Read more
This book presents a collection of exercises on dynamical systems, modelling and control. Each topic covered includes a summary of the theoretical background, problems with solutions, and further exercises.
Topics covered include: block diagram algebra and system transfer functions; mathematical models; analysis of continuous systems in the time domain; root locus analysis; frequency domain analysis; PID controller synthesis; state space analysis of continuous systems; controller synthesis by pole placement; discrete time systems and the Z transform; analysis of non-linear systems with the describing function method; analysis of nonlinear systems with the phase plane method; and fractional order systems and controllers.
Based on tried-and-tested problems and solutions that the authors use in teaching over 500 students each year, this book is essential reading for advanced students with courses in modelling and control in engineering, applied mathematics, biomathematics and physics.
List of contents
- Chapter 1: Block diagram algebra and system transfer functions
- Chapter 2: Mathematical models
- Chapter 3: Analysis of continuous systems in the time domain
- Chapter 4: Root-locus analysis
- Chapter 5: Frequency domain analysis
- Chapter 6: PID controller synthesis
- Chapter 7: State space analysis of continuous systems
- Chapter 8: Controller synthesis by pole placement
- Chapter 9: Discrete-time systems and Z-transform
- Chapter 10: Analysis of nonlinear systems with the describing function method
- Chapter 11: Analysis of nonlinear systems with the phase plane method
- Chapter 12: Fractional order systems and controllers
About the author
J. Tenreiro-Machado is a Coordinator Professor with Habilitation at the Polytechnic Institute of Porto, Portugal, where his research interests are in the areas of fractional-order systems, complex systems, nonlinear dynamics, modelling, control, evolutionary computing, signal processing, finance and economy mathematical analysis, biology, and robotics.
Summary
This book presents a collection of exercises on dynamical systems, modelling and control. Each topic covered includes a summary of the theoretical background, problems with solutions, and further exercises.
