Hierarchical Nonlinear Switching Control Design with Applications to Propulsion Systems

Front Cover
Springer Science & Business Media, Jul 17, 2000 - Language Arts & Disciplines - 132 pages
This book presents a general nonlinear control design methodology for nonlinear uncertain dynamical systems. Specifically, a hierarchical nonlinear switching control framework is developed that provides a rigorous alternative to gain scheduling control for general nonlinear uncertain systems. The proposed switching control design framework accounts for actuator saturation constraints as well as system modeling uncertainty. The efficacy of the control design approach is extensively demonstrated on aeroengine propulsion systems. In particular, dynamic models for rotating stall and surge in axial and centrifugal flow compression systems that lend themselves to the application of nonlinear control design are developed and the hierarchical switching control framework is then applied to control the aerodynamic instabilities of rotating stall and surge.
For the researcher who is entering the field of hierarchical switching robust control this book provides a plethora of new research directions. Alternatively, for researchers already active in the field of hierarchical control and hybrid systems, this book can be used as a reference to a significant body of recent work. Furthermore, control practitioners involved with nonlinear control design can immensely benefit from the novel nonlinear stabilization techniques presented in the book.
 

Contents

1 Introduction
1
12 Brief Outline of the Monograph
4
2 Generalized Lyapunov and Invariant Set Theorems for Nonlinear Dynamical Systems
7
22 Mathematical Preliminaries
8
23 Generalized Stability Theorems
11
24 Conclusion
19
3 Nonlinear System Stabilization via Hierarchical Switching Controllers
21
32 Mathematical Preliminaries
23
524 Governing System Flow Equations
70
525 Plenum and Throttle Discharge
71
53 MultiMode State Space Model
72
54 Finite Element MultiMode State Space Model
75
55 Control for SingleMode versus MultiMode Model
77
56 Stabilization of MultiMode Axial Flow Compression System Models
80
57 Robust Stabilization of Axial Flow Compressors with Uncertain PressureFlow Maps
84
571 Uncertain Finite Element MultiMode State Space Model
85

33 Parameterized System Equilibria and Domains of Attraction
24
34 Nonlinear System Stabilization via a Hierarchical Switching Controller Architecture
26
35 Extensions to Nonlinear Dynamic Compensation
35
36 Inverse Optimal Nonlinear Switching Control
39
37 Conclusion
46
4 Nonlinear Robust Switching Controllers for Nonlinear Uncertain Systems
47
42 Mathematical Preliminaries
48
43 Parameterized Nominal System Equilibria System Attractors and Domains of Attraction
49
44 Robust Nonlinear System Stabilization via a Hierarchical Switching Controller Architecture
51
45 Conclusion
57
5 Hierarchical Switching Control for MultiMode Axial Flow Compressor Models
59
52 Governing Fluid Dynamic Equations for Axial Flow Compression Systems
62
522 Compressor
68
523 Exit Duct
69
572 Hierarchical Robust Control for Propulsion Systems
87
58 Conclusion
95
6 Hierarchical Switching Control for Centrifugal Flow Compressor Models
97
62 Governing Fluid Dynamic Equations for Centrifugal Compression Systems
98
622 Conservation of Momentum
100
623 Turbocharger Spool Dynamics
104
63 Parameterized System Equilibria and Local Set Point Designs
105
64 Hierarchical Nonlinear Switching Control for Centrifugal Compression Systems
107
65 Conclusion
115
7 Conclusions
117
Bibliography
123
Index
131
Copyright

Other editions - View all

Common terms and phrases