Horacio J. Marquez

Nonlinear Control Systems

Analysis and Design

• Gebundenes Buch

Produktbeschreibung

Provides complete coverage of both the Lyapunov and Input-Output stability theories, ina readable, concise manner.
_ Supplies an introduction to the popular backstepping approach to nonlinear control design
_ Gives a thorough discussion of the concept of input-to-state stability
_ Includes a discussion of the fundamentals of feedback linearization and related results.
_ Details complete coverage of the fundamentals of dissipative system's theory and its application in the so-called L2gain control prooblem, for the first time in an introductory level textbook.
_ Contains a thorough discussion of nonlinear observers, a very important problem, not commonly encountered in textbooksat this level.

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Produktdetails

• Verlag: Wiley & Sons
• 1. Auflage
• Seitenzahl: 376
• Erscheinungstermin: 25. April 2003
• Englisch
• Abmessung: 240mm x 161mm x 25mm
• Gewicht: 630g
• ISBN-13: 9780471427995
• ISBN-10: 0471427993
• Artikelnr.: 11429248

Autorenporträt

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.

Inhaltsangabe

Introduction. 1.1 Linear Time-Invariant Systems. 1.2 Nonlinear Systems. 1.3
Equilibrium Points. 1.4 First-Order Autonomous Nonlinear Systems. 1.5
Second-Order Systems: Phase-Plane Analysis. 1.6 Phase-Plane Analysis of
Linear Time-Invariant Systems. 1.7 Phase-Plane Analysis of Nonlinear
Systems. 1.8 Higher-Order Systems. 1.9 Examples of Nonlinear Systems. 1.10
Exercises. Mathematical Preliminaries. 2.1 Sets. 2.2 Metric Spaces. 2.3
Vector Spaces. 2.4 Matrices. 2.5 Basic Topology. 2.6 Sequences. 2.7
Functions. 2.8 Differentiability. 2.9 Lipschitz Continuity. 2.10
Contraction Mapping. 2.11 Solution of Differential Equations. 2.12
Exercises. Lyapunov Stability I: Autonomous Systems. 3.1 Definitions. 3.2
Positive Definite Functions. 3.3 Stability Theorems. 3.4 Examples. 3.5
Asymptotic Stability in the Large. 3.6 Positive Definite Functions
Revisited. 3.7 Construction of Lyapunov Functions. 3.8 The Invariance
Principle. 3.9 Region of Attraction. 3.10 Analysis of Linear Time-Invariant
Systems. 3.11 Instability. 3.12 Exercises. Lyapunov Stability II:
Nonautonomous Systems. 4.1 Definitions. 4.2 Positive Definite Functions.
4.3 Stability Theorems. 4.4 Proof of the Stability Theorems. 4.5 Analysis
of Linear Time-Varying Systems. 4.6 Perturbation Analysis. 4.7 Converse
Theorems. 4.8 Discrete-Time Systems. 4.9 Discretization. 4.10 Stability of
Discrete-Time Systems. 4.11 Exercises. Feedback Systems. 5.1 Basic Feedback
Stabilization. 5.2 Integrator Backstepping. 5.3 Backstepping: More General
Cases. 5.4 Examples. 5.5 Exercises. Input-Output Stability. 6.1 Function
Spaces. 6.2 Input-Output Stability. 6.3 Linear Time-Invariant Systems. 6.4
L_p Gains for LTI Systems. 6.5 Closed Loop Input-Output Stability. 6.6 The
Small Gain Theorem. 6.7 Loop Transformations. 6.8 The Circle Criterion. 6.9
Exercises. Input-to-State Stability. 7.1 Motivation. 7.2 Definitions. 7.3
Input-to-State Stability (ISS) Theorems. 7.4 Input-to-State Stability
Revisited. 7.5 Cascade Connected Systems. 7.6 Exercises. Passivity. 8.1
Power and Energy: Passive Systems. 8.2 Definitions. 8.3 Interconnections of
Passivity Systems. 8.4 Stability of Feedback Interconnections. 8.5
Passivity of Linear Time-Invariant Systems. 8.6 Strictly Positive Real
Rational Functions. Exercises. Dissipativity. 9.1 Dissipative Systems. 9.2
Differentiable Storage Functions. 9.3 QSR Dissipativity. 9.4 Examples. 9.5
Available Storage. 9.6 Algebraic Condition for Dissipativity. 9.7 Stability
of Dissipative Systems. 9.8 Feedback Interconnections. 9.9 Nonlinear L_2
Gain. 9.10 Some Remarks about Control Design. 9.11 Nonlinear L_2-Gain
Control. 9.12 Exercises. Feedback Linearization. 10.1 Mathematical Tools.
10.2 Input-State Linearization. 10.3 Examples. 10.4 Conditions for
Input-State Linearization. 10.5 Input-Output Linearization. 10.6 The Zero
Dynamics. 10.7 Conditions for Input-Output Linearization. 10.8 Exercises.
Nonlinear Observers. 11.1 Observers for Linear Time-Invariant Systems. 11.2
Nonlinear Observability. 11.3 Observers with Linear Error Dynamics. 11.4
Lipschitz Systems. 11.5 Nonlinear Separation Principle. Proofs.
Bibliography. List of Figures. Index.

Rezensionen

"...a self-contained readable presentation of nonlinear control systems..." (Zentralblatt Math, Vol.1037, No.12, 2004) "...an excellent, pedagogically sound book on analysis and design of nonlinear control systems." (International Journal of General Systems, December 2003)