Stability and Control of Nonlinear Time-varying Systems

This book presents special systems derived from industrial models, including the complex saturation nonlinear functions and the delay nonlinear functions. It also presents typical methods, such as the classical Liapunov and Integral Inequalities methods. Providing constructive qualitative and stability conditions for linear systems with saturated inputs in both global and local contexts, it offers practitioners more concise model systems for modern saturation nonlinear techniques, which have the potential for future applications. This book is a valuable guide for researchers and graduate students in the fields of mathematics, control, and engineering.

Provides important methods for saturation phenomena Presents stability problems of Lurie nonlinear systems with time-varying plant and time-varying actuators under time-varying delay feedback Develops a fuzzy state observer and fuzzy controller for an uncertain nonlinear system

Autorentext
Prof. Shuli Guo received his Ph.D. degree from the Department of Mechanics and Engineering Sciences, Peking University, in 2001. Currently, he is a professor at the School of Automation, Beijing Institute of Technology. His research interests include modeling and control of dynamic systems, nonlinear system control and stability, and coordination and control of multi-autonomous agents. He presided over a National Key R&D Program, a Ministry of Education 211-Plan and a Ministry of Education fund for returned overseas personnel. He has published more than 30 SCI indexed papers and 1 English textbook. He also holds 6 invention patents and 2 authorized utility model patents.

Dr. Lina Han received her Ph.D. degree from Jilin University in 2003. She later worked as a postdoctoral researcher at the Department of Laser Medicine, Chinese PLA General Hospital. She is currently an associate researcher at Department of Cardiovascular Internal Medicine, Nanlou Branch, Chinese PLA General Hospital. Her research focuses on the digital management of chronic diseases, including the establishment of health databases, remote health monitoring, and the collecting and sharing of health data. She has independently led 11 research projects, including the National Key R&D Program, and the Beijing Natural Science Fund. She has published numerous papers, 45 of which are indexed by SCI. She is also the editor-in-chief of an English book. She holds 6 national invention patents and 2 utility model patents.

Inhalt

Introduction.- Novel Mathematical Modeling and Stability Analysis of Linear Uncertain Systems Subject to Actuator Saturations.- Commuting Matrices, Equilibrium Points for Control Systems with Single Saturated Input.- Stability and Closed Trajectory for 2nd Order Control Systems with Single Saturated Input.- Equilibrium Points Analysis of 2nd Order Differential Systems with Single Saturated Input.- Stability Analysis for Lurie Nonlinear Systems with Time-varying Plant and Actuator under Time-varying Delay Feedback.- Several Stability Criteria on Differential Inclusions with Nonlinear Integral Delays.- Generalization of Integral Inequalities and (c1,c1) stability of Neutral Delay Differential Equations.- Several Integral Inequalities and Their Applications in Nonlinear Differential Systems.- Fuzzy Observer, Fuzzy Controller Design and Common Hurwitz Matrices Analysis for a class of Uncertain Nonlinear System.- The Three-stage Chaotic Communication System Based on The Unified Chaotic System.- Nonlinear Dynamic Model of 2K-H Planetary Gear Transmission System And Its Chaotic Characteristics.