Modern Anti-windup Synthesis (eBook)

Control Augmentation for Actuator Saturation

Luca Zaccarian, Andrew R. Teel (Autoren)

eBook Download: EPUB

2011
304 Seiten
Princeton University Press (Verlag)
978-1-4008-3902-5 (ISBN)

Infos

This book provides a wide variety of state-space--based numerical algorithms for the synthesis of feedback algorithms for linear systems with input saturation. Specifically, it addresses and solves the anti-windup problem, presenting the objectives and terminology of the problem, the mathematical tools behind anti-windup algorithms, and more than twenty algorithms for anti-windup synthesis, illustrated with examples. Luca Zaccarian and Andrew Teel's modern method--combining a state-space approach with algorithms generated by solving linear matrix inequalities--treats MIMO and SISO systems with equal ease. The book, aimed at control engineers as well as graduate students, ranges from very simple anti-windup construction to sophisticated anti-windup algorithms for nonlinear systems. 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

Autor

Luca Zaccarian is associate professor of control engineering at the University of Rome, Tor Vergata. Andrew R. Teel is a professor in the Electrical and Computer Engineering Department at the University of California, Santa Barbara.

Produkt-Details

• Erscheint lt. Verlag: 11.7.2011
• Reihe/Serie: Princeton Series in Applied Mathematics
• Reihe/Serie: Princeton Series in Applied Mathematics
• Zusatzinfo: 6 halftones. 135 line illus. 5 tables.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: Accuracy and precision • Actuator • Addition • Aircraft • algebraic loop • algorithm • Amplitude • Angle of attack • Anti-Windup • anti-windup algorithm • anti-windup augmentation • anti-windup compensator • anti-windup construction • anti-windup design • anti-windup filter • anti-windup synthesis • Applied mathematics • Arbitrarily large • Big O notation • Block Diagram • Block Matrix • bumpless authority transfer • Calculation • Capability (systems engineering) • Case study • Change of variables • Circle criterion • Closed Loop • Compensation • Complex conjugate • Computation • constrained closed loop • Controller • Control Theory • Convex Optimization • Cubic Hermite spline • damped mass-spring • dead-time plant • Degrees of freedom (mechanics) • Degrees of freedom (statistics) • detection • Diagonal matrix • diagram • Diagram (category theory) • direct control design • Directional derivative • direct linear anti-windup • Discrete time and continuous time • Dissipation • Double integrator • Ducted fan • Dynamical system • dynamic direct linear anti-windup • dynamic pressure • Eigenvalues and Eigenvectors • electrical Network • Engineering • Engine pressure ratio • Equation • Euler–Lagrange equation • Euler-Lagrange system • exponentially stable plant • exponentially unstable plant • Exponential stability • External stability • F8 aircraft • Factorization • feedback algorithm • Feedback Linearization • Feedback Loop • feedback signal • Feed forward (control) • For loop • Free parameter • global performance • global stability • Hardware redundancy • Heaviside step function • Hysteresis • Identity matrix • implementation • Inequality (mathematics) • Infimum and supremum • Initial Condition • Input • Input and output (medicine) • Input Saturation • inputЯutput stability • instability • Integrator • Interconnection • internal stability • internal state • Invertible matrix • Iterative Method • Jordan normal form • Karush–Kuhn–Tucker conditions • Limit cycle • linear controller • Linear dynamical system • Linear filter • Linear Independence • linear injection • Linearity • Linearization • Linear map • Linear Matrix Inequalities • Linear Matrix Inequality • linear model recovery anti-windup • Linear motion • Linear System • Lipschitz continuity • Lookup Table • Loop gain • Lyapunov equation • Lyapunov function • Lyapunov stability • Manipulator (device) • Mathematical Optimization • Mathematics • MATLAB • Measurement • measurement governor • Methodology • MIMO • Model Predictive Control • model recovery anti-windup • multicontroller scheme • negative feedback • nested saturation • Newton's method • non-exponentially unstable plant • Nonlinear Control • nonlinear gain • nonlinear injection • nonlinear plant • nonlinear synthesis technique • nonlinear system • Notation • Numerical Algorithm • Operating point • optimal control • optimal design • optimization problem • Overshoot (signal) • Parameter • Parameter (computer programming) • PID Controller • Piecewise • Pitch angle (particle motion) • positioning system • Positive-definite matrix • Problem Statement • quadratic function • quadratic programming • Quantity • rank-deficient matrices • Rate of Convergence • reduced-order compensator • reference governor • Regional stability • Reliable Control • Requirement • result • Sampling (signal processing) • saturated closed loop • saturated closed-loop system • saturation • saturation nonlinearity • Scara • Scheduling • Schur complement • Sensor • servomechanism • servo-positioning system • Setpoint (control system) • Sign (mathematics) • Simulation • SIMULINK • Singular value • SISO • Slope One • small signal preservation • Smith Predictor • smoothing • Solution Set • solver • Special case • Square matrix • stability • Stability Theory • stabilizer • State Space • state-space approach • State-space Representation • state variable • stateгpace representation • static linear anti-windup • Steady state • Step Response • stochastic • Subset • Switching • Symmetric matrix • Technology • thermodynamics • time derivative • Trade-off • Transfer Function • transformation matrix • transient response • unconstrained closed loop • unconstrained closed-loop system • unconstrained controller • unconstrained feedback system • unconstrained plant • unconstrained response • unconstrained response recovery • Variable (computer science) • Variable (mathematics) • water channel • White Noise • Windup
• ISBN-10: 1-4008-3902-5 / 1400839025
• ISBN-13: 978-1-4008-3902-5 / 9781400839025