Essentials of digital control systems

To succinctly grasp the range of tools necessary for the analysis and design of digital control, this book is divided into five chapters. The first chapter is dedicated to introducing basic concepts such as sampling, the z-Transform of a sampled signal, signal reconstruction using holders, and the inverse z-Transform. In the second chapter, we define the transfer function of a sampled system and calculate this function for various block diagrams with different configurations. The third chapter is focused on the analysis of the stability and precision of a sampled control system. In the fourth chapter, we propose two types of digital controllers: discretization of an analog controller and deadbeat digital controller. The fifth chapter offers about ten examples of implementing digital controllers, using the various concepts introduced in the first chapters. Additionally, MATLAB scripts are used to validate the various results established therein. This book also includes additional exercises and appendices summarizing complementary concepts.