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Solved Problems in Dynamical Systems and Control

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Publication Year: 2016

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.

Inspec keywords: state-space methods; continuous systems; three-term control; transfer functions; pole assignment; nonlinear control systems; mathematical analysis; algebra; discrete time systems; describing functions

Other keywords: mathematical models; PID controller synthesis; block diagram algebra; nonlinear systems; dynamical systems; pole placement; root-locus analysis; fractional order systems; system transfer functions; continuous systems; describing function; state space analysis; frequency domain analysis; transform; time domain; discrete-time systems; phase plane method

Subjects: Discrete control systems; General and management topics; Algebra; Mathematical analysis; Control system analysis and synthesis methods; Nonlinear control systems

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