Nonlinear and Adaptive Control Design

by ; ;
Edition: 1st
Format: Hardcover
Pub. Date: 1995-06-14
Publisher(s): Wiley-Interscience
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Summary

Using a pedagogical style along with detailed proofs and illustrative examples, this book opens a view to the largely unexplored area of nonlinear systems with uncertainties. The focus is on adaptive nonlinear control results introduced with the new recursive design methodology--adaptive backstepping. Describes basic tools for nonadaptive backstepping design with state and output feedbacks.

Author Biography

MIROSLAV KRST-C received his PhD from the University of California, Santa Barbara, in 1994 where he is currently a researcher in the Department of Electrical and Computer Engineering. <p> IOANNIS KANELLAKOPOULOS received his PhD in electrical engineering from the University of Illinois in 1992 and is presently an assistant professor in the Department of Electrical Engineering at the University of California, Los Angeles. <p> KOKOTOVI&Cacute; has been Co-Director of the Center for Control Engineering and Computation at the University of California, Santa Barbara, since 1991. Previously, he was with the University of Illinois, where he held the Grainger Chair. His recognition as a leading authority in control theory includes the triennial Quazza Medal by IFAC in 1990 and the 1995 IEEE Control Systems Award.

Table of Contents

Introduction
1(18)
Adaptive Linear Control
1(6)
Emergence of adaptive control
1(1)
Achievements of adaptive linear control
2(1)
Adaptive control as dynamic nonlinear feedback
3(1)
Lyapunov-based design
4(1)
Estimation-based design
5(2)
Adaptive Nonlinear Control
7(4)
A nonlinear challenge
7(2)
A structural obstacle
9(1)
Early results
10(1)
Preview of the Main Topics
11(6)
Classes of nonlinear systems
11(1)
Adaptive backstepping and tuning functions
12(2)
Modular designs
14(1)
Output-feedback designs
15(1)
Linear systems
15(1)
Transient performance
16(1)
Caveat: robustness
17(1)
Notation
17(2)
Notes and References
17(2)
I State Feedback 19(264)
Design Tools for Stabilization
21(66)
Stability
22(7)
Main stability theorems
22(3)
Control Lyapunov functions (clf)
25(4)
Backstepping
29(29)
Integrator backstepping
29(8)
Example: active suspension (parallel)
37(2)
Feedback linearization and zero dynamics
39(3)
Stabilization of cascade systems
42(7)
Block backstepping with zero dynamics
49(6)
Example: active suspension (series)
55(3)
Recursive Design Procedures
58(8)
Strict-feedback systems
58(3)
Pure-feedback systems
61(3)
Block-strict-feedback systems
64(2)
Design Flexibility: Jet Engine Example
66(6)
Jet engine stall and surge
67(1)
A two-step design
68(2)
Avoiding cancellations
70(2)
Stabilization with Uncertainty
72(15)
Nonlinear damping
73(7)
Backstepping with uncertainty
80(4)
Robust strict-feedback systems
84(2)
Notes and References
86(1)
Adaptive Backstepping Design
87(36)
Adaptation as Dynamic Feedback
88(4)
Adaptive Backstepping
92(7)
Adaptive integrator backstepping
92(6)
Adaptive block backstepping
98(1)
Recursive Design Procedures
99(11)
Parametric strict-feedback systems
99(4)
Multi-input systems
103(2)
Parametric block-strict-feedback systems
105(5)
Extended Matching Design
110(13)
Reducing the overparametrization
110(3)
Example: biochemical process
113(2)
Transient performance improvement
115(6)
Notes and References
121(2)
Tuning Functions Design
123(62)
Adaptive Control Lyapunov Functions
124(15)
Departure from certainty equivalence
124(4)
Certainty equivalence for a modified system
128(6)
Adaptive backstepping via aclf
134(5)
Set-Point Regulation
139(17)
Design procedure
140(11)
Stability and convergence
151(3)
Passivity
154(2)
Tracking
156(9)
Design procedure
157(5)
Trajectory initialization
162(3)
Transient Performance
165(3)
ℒ2 performance
165(1)
ℒ∞ performance
166(2)
Extensions
168(12)
Unknown virtual control coefficients
168(5)
Block-strict-feedback systems
173(2)
Pure-feedback systems
175(5)
Example: Aircraft Wing Rock
180(5)
Notes and References
183(2)
Modular Design with Passive Identifiers
185(50)
Weakness of Certainty Equivalence
186(3)
ISS-Control Lyapunov Functions
189(9)
ISS-Controller Design
198(8)
Observers for Strict Passivity
206(3)
z-Passive Scheme
209(3)
x-Passive Scheme
212(6)
Transient Performance
218(4)
SG-Scheme (Weak Modularity)
222(7)
Controller design
223(2)
Scheme with strengthened identifier
225(4)
Unknown Virtual Control Coefficients
229(6)
Controller design
229(3)
Passive adaptive scheme
232(1)
Notes and References
233(2)
Modular Design with Swapping Identifiers
235(48)
ISS-Controller
235(2)
Swapping and Static Parametric Models
237(2)
z-Swapping Scheme
239(9)
x-Swapping Scheme
248(6)
Transient Performance
254(11)
Simulation examples
259(6)
SG-Scheme
265(6)
Schemes with Weak ISS-Controller
271(6)
Unknown Virtual Control Coefficients
277(6)
Notes and References
282(1)
II Output Feedback 283(204)
Output-Feedback Design Tools
285(42)
Observer Backstepping
285(9)
Unmeasured states
285(6)
Output-feedback systems
291(3)
MIMO Design: Induction Motor
294(7)
Adaptive Observer Backstepping
301(14)
An introductory example
301(6)
Parametric output-feedback systems
307(6)
Example: single-link flexible robot
313(2)
Extensions
315(12)
Interlaced controller-observer design
315(5)
Design with partial-state feedback
320(4)
Notes and References
324(3)
Tuning Functions Designs
327(44)
Design with K-Filters
329(19)
Filters and observer
329(3)
Adaptive controller design
332(8)
Stability
340(6)
Transient performance
346(2)
Design with MT-Filters
348(17)
Filtered transformations and observer
348(3)
Adaptive controller design
351(6)
Stability
357(6)
Transient performance
363(2)
Example: Levitated Ball
365(6)
Notes and References
369(2)
Modular Designs
371(46)
ISS-Controller Design
372(8)
y-Passive Scheme
380(4)
y-Swapping Scheme
384(4)
x-Swapping Scheme
388(4)
Schemes with Parametric z-Model
392(2)
Transient Performance
394(6)
Passive schemes
394(3)
Swapping schemes
397(3)
Swapping Schemes with Weak ISS-Controller
400(3)
Schemes with MT-Filters
403(14)
ISS-observer
404(1)
ISS-controller
405(2)
χ-Passive scheme
407(2)
ε-Swapping scheme
409(3)
Transient performance
412(4)
Notes and References
416(1)
Linear Systems
417(70)
State Estimation Filters
418(4)
Tuning Functions Design
422(21)
Design procedure
422(12)
Stability analysis
434(4)
Passivity
438(2)
Design example
440(3)
Properties of the Nonadaptive System
443(10)
Underlying linear controller
443(5)
Parametric robustness and nonadaptive performance
448(5)
Transient Performance with Tuning Functions
453(11)
Transient performance of the adaptive system
454(5)
Performance improvement due to adaptation
459(5)
Comparison with a Traditional Scheme
464(6)
Choice of a traditional scheme
464(1)
Comparison of the schemes
465(5)
Modular Designs
470(14)
SG-controller
470(3)
y-Passive scheme
473(4)
x-Swapping scheme
477(5)
Comparison: modular vs. tuning functions design
482(2)
Summary
484(3)
Notes and References
484(3)
Appendices 487(54)
A Lyapunov Stability and Convergence
489(4)
B Input-Output Stability
493(8)
C Input-to-State Stability
501(6)
D Passivity
507(4)
E Parameter Projection
511(4)
F Nonlinear Swapping
515(6)
G Differential Geometric Conditions
521(20)
G.1 Partial-State-Feedback Forms
521(12)
G.2 Output-Feedback Forms
533(2)
G.3 Full-State-Feedback Forms
535(6)
Bibliography 541(18)
Index 559

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