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Modern Anti-windup Synthesis
Luca Zaccarian, Andrew R. Teel
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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
Kundenbewertungen
Smoothing, State variable, State-space representation, Change of variables, Step response, Variable (computer science), Setpoint (control system), Initial condition, MATLAB, Measurement, PID controller, Euler–Lagrange equation, Calculation, Optimal control, Overshoot (signal), Stability theory, Transfer function, Block diagram, Linear filter, Trade-off, Double integrator, Singular value, Linear independence, Newton's method, Diagonal matrix, Integrator, Karush–Kuhn–Tucker conditions, Smith predictor, Directional derivative, Result, Lyapunov equation, Eigenvalues and eigenvectors, Steady state, Input and output (medicine), Equation, Linear map, Free parameter, Interconnection, Servomechanism, Lipschitz continuity, Big O notation, Inequality (mathematics), Degrees of freedom (statistics), Parameter, Linear matrix inequality, Negative feedback, Degrees of freedom (mechanics), Convex optimization, Lyapunov stability, Quadratic function, Solver, Actuator, Exponential stability, Lyapunov function, Parameter (computer programming), Computation, Requirement, Special case, Accuracy and precision, Heaviside step function, Optimization problem, Symmetric matrix, Infimum and supremum, Rate of convergence, Linearity, Mathematical optimization, Amplitude, Nonlinear system, Transient response, Algorithm