Solved Problems in Dynamical Systems and Control

Description

This book presents a collection of exercises on dynamical systems, modelling and control. Each topic covered includes a summary of the theoretical background and exercises with solved problems on fractional calculus and simple tools for nonlinear systems. Topics covered include: mathematical models; PID controller synthesis; controller synthesis by pole placement; fractional order systems and controllers and many others. This book is essential reading for advanced students with courses in modelling and control in engineering, applied mathematics, biomathematics and physics Content: Chapter 1: Block diagram algebra and system transfer functionsChapter 2: Mathematical modelsChapter 3: Analysis of continuous systems in the time domainChapter 4: Root-locus analysisChapter 5: Frequency domain analysisChapter 6: PID controller synthesisChapter 7: State space analysis of continuous systemsChapter 8: Controller synthesis by pole placementChapter 9: Discrete-time systems and Z-transformChapter 10: Analysis of nonlinear systems with the describing function methodChapter 11: Analysis of nonlinear systems with the phase plane methodChapter 12: Fractional order systems and controllers