Nonlinear Control Systems Analysis and Design

ISBN-10: 0471427993
ISBN-13: 9780471427995
Edition: 2003
List price: $134.00 Buy it from $99.34
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: Assuming no previous background on the subject, this book provides a readable, pedagogical presentation of nonlinear control systems, taking the students from the very basics of Lyapunov theory to research topics such as nonlinear observers and  More...

New Starting from $136.31
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
You could win $10,000

Get an entry for every item you buy, rent, or sell.

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
History of Western Art Online content $4.95 $1.99
Add to cart
Study Briefs
History of World Philosophies Online content $4.95 $1.99
Add to cart
Study Briefs
American History Volume 1 Online content $4.95 $1.99
Add to cart
Study Briefs
History of Western Music Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $134.00
Copyright year: 2003
Publisher: John Wiley & Sons, Incorporated
Publication date: 4/25/2003
Binding: Hardcover
Pages: 376
Size: 6.75" wide x 9.75" long x 1.00" tall
Weight: 1.386
Language: English

Assuming no previous background on the subject, this book provides a readable, pedagogical presentation of nonlinear control systems, taking the students from the very basics of Lyapunov theory to research topics such as nonlinear observers and dissipative systems.

HORACIO J. MARQUEZ is currently Associate Professor and Associate Chair of Graduate Studies in the Department of Electrical and Computer Engineering at the University of Alberta, Canada. Dr. Marquez has published numerous articles in journals and conference proceedings on subjects including control theory, nonlinear systems, robust control, and gain scheduling. He received the University of Alberta McCalla Research Professorship for 2003-04.

Introduction
Linear Time-Invariant Systems
Nonlinear Systems
Equilibrium Points
First-Order Autonomous Nonlinear Systems
Second-Order Systems: Phase-Plane Analysis
Phase-Plane Analysis of Linear Time-Invariant Systems
Phase-Plane Analysis of Nonlinear Systems
Limit Cycles
Higher-Order Systems
Chaos
Examples of Nonlinear Systems
Magnetic Suspension System
Inverted Pendulum on a Cart
The Ball-and-Beam System
Exercises
Mathematical Preliminaries
Sets
Metric Spaces
Vector Spaces
Linear Independence and Basis
Subspaces
Normed Vector Spaces
Matrices
Eigenvalues, Eigenvectors, and Diagonal Forms
Quadratic Forms
Basic Topology
Basic Topology in R[superscript n]
Sequences
Functions
Bounded Linear Operators and Matrix Norms
Differentiability
Some Useful Theorems
Lipschitz Continuity
Contraction Mapping
Solution of Differential Equations
Exercises
Lyapunov Stability I: Autonomous Systems
Definitions
Positive Definite Functions
Stability Theorems
Examples
Asymptotic Stability in the Large
Positive Definite Functions Revisited
Exponential Stability
Construction of Lyapunov Functions
The Invariance Principle
Region of Attraction
Analysis of Linear Time-Invariant Systems
Linearization of Nonlinear Systems
Instability
Exercises
Lyapunov Stability II: Nonautonomous Systems
Definitions
Positive Definite Functions
Examples
Stability Theorems
Proof of the Stability Theorems
Analysis of Linear Time-Varying Systems
The Linearization Principle
Perturbation Analysis
Converse Theorems
Discrete-Time Systems
Discretization
Stability of Discrete-Time Systems
Definitions
Discrete-Time Positive Definite Functions
Stability Theorems
Exercises
Feedback Systems
Basic Feedback Stabilization
Integrator Backstepping
Backstepping: More General Cases
Chain of Integrators
Strict Feedback Systems
Example
Exercises
Input--Output Stability
Function Spaces
Extended Spaces
Input--Output Stability
Linear Time-Invariant Systems
L[subscript p] Gains for LTI Systems
L[subscript infinity] Gain
L[subscript 2] Gain
Closed-Loop Input--Output Stability
The Small Gain Theorem
Loop Transformations
The Circle Criterion
Exercises
Input-to-State Stability
Motivation
Definitions
Input-to-State Stability (ISS) Theorems
Examples
Input-to-State Stability Revisited
Cascade-Connected Systems
Exercises
Passivity
Power and Energy: Passive Systems
Definitions
Interconnections of Passivity Systems
Passivity and Small Gain
Stability of Feedback Interconnections
Passivity of Linear Time-Invariant Systems
Strictly Positive Real Rational Functions
Exercises
Dissipativity
Dissipative Systems
Differentiable Storage Functions
Back to Input-to-State Stability
QSR Dissipativity
Examples
Mass-Spring System with Friction
Mass-Spring System without Friction
Available Storage
Algebraic Condition for Dissipativity
Special Cases
Stability of Dissipative Systems
Feedback Interconnections
Nonlinear l[subscript 2] Gain
Linear Time-Invariant Systems
Strictly Output Passive Systems
Some Remarks about Control Design
Nonlinear l[subscript 2]-Gain Control
Exercises
Feedback Linearization
Mathematical Tools
Lie Derivative
Lie Bracket
Diffeomorphism
Coordinate Transformations
Distributions
Input-State Linearization
Systems of the Form x = Ax + B[omega](x)[u - phi(x)]
Systems of the Form x = f(x) + g(x)u
Examples
Conditions for Input-State Linearization
Input-Output Linearization
The Zero Dynamics
Conditions for Input-Output Linearization
Exercises
Nonlinear Observers
Observers for Linear Time-Invariant Systems
Observability
Observer Form
Observers for Linear Time-Invariant Systems
Separation Principle
Nonlinear Observability
Nonlinear Observers
Observers with Linear Error Dynamics
Lipschitz Systems
Nonlinear Separation Principle
Proofs
Chapter 3
Chapter 4
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Bibliography
List of Figures
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×