This text is aimed at senior-level engineering students and can also used by graduate students and practising engineers whose experience has been limited to continuous-time theory and want to see how discrete-time systems are designed and/or have only seen classical design tools and want to learn modern state-space design. The increasing use of digital technology in control and signal processing increases the importance of analysis and synthesis tools for discrete-time sytems. The appropriate tool for studying state-space models of discrete-time systems is linear algebra. Although most students take a course in linear algebra, they are not usually exposed to advanced engineering applications in such a course. The material found in this text equips students to analyze and design discrete-time (digital) systems and shows how linear algebra and state-space system theory are used to design digital control systems.
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This text focuses on casting real-world continuous-time analog control problems into the discrete-time and digital domain. It is intended for an advanced undergraduate audience and assumes a background in signals and linear systems theory with some exposure to basic linear and matrix algebra. Digital Control includes topics such as eigenstructure assignment, stability and phase margins, state feedback regulators, observers, and tracking systems. The book also includes introductory chapters on the more advanced topics of multivariable control systems and optimal control. The text begins with an overview of linear algebra and matrix theory and proceeds to examine state-space and transfer function models of continuous-time and discrete-time systems. Several examples from electrical, mechanical, and aeronautical engineering give additional insight into issues presented in each chapter. This text emphasizes the application of the theory to real-world problems and, as such, is suitable for practicing engineers, students, or anyone who wants to implement control systems of modest complexity with a computer. A MATLAB toolbox written by the author is freely available to facilitate such projects.
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