With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms.
This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics.
Describes the fundamental objectives and principles behind anti-windup synthesis for control systems with actuator saturation
Takes a modern, state-space approach to synthesis that applies to both SISO and MIMO systems
Presents algorithms as linear matrix inequalities that can be readily solved with widely available software
Explains mathematical concepts that motivate synthesis algorithms
Uses nonlinear performance curves to quantify performance relative to disturbances of varying magnitudes
Includes anti-windup algorithms for a class of Euler-Lagrange nonlinear systems
Traces the history of anti-windup research through an extensive annotated bibliography