Applications of robust control to nonlinear systems / / Richard D. Colgren

• Record Nr.: UNINA9910973871103321
• Autore: Colgren Richard D (Richard Dean)
• Pubbl/distr/stampa: Reston, Va., : American Institute of Aeronautics and Astronautics, Inc., c2004
• ISBN: 1-60086-672-7; 1-60086-453-8
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (185 p.)
• Collana: Progress in astronautics and aeronautics ; ; v. 205
• Disciplina: 629.1 s; 629.8/312
• Soggetti: Robust control; Nonlinear systems; Airplanes - Control systems - Mathematical models
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 165-169) and index.
• Nota di contenuto: ""Cover""; ""Title""; ""Copyright""; ""Table of Contents""; ""Preface""; ""Acknowledgments""; ""Volume Nomenclature""; ""Chapter 1. Introduction to Robust Control""; ""Chapter 2. Describing Function""; ""I. Definition of Describing Function""; ""II. General Describing Function Evaluation Methods""; ""Chapter 3. H(infinity) Optimal Control""; ""I. Performance Specification""; ""II. HOC Control Synthesis""; ""III. #00 Riccati Solution for Augmented Plant Containing Describing Function""; ""Chapter 4. Robustness Analysis via Simplicial Algorithms""; ""I. Analytic Geometry""; ""II. Simplicial Mapping""""III. Simplex Nulling""; ""IV. Integer Labeling""; ""V. Vector Labeling""; ""Chapter 5. Nonlinear H(infinity) Control""; ""I. Nonlinear H^ Control Approach""; ""II. #00 Control of System with Relay Element via Loop-Shifting""; ""III. Control via Adaptive Perturbation Filter""; ""IV. Nonlinear Robustness Analysis of Relay Element via Simplicial Algorithms""; ""Chapter 6. Direct Approach to Nonlinear H(infinity) Control""; ""I. Riccati Equation Solution Initialization""; ""II. Hamiltonian Matrix H^ Solution""; ""III. Solution to HOQ Riccati Equation""; ""IV. Hamiltonian Matrix J^ Solution""""V. Solution to Joe Riccati Equation""; ""VI. Optimal H^ Controller""; ""Chapter 7. Nonlinear H(infinity) Control of a UAV""; ""I. UAV Plant Model""; ""II. UAV Roll Axis Control""; ""III. Closed Loop UAV Response""; ""Chapter 8. Computer Algorithms""; ""I. HOQ Optimization""; ""II. FORTRAN Simulation""; ""III. Variable Dimension Restart Algorithm""; ""Chapter 9. Hardware Implementation Example""; ""I. Circuit Design""; ""II. Circuit's Dynamic Response""; ""Chapter 10. Piloted Aircraft Performance""; ""I. Î?-Synthesis Design Procedure""; ""II. Weightings and Uncertainty Models""""III. Conceptual Î?-Synthesis Design""; ""IV. Iterated Î?-Synthesis Design""; ""V. Maneuvers""; ""VI. Conclusions""; ""References""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Z""
• Sommario/riassunto: This book offers a three-step approach to generating a robust nonlinear controller: modeling, synthesis and robustness analysis. The publication is targeted to practicing engineers and graduate-level students working in guidance, information command and control systems, and CAD/CAM. The methods covered in this book allow the user to design and analyze nonlinear controllers for nonlinear systems with several important and unique characteristics: the ability to specify the closed loop system's frequency response via requirements on the sensitivity (S) and complementary sensitivity (T), the ability to directly minimize an undesirable resonance or peak in the frequency response while simultaneously closing all loops from the input to the output vector in essentially one single design step, and the ability to analyze the stability characteristics for multiple independent and dependent problem variables. The approach uniquely allows the user to achieve stable and robust performance for systems which are both unstable and contain discontinuous nonlinearities using adaptive nonlinear controllers.