Solved Problems in Dynamical Systems and Control

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.

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.

António M. Lopes is Assistant Professor at the University of Porto, Portugal, where his R&D interests are in the areas of complex systems, nonlinear dynamics, automation, robotics, control, fractional calculus and simulation.

Duarte Valério is Assistant Professor at Instituto Superior Técnico - University of Lisbon, where he works in the field of control engineering, studying fractional control and fractional dynamic systems, wave energy conversion, distributed systems and bioengineering applications.

Alexandra M. Galhano is a Coordinator Professor at the Polytechnic Institute of Porto, Portugal, where her research interests are in the areas of modelling, control, and simulation.