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Márquez, Horacio

Nonlinear Control Systems

Analysis and Design

€ 153.95

Modern technological advances, bringing an ever increasing demand for better performance, coupled with the availability of low cost computer power, have lead control engineers to face problems of high complexity.


Taal / Language : English

Inhoudsopgave:
Introduction
1(31)
Linear Time-Invariant Systems
1(2)
Nonlinear Systems
3(2)
Equilibrium Points
5(1)
First-Order Autonomous Nonlinear Systems
5(3)
Second-Order Systems: Phase-Plane Analysis
8(2)
Phase-Plane Analysis of Linear Time-Invariant Systems
10(8)
Phase-Plane Analysis of Nonlinear Systems
18(2)
Limit Cycles
18(2)
Higher-Order Systems
20(2)
Chaos
21(1)
Examples of Nonlinear Systems
22(5)
Magnetic Suspension System
23(2)
Inverted Pendulum on a Cart
25(1)
The Ball-and-Beam System
26(1)
Exercises
27(4)
Mathematical Preliminaries
31(34)
Sets
31(1)
Metric Spaces
32(1)
Vector Spaces
32(7)
Linear Independence and Basis
34(2)
Subspaces
36(1)
Normed Vector Spaces
37(2)
Matrices
39(5)
Eigenvalues, Eigenvectors, and Diagonal Forms
40(1)
Quadratic Forms
41(3)
Basic Topology
44(1)
Basic Topology in Rn
44(1)
Sequences
45(1)
Functions
46(3)
Bounded Linear Operators and Matrix Norms
48(1)
Differentiability
49(3)
Some Useful Theorems
51(1)
Lipschitz Continuity
52(2)
Contraction Mapping
54(2)
Solution of Differential Equations
56(3)
Exercises
59(6)
Lyapunov Stability I: Autonomous Systems
65(42)
Definitions
65(4)
Positive Definite Functions
69(2)
Stability Theorems
71(3)
Examples
74(3)
Asymptotic Stability in the Large
77(3)
Positive Definite Functions Revisited
80(2)
Exponential Stability
82(1)
Construction of Lyapunov Functions
82(3)
The Invariance Principle
85(8)
Region of Attraction
93(3)
Analysis of Linear Time-Invariant Systems
96(4)
Linearization of Nonlinear Systems
99(1)
Instability
100(2)
Exercises
102(5)
Lyapunov Stability II: Nonautonomous Systems
107(30)
Definitions
107(3)
Positive Definite Functions
110(3)
Examples
111(2)
Stability Theorems
113(2)
Proof of the Stability Theorems
115(4)
Analysis of Linear Time-Varying Systems
119(3)
The Linearization Principle
120(2)
Perturbation Analysis
122(3)
Converse Theorems
125(1)
Discrete-Time Systems
126(1)
Discretization
127(3)
Stability of Discrete-Time Systems
130(3)
Definitions
130(1)
Discrete-Time Positive Definite Functions
131(1)
Stability Theorems
132(1)
Exercises
133(4)
Feedback Systems
137(18)
Basic Feedback Stabilization
138(3)
Integrator Backstepping
141(4)
Backstepping: More General Cases
145(6)
Chain of Integrators
145(3)
Strict Feedback Systems
148(3)
Example
151(2)
Exercises
153(2)
Input--Output Stability
155(28)
Function Spaces
156(3)
Extended Spaces
157(2)
Input--Output Stability
159(5)
Linear Time-Invariant Systems
164(2)
Lp Gains for LTI Systems
166(2)
L∞ Gain
166(1)
L2 Gain
167(1)
Closed-Loop Input--Output Stability
168(3)
The Small Gain Theorem
171(3)
Loop Transformations
174(4)
The Circle Criterion
178(2)
Exercises
180(3)
Input-to-State Stability
183(18)
Motivation
183(2)
Definitions
185(1)
Input-to-State Stability (ISS) Theorems
186(5)
Examples
189(2)
Input-to-State Stability Revisited
191(4)
Cascade-Connected Systems
195(3)
Exercises
198(3)
Passivity
201(22)
Power and Energy: Passive Systems
201(3)
Definitions
204(4)
Interconnections of Passivity Systems
208(3)
Passivity and Small Gain
210(1)
Stability of Feedback Interconnections
211(3)
Passivity of Linear Time-Invariant Systems
214(3)
Strictly Positive Real Rational Functions
217(3)
Exercises
220(3)
Dissipativity
223(32)
Dissipative Systems
224(1)
Differentiable Storage Functions
225(1)
Back to Input-to-State Stability
226(1)
QSR Dissipativity
226(3)
Examples
229(2)
Mass-Spring System with Friction
229(2)
Mass--Spring System without Friction
231(1)
Available Storage
231(2)
Algebraic Condition for Dissipativity
233(4)
Special Cases
235(2)
Stability of Dissipative Systems
237(2)
Feedback Interconnections
239(4)
Nonlinear L2 Gain
243(4)
Linear Time-Invariant Systems
245(1)
Strictly Output Passive Systems
246(1)
Some Remarks about Control Design
247(4)
Nonlinear L2-Gain Control
251(2)
Exercises
253(2)
Feedback Linearization
255(36)
Mathematical Tools
255(10)
Lie Derivative
256(1)
Lie Bracket
257(2)
Diffeomorphism
259(1)
Coordinate Transformations
259(2)
Distributions
261(4)
Input--State Linearization
265(5)
Systems of the Form x = Ax + Bω(x)[u -- φ(x)]
265(2)
Systems of the Form x = f(x) + g(x)u
267(3)
Examples
270(3)
Conditions for Input--State Linearization
273(2)
Input--Output Linearization
275(5)
The Zero Dynamics
280(7)
Conditions for Input--Output Linearization
287(1)
Exercises
287(4)
Nonlinear Observers
291(16)
Observers for Linear Time-Invariant Systems
291(5)
Observability
292(2)
Observer Form
294(1)
Observers for Linear Time-Invariant Systems
294(1)
Separation Principle
295(1)
Nonlinear Observability
296(2)
Nonlinear Observers
298(1)
Observers with Linear Error Dynamics
298(3)
Lipschitz Systems
301(2)
Nonlinear Separation Principle
303(4)
A Proofs
307(30)
Chapter 3
307(6)
Chapter 4
313(2)
Chapter 6
315(5)
Chapter 7
320(4)
Chapter 8
324(4)
Chapter 9
328(2)
Chapter 10
330(7)
Bibliography 337(8)
List of Figures 345(4)
Index 349
Extra informatie: 
Hardback
376 pagina's
Januari 2003
635 gram
248 x 171 x 25 mm
Wiley-Blackwell us

Levertijd: 5 tot 11 werkdagen