Unknown Inputs Estimation in Linear Time-Delay Systems Using Generalized Functional Observers
Description
This book investigates the design of unknown input observers to asymptotically estimate unknown inputs of a broad class of dynamical systems, including systems with multiple time delays in both state and output vectors. The analysis is advanced by the introduction of generalized functionals, which provide a powerful framework for handling time-delay systems. This book presents recent advances alongside fundamental theory, offering researchers a valuable resource to understand the essential concepts and to explore state-of-the-art developments in unknown input and generalized functional estimation. It serves as a useful reference for researchers and postgraduate students working in control systems and can also support specialized senior undergraduate courses in control engineering and applied mathematics with a research focus.
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Persons
Hieu Trinh is Professor of Electrical Engineering at Deakin University, Australia. Van Thanh Huynh and Samson Yu are Senior Lecturers in Mechatronics and Electrical Engineering at Deakin University. Tyrone Fernando is Professor of Electrical Engineering at the University of Western Australia. Their research interests include system dynamics, estimation, and control.
Content
Background, Motivations, Preliminaries and Organization of the Book.- Unknown Input Observers Design - Single Unknown Input Case.- Estimation of an Unknown Input in the Presence of Multiple Unknown Inputs.- Unknown Input Observers Design for Time-Delay Systems.- Unknown Input Observers Design: A Time Delay in both State and Output Vectors.- Unknown Input Observers Design using only Delayed Output Vector.- Unknown Input Observers Design: An Expanded Dimensional Approach.- Unknown Input Observers: Two Non-commensurate Delays in State and Output Vectors.- Multiple Unknown Inputs: Time Delays in State and Output Vectors.- Design of Functional Observers for Time-Delay Systems.- Observers for Systems with a Time Delay in State and Output Vectors.- Observers for Systems with Multiple Delays in State and Output Vectors.- Instantaneous and Delayed Functional Estimation of Time-delay Systems.- Dynamic Output Feedback Controllers for Time-delay Systems.- Generalized Observers - Multiple Delays in State and Output Vectors.- Further Discussions on Generalized Functional Observers.- Generalized Observers: Two Non-commensurate Time Delays.- Generalized Observers for Time-Delay Systems with Unknown Inputs.- Generalized Observers - mixed Non-commensurate Delays.- Stabilization of Time-Delay Systems - A Linear Matrix Inequalities Approach.