Linear and Non-Linear System Theory

Linear and Non-Linear System Theory focuses on the basics of linear and non-linear systems, optimal control and optimal estimation with an objective to understand the basics of state space approach linear and non-linear systems and its analysis thereof. Divided into eight chapters, materials cover an introduction to the advanced topics in the field of linear and non-linear systems, optimal control and estimation supported by mathematical tools, detailed case studies and numerical and exercise problems. This book is aimed at senior undergraduate and graduate students in electrical, instrumentation, electronics, chemical, control engineering and other allied branches of engineering. Features - Covers both linear and non-linear system theory - Explores state feedback control and state estimator concepts - Discusses non-linear systems and phase plane analysis - Includes non-linear system stability and bifurcation behaviour - Elaborates optimal control and estimation

T. Thyagarajan is a Professor in the Department of Instrumentation Engineering at MIT Campus, Anna University. He earned a PhD in intelligent control at Anna University. With a National Science Council Fellowship, he pursued postdoctoral research at NTU, Taiwan. He is an erudite professor and a socially conscious researcher and has been engaged in teaching, research and administration for 33 years. He has published over 105 research papers, authored/coauthored 3 textbooks, guided 14 PhD scholars, coordinated R&D funding worth Rs 15.5 crores through various funding agencies. He made technical visits to the United States, Europe, Southeast Asia and the Middle East. He received 13 awards, including DTE award for guiding the best BE project, Sisir Kumar Award for publishing the best research paper, 2 best paper awards in IEEE International Conferences, Best Teacher award and Best Researcher award. He is a Senior Member of IEEE. His current teaching and research interests include process modelling and control, autotuning, applied soft computing and healthcare instrumentation. D. Kalpana is an Assistant Professor of instrumentation engineering at MIT Campus, Anna University. She earned a BE (EIE), an ME (instrumentation engineering), and a PhD at Anna University. She received a Young Scientist Fellowship from Tamilnadu State Council for Science and Technology and pursued postdoctoral research work at NIT, Warangal. She has been engaged in teaching and research for 14 years. She has received the Dr A.P.J. Abdul Kalam Award for her contribution to teaching. She has published 25 papers in peer-reviewed journals and conference proceedings. She is a member of ISA. Her teaching and research interests include linear and non-linear system theory, auto-tuning, modelling and control of industrial processes and applied soft computing.

1. Introduction 2. State Space Approach 3. State Feedback Control and State Estimator 4. Non-Linear Systems and Phase Plane Analysis 5. Stability of Non-Linear Systems 6. Bifurcation Behaviour of Non-Linear Systems 7. Optimal Control 8. Optimal Estimation