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Book Cover
Author Scheinker, Alexander.

Title Model-Free Stabilization by Extremum Seeking
Published Cham : Springer International Publishing, 2016
Online access available from:
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Description 1 online resource (129 pages)
Series SpringerBriefs in Control, Automation and Robotics
SpringerBriefs in Control, Automation and Robotics
Contents 880-01 Preface; Contents; 1 Introduction; 1.1 Motivation; 1.2 Classical ES Background; 1.3 Stabilizing by Minimization; 2 Weak Limit Averaging for Studying the Dynamics of Extremum Seeking-Stabilized Systems; 2.1 Mathematical Notation; 2.2 Convergence of Trajectories and Practical Stability; 2.3 Weak Limit Averaging; 3 Minimization of Lyapunov Functions; 3.1 Is Assumption 1 Equivalent to Stabilizability?; 3.2 Is Assumption 1 Reasonable for Systems with Unknown Models?; 3.3 Comparison with Nussbaum Type Control; 4 Control Affine Systems; 4.1 Scalar Linear Systems with Unknown Control Directions
880-01 9 Application Study: Particle Accelerator Tuning9.1 Guidelines for Digital Implementation; 9.1.1 Cost and Constraints; 9.1.2 Choice of ω, and Δ; 9.1.3 Choice of k and α; 9.1.4 Digital Resolution; 9.1.5 Normalization of Parameters; 9.2 Automatic Particle Accelerator Tuning#x83;; 9.2.1 Magnet Tuning for Beam Transport; 9.2.2 Magnet and RF Buncher Cavity Tuning; 9.2.3 Adaptation to Time Varying Phase Delay and Beam Characteristics; 9.3 In-Hardware Applicaiton: RF Buncher Cavity Tuning; 9.3.1 RF Cavity Background; 9.3.2 Phase Measurement Based Resonance Controller; 9.3.3 Experimental Results
10 ConclusionsSeries Editor Biography ; References
4.2 Vector Valued Linear Systems with Unknown Control Directions4.3 Linear Systems in Strict-Feedback Form; 4.4 Nonlinear MIMO Systems with Matched Uncertainties; 4.5 Trajectory Tracking; 5 Non-C2 ES; 5.1 Introduction; 5.2 Averaging for Systems Not Differentiable at a Point; 5.3 Non-C2 Control for Time-Varying Systems; 5.4 Comparison with C2 Controllers; 6 Bounded ES; 6.1 Introduction; 6.2 Immunity to Measurement Noise; 6.3 Physical Motivation; 6.4 Extremum Seeking for Unknown Map; 6.5 Nonlinear MIMO Systems with Matched Uncertainties; 6.6 2D Vehicle Control; 6.7 2D Vehicle Simulations
6.7.1 Stationary Source Seeking6.7.2 Tracking by Heading Rate Control, with Disturbances; 7 Extremum Seeking for Stabilization of Systems Not Affine in Control; 7.1 The Main Result; 7.2 An Application of the Main Result; 7.3 Example of System Not Affine in Control; 7.4 Robustness of Nonlinear Approximation; 7.4.1 Dominant Odd Power Terms; 7.4.2 Dominant Even Power Terms; 7.4.3 Even Nonlinearities in Bounded System; 7.4.4 Summary of Robustness Study; 8 General Choice of ES Dithers; 8.1 The On-Average Equivalence of Various Dithers; 8.2 Application to Inverter Switching Control
Notes Print version record
Subject Automatic control -- Mathematical models.
Form Electronic book
Author Krstić, Miroslav.
ISBN 3319507907