《Hierarchical nonlinear switching control design with applications to propu...

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《Hierarchical nonlinear switching control design with applications to propulsion systems》
分层非线性切换控制设计与推进系统中的应用
作者：
Alexander Leonessa, Assistant Professor
Department of Ocean Engineering, Florida Atlantic University, USA
Wassim M. Haddad, Professor
School of Aerospace Engineering, Georgia Institiute of Technology, Atlanta,
GA 30332-0150, USA
VijaySekhar CheUaboina, Assistant Professor
Department of Mechanical and Aerospace Engineering, University of Missouri,
Columbia
出版社：Springer
出版时间：2000年

《Hierarchical nonlinear switching control design with applications to propulsion systems》

《Hierarchical nonlinear switching control design with applications to propulsion systems》

《Hierarchical nonlinear switching control design with applications to propulsion systems》

《Hierarchical nonlinear switching control design with applications to propulsion systems》

目录
List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIII
. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.1 Nonlinear Control Design: Motivation and Overview . . . . . . . . 1
1.2 Brief Outline of the Monograph . . . . . . . . . . . . . . . . . . . . . . . . . . 4
. Generalized Lyapunov and Invariant Set Theorems for Nonlinear
Dynamical Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.2 Mathematical Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2.3 Generalized Stability Theorems . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
. Nonlinear System Stabilization via Hierarchical Switching
Controllers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
3.2 Mathematical Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
3.3 Parameterized System Equilibria and Domains of Attraction. 24
3.4 Nonlinear System Stabilization via a Hierarchical Switching
Controller Architecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
3.5 Extensions to Nonlinear Dynamic Compensation . . . . . . . . . . . 35
3.6 Inverse Optimal Nonlinear Switching Control . . . . . . . . . . . . . . 39
3.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
. Nonlinear Robust Switching Controllers for Nonlinear Uncertain
Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
4.2 Mathematical Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
4.3 Parameterized Nominal System Equilibria, System Attractors,
and Domains of Attraction . . . . . . . . . . . . . . . . . . . . . . . . . . 49
4.4 Robust Nonlinear System Stabilization via a Hierarchical
Switching Controller Architecture . . . . . . . . . . . . . . . . . . . . . . . . 51
XII Contents
4.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
. Hierarchical Switching Control for Multi-Mode Axial Flow
Compressor Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
5.2 Governing Fluid Dynamic Equations for Axial Flow Compression
Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
5.2.1 Entrance Duct and Inlet Guide Vane Entrance . . . . . . . 62
5.2.2 Compressor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
5.2.3 Exit Duct . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
5.2.4 Governing System Flow Equations . . . . . . . . . . . . . . . . . . 70
5.2.5 Plenum and Throttle Discharge . . . . . . . . . . . . . . . . . . . . 71
5.3 Multi-Mode State Space Model . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
5.4 Finite Element Multi-Mode State Space Model . . . . . . . . . . . . . . 75
5.5 Control for Single-Mode versus Multi-Mode Model . . . . . . . . . . 77
5.6 Stabilization of Multi-Mode Axial Flow Compression System
Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
5.7 Robust Stabilization of Axial Flow Compressors with Uncertain
Pressure-Flow Maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
5.7.1 Uncertain Finite Element Multi-Mode State Space
Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
5.7.2 Hierarchical Robust Control for Propulsion Systems .. 87
5.8 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
. Hierarchical Switching Control for Centrifugal Flow Compressor
Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
6.2 Governing Fluid Dynamic Equations for Centrifugal Compression
Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
6.2.1 Conservation of Mass in the Plenum . . . . . . . . . . . . . . . . 98
6.2.2 Conservation of Momentum . . . . . . . . . . . . . . . . . . . . . . . . 100
6.2.3 Turbocharger Spool Dynamics . . . . . . . . . . . . . . . . . . . . . 104
6.3 Parameterized System Equilibria and Local Set Point Designs 105
6.4 Hierarchical Nonlinear Switching Control for Centrifugal
Compression Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107
6.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
7. Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131


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