This book is a collection of contributions defining the state of current knowledge and new trends in hybrid systems – systems involving both continuous dynamics and discrete events – as described by the work of several well-known groups of researchers.
Hybrid Dynamical Systems presents theoretical advances in such areas as diagnosability, observability and stabilization for various classes of system. Continuous and discrete state estimation and self-triggering control of nonlinear systems are advanced. The text employs various methods, among them, high-order sliding modes, Takagi–Sugeno representation and sampled-data switching to achieve its ends.
The many applications of hybrid systems from power converters to computer science are not forgotten; studies of flexible-joint robotic arms and – as representative biological systems – the behaviour of the human heart and vasculature, demonstrate the wide-ranging practical significance of control in hybrid systems. The cross-disciplinary origins of study in hybrid systems are evident.
Academic researchers and graduate students interested in hybrid and switched systems need look no further than Hybrid Dynamical Systems for a single source which will bring them up to date with work in this area from around the world.
Author(s): Mohamed Djemai, Michael Defoort (eds.)
Series: Lecture Notes in Control and Information Sciences 457
Edition: 1
Publisher: Springer International Publishing
Year: 2015
Language: English
Pages: 332
Tags: Control; Systems Theory, Control; Special Purpose and Application-Based Systems; Robotics and Automation; Mathematical and Computational Biology
Front Matter....Pages i-xvii
Hybrid Systems and Verification by Abstraction....Pages 1-25
Observer Design for Discrete-Time Switching Nonlinear Models....Pages 27-58
Realization Theory of Linear Hybrid Systems....Pages 59-101
Nonlinear Observer for Autonomous Switching Systems with Jumps....Pages 103-128
On the Observation Analysis and Observer Design for a Class of Hybrid Continuous-Discrete Dynamic System....Pages 129-149
State Estimation on Switching Systems via High-Order Sliding Modes....Pages 151-178
Observer Design for Switched Linear Systems with State Jumps....Pages 179-203
Observability of Switched Linear Systems....Pages 205-240
Sampled-Data Control of Switched Affine Systems....Pages 241-259
Continuous–Discrete-Time Observers for a Class of Uniformly Observable Systems....Pages 261-275
Self-Triggered Robust Control of Nonlinear Stochastic Systems....Pages 277-292
Multicellular Converter: A Benchmark for Control and Observation for Hybrid Dynamical Systems....Pages 293-313
Application of Hybrid Dynamical Theory to the Cardiovascular System....Pages 315-328
Back Matter....Pages 329-332
