Hybrid Feedback Control

**A comprehensive introduction to hybrid control systems and design** Hybrid control systems exhibit both discrete changes, or jumps, and continuous changes, or flow. An example of a hybrid control system is the automatic control of the temperature in a room: the temperature changes continuously, but the control algorithm toggles the heater on or off intermittently, triggering a discrete jump within the algorithm. Hybrid control systems feature widely across disciplines, including biology, computer science, and engineering, and examples range from the control of cellular responses to self-driving cars. Although classical control theory provides powerful tools for analyzing systems that exhibit either flow or jumps, it is ill-equipped to handle hybrid control systems. In __Hybrid Feedback Control,__ Ricardo Sanfelice presents a self-contained introduction to hybrid control systems and develops new tools for their analysis and design. Hybrid behavior can occur in one or more subsystems of a feedback system, and Sanfelice offers a unified control theory framework, filling an important gap in the control theory literature. In addition to the theoretical framework, he includes a plethora of examples and exercises, a Matlab toolbox (as well as two open-source versions), and an insightful overview at the beginning of each chapter. Relevant to dynamical systems theory, applied mathematics, and computer science, __Hybrid Feedback Control__ will be useful to students and researchers working on hybrid systems, cyber-physical systems, control, and automation. "Hybrid systems are those that-unlike classical systems-exhibit both discrete changes, or "jumps", and continuous changes, or "flow." The canonical example of a hybrid system is a bouncing ball: the ball's speed changes continuously between bounces, but there is a discrete jump in velocity each time the ball impacts the ground. Hybrid systems feature widely across disciplines, including in biology, computer science, and mechanical engineering; examples range from fireflies to self-driving cars. Although classical control theory provides powerful tools for analyzing systems that exhibit either flow or jumps, it is ill-equipped to handle hybrid systems, which feature both behaviors. In Hybrid Feedback Control, Ricardo Sanfelice presents a self-contained introduction to the control of hybrid systems, and develops new tools for their design and analysis. This monograph uses hybrid systems notation to present a new, unified control theory framework, thus filling an important gap in the control theory literature. In addition to presenting this theoretical framework, the book also includes a variety of examples and exercises, a Matlab toolbox, and a summary at the beginning of each chapter. The book was originally used in a series of lectures on the topic, and will find a modest amount of crossover course use. The book will also find use outside the field of control, particularly in dynamical systems theory, applied mathematics, and computer science"-- Provided by publisher j.ctv131btfx.1 j.ctv131btfx.2 j.ctv131btfx.3 j.ctv131btfx.4 j.ctv131btfx.5 j.ctv131btfx.6 j.ctv131btfx.7 j.ctv131btfx.8 j.ctv131btfx.9 j.ctv131btfx.10 j.ctv131btfx.11 j.ctv131btfx.12 j.ctv131btfx.13 j.ctv131btfx.14 j.ctv131btfx.15 j.ctv131btfx.16 j.ctv131btfx.17 j.ctv131btfx.18 j.ctv131btfx.19 j.ctv131btfx.20