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Applications of Robust Control to Nonlinear Systems Book

Applications of Robust Control to Nonlinear Systems
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  • Applications of Robust Control to Nonlinear Systems
  • Written by author Richard D. Colgren
  • Published by American Institute of Aeronautics & Astronautics, January 2004
  • Colgren (aerospace engineering, University of Kansas) demonstrates the describing function method for determining the stability of non- linear systems, the optimal control synthesis method for achieving singular-value loop-shaping specifications, and robu
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Prefaceix
Acknowledgmentsxi
Volume Nomenclaturexiii
Chapter 1.Introduction to Robust Control1
Chapter 2.Describing Function3
I.Definition of Describing Function3
II.General Describing Function Evaluation Methods5
Chapter 3.H[subscript infinity] Optimal Controlis17
I.Performance Specification18
II.H[subscript infinity] Control Synthesis20
III.H[subscript infinity] Riccati Solution for Augmented Plant Containing Describing Function29
Chapter 4.Robustness Analysis via Simplicial Algorithms41
I.Analytic Geometry41
II.Simplicial Mapping44
III.Simplex Nulling46
IV.Integer Labeling47
V.Vector Labeling50
Chapter 5.Nonlinear H[subscript infinity] Control53
I.Nonlinear H[subscript infinity] Control Approach53
II.H[subscript infinity] Control of System with Relay Element via Loo-Shifting53
III.Control via Adaptive Perturbation Filter64
IV.Nonlinear Robustness Analysis of Relay Element via Simplicial Algorithms79
Chapter 6.Direct Approach to Nonlinear H[subscript infinity] Control93
I.Riccati Equation Solution Initialization93
II.Hamiltonian Matrix H[subscript infinity] Solution94
III.Solution to H[subscript infinity] Riccati Equation96
IV.Hamiltonian Matrix J[subscript infinity] Solution101
V.Solution to J[subscript infinity] Riccati Equation103
VI.Optimal H[subscript infinity] Controller105
Chapter 7.Nonlinear H[subscript infinity] Control of a UAV111
I.UAV Plant Model111
II.UAV Roll Axis Control114
III.Closed Loop UAV Response129
Chapter 8.Computer Algorithms133
I.H[subscript infinity] Optimization133
II.FORTRAN Simulation136
III.Variable Dimension Restart Algorithm137
Chapter 9.Hardware Implementation Example139
I.Circuit Design139
II.Circuit's Dynamic Response144
Chapter 10.Piloted Aircraft Performance155
I.[mu]-Synthesis Design Procedure155
II.Weightings and Uncertainty Models157
III.Conceptual [mu]-Synthesis Design160
IV.Iterated [mu]-Synthesis Design161
V.Maneuvers163
VI.Conclusions163
References165
Index171
Supporting Materials175


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