Piecewise Affine Control Continuous Time Sampled Data And Networked Systems
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Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems
Engineering systems operate through actuators, most of which will exhibit phenomena such as saturation or zones of no operation, commonly known as dead zones. These are examples of piecewise-affine characteristics, and they can have a considerable impact on the stability and performance of engineering systems. This book targets controller design for piecewise affine systems, fulfilling both stability and performance requirements. The authors present a unified computational methodology for the analysis and synthesis of piecewise affine controllers, taking an approach that is capable of handling sliding modes, sampled-data, and networked systems. They introduce algorithms that will be applicable to nonlinear systems approximated by piecewise affine systems, and they feature several examples from areas such as switching electronic circuits, autonomous vehicles, neural networks, and aerospace applications. Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems is intended for graduate students, advanced senior undergraduate students, and researchers in academia and industry. It is also appropriate for engineers working on applications where switched linear and affine models are important.
Design of Delay-Based Controllers for Linear Time-Invariant Systems
This book provides the mathematical foundations needed for designing practical controllers for linear time-invariant systems. The authors accomplish this by incorporating intentional time delays into measurements with the goal of achieving anticipation capabilities, reduction in noise sensitivity, and a fast response. The benefits of these types of delay-based controllers have long been recognized, but designing them based on an analytical approach became possible only recently. Design of Delay-Based Controllers for Linear Time-Invariant Systems provides a thorough survey of the field and the details of the analytical approaches needed to design delay-based controllers. In addition, readers will find accessible mathematical tools and self-contained proofs for rigorous analysis, numerous examples and comprehensive computational algorithms to motivate the results, and experiments on single-input single-output systems and multi-agent systems using real-world control applications to illustrate the benefits of intentionally inducing delays in control loops. This book is intended for control engineers in various disciplines, including electrical, mechanical, and mechatronics engineering. It offers valuable insights for graduate students, researchers, and professionals working in industry.
Robust Adaptive Control
This book presents a solution to a problem in adaptive control design that had been open for 40 years: robustification to disturbances without compromising asymptotic performance. This original methodology builds on foundational ideas, such as the use of a deadzone in the update law and nonlinear damping in the controller, and advances the tools for and the theory behind designing robust adaptive controllers, thus guaranteeing robustness properties stronger than previously achieved. The authors present all stability notions, old and new, that are useful in adaptive control, provide numerous examples, and contrast their analysis to landmark approaches to robustification of adaptive controllers in prior literature. This book develops the Deadzone-Adapted Disturbance Suppression (DADS) control, a novel adaptive control method, and constructs a novel robust identifier that can work in parallel with every direct adaptive controller (not only DADS); it presents a wing rock instability application of DADS and provides ideas for the extension of DADS to cases not studied in the book. Robust Adaptive Control: Deadzone-Adapted Disturbance Suppression will be of interest to mathematicians working on feedback control and stability theory and to control engineers. Physicists tackling control problems and biologists with an interest in controlling population dynamics will also find it of interest.