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Hybrid Feedback Control

Ricardo G. Sanfelice

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

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.

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Schlagwörter

Compact space, Derivative, Dimensional analysis, Algorithm, Differentiable function, Logical disjunction, Linearization, Parameter, State space, Special case, Initial value problem, Passivity (engineering), Differential inclusion, Subset, Identity function, Bounded set (topological vector space), Liveness, Nonlinear system, Equilibrium point, Lebesgue measure, State variable, Barrier function, Lyapunov function, Piecewise, Diagram (category theory), Monotonic function, Pointwise, Attractor, Linear temporal logic, Upper and lower bounds, Invariance principle (linguistics), Discretization, Angular velocity, Perturbation function, LTI system theory, Lipschitz continuity, A0, Optimal control, Continuous function, Hybrid automaton, Coefficient of restitution, Obstacle avoidance, Semi-continuity, Temporal logic, Control theory, Robust control, Boundary value problem, Theorem, Measurement, Quantity, Stability theory, Classical control theory, Simulation, Observability, Initial condition, Discrete time and continuous time, Hybrid system, Computation, Isolated point, Variable (mathematics), Lyapunov stability, Supervisory control, Time domain, Timer, Zero-order hold, Harmonic oscillator, Double integrator, Differential equation, Norm (mathematics), Implementation