability, completeness, stability and stability reserves. The definitions of time characteristics and methods of studying the quality of digital systems in transient and steady-state mode are given. Much attention is paid to the transformation and interrelation of models in state variables and "input-output" of digital systems. The possibility of losing information about an incomplete system during transformations of its input-output models is shown. Canonical forms of models in state variables and "input-output" are given, as well as relations that make it easy to move from one form of a mathematical model to another and vice versa. The final chapters of the book are devoted to methods of synthesis of digital systems of various types, including using modal control and the principle of output and impact control. It is shown that this principle opens up wider possibilities for giving control systems the required properties. The features of the synthesis by the analytical method of astatic, speed-optimal and selectively invariant digital control systems are described. The book is aimed at specialists, design institutes and bureaus engaged in the development of modern automation and control systems based on computer technology. It may well be used as a teaching aid in universities of various profiles that train specialists in management and automation.