Multivariable Control Engineering Problems and their Solutions with GNU Octave

This problem and solution-oriented textbook covers standard control engineering tasks as well as advanced modern control techniques. Throughout, students are provided examples of control engineering problems with step-by-step solutions. Each chapter addresses basic ideas, key control concepts, and definitions and provides a compilation of theoretical results used for the solution of the problems. The book is aimed not only at engineering students and practitioners but also computer science students and software engineers who, for instance, are working on the design of autonomous cars or with digital twins and need some knowledge of basic control concepts and advanced modern control techniques. The book addresses graduate students and readers in the overlap of engineering and computer science. The book aims to further their understanding of theoretical results learned in undergraduate control classes or in textbooks; the book shows them how to apply their knowledge in exercises to small problems and to see how some examples of problems can be solved. Whenever possible, the problems have been solved by means of the open-source software GNU Octave. In some cases, also the free open-source mathematical software Scilab has been used.

• Provides problems and solutions for standard control engineering tasks and advanced modern control techniques;
• Provides a collection of examples of control engineering problems with step-by-step solutions;
• Addresses control concepts and provides a compilation of theoretical results used for the solution of the problems.

Introduction.- Multiple Input Multiple Output Systems.- State Observability.- State Controllability.- Decomposition of an LTI system into subsystems.- Minimal State-Space Realisation of a Transfer Function Matrix.- Stability of Multivariable Systems.- Closed Loop Stability.- State Feedback.- Optimal control.- Robust Control.- Linear Convex Optimisation.- Conclusion.

Wolfgang Borutzky is a professor for Modelling and Simulation of Engineering Systems retired from Bonn-Rhein-Sieg University of Applied Sciences, Germany. He obtained his University Diploma Degree in Mathematics and his Doctoral Degree in Mechanical Engineering, both from the Technical University of Braunschweig, Germany. He held an honorary position as Associate Professor of Electrical Engineering and Information Technology at the University of Dubrovnik, Croatia. Dr. Borutzky has published in the proceedings of many peer-reviewed international conferences on Modelling and Simulation and in refereed scientific journals. In 2019 he received the best paper award of the 12th International Conference on Integrated Modelling and Analysis in Applied Control and Automation (IMAACA 2019) in Lisbon, Portugal, which is part of the annual International Multidisciplinary Modelling & Simulation Multiconference (I3M). He is the author of several Springer books on Bond Graph modelling, on control engineering, and on fault diagnosis and failure prognosis, has edited some Springer compilation texts and was also the guest editor of two special journal issues on Bond Graph modelling