Analysis and control of nonlinear systems with stationary sets : time-domain and frequency-domain methods /

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This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and si...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Wang, Jinzhi
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hackensack, N.J. : World Scientific, ©2009.
Temas:
Nonlinear control theory.
Commande non linéaire.
TECHNOLOGY & ENGINEERING > Automation.
TECHNOLOGY & ENGINEERING > Robotics.
Nonlinear control theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Contents
  • Preface
  • Notation and Symbols
  • 1. Linear Systems and Linear Matrix Inequalities
  • 1.1 Controllability and observability of linear systems
  • 1.1.1 Controllability and observability
  • 1.1.2 Stabilizability and detectability
  • 1.2 Algebraic Lyapunov equations and Lyapunov inequalities
  • 1.2.1 Continuous-time algebraic Lyapunov equations
  • 1.2.2 Continuous-time Lyapunov inequalities
  • 1.2.3 Discrete-time algebraic Lyapunov equations and inequalities
  • 1.3 Formulation related to linear matrix inequalities
  • 1.3.1 Schur complements
  • 1.3.2 Projection lemma
  • 1.4 The S-procedure
  • 1.4.1 The S-procedure for nonstrict inequalities
  • 1.4.2 The S-procedure for strict inequalities
  • 1.5 Kalman-Yakubovi183;c-Popov (KYP) lemma and its general- ized forms
  • 1.6 Notes and references
  • 2. LMI Approach to H1 Control
  • 2.1 L1 norm and H1 norm of the systems
  • 2.1.1 L1 and H1 spaces
  • 2.1.2 Computing L1 and H1 norms
  • 2.2 Linear fractional transformations
  • 2.3 Redheffer star product
  • 2.4 Algebraic Riccati equations
  • 2.4.1 Solvability conditions for Riccati equations
  • 2.4.2 Discrete Riccati equation
  • 2.5 Bounded real lemma
  • 2.6 Small gain theorem
  • 2.7 LMI approach to H1 control
  • 2.7.1 Continuous-time H1 control
  • 2.7.2 Discrete-time H1 control
  • 2.8 Notes and references
  • 3. Analysis and Control of Positive Real Systems
  • 3.1 Positive real systems
  • 3.2 Positive real lemma
  • 3.3 LMI approach to control of SPR
  • 3.4 Relationship between SPR control and SBR control
  • 3.5 Multiplier design for SPR
  • 3.6 Notes and references
  • 4. Absolute Stability and Dichotomy of Lur'e Systems
  • 4.1 Circle criterion of SISO Lur'e systems
  • 4.2 Popov criterion of SISO Lur'e systems
  • 4.3 Aizerman and Kalman conjectures
  • 4.4 MIMO Lur'e systems
  • 4.5 Dichotomy of Lur'e systems
  • 4.6 Bounded derivative conditions
  • 4.7 Notes and references
  • 5. Pendulum-like Feedback Systems
  • 5.1 Several examples
  • 5.2 Pendulum-like feedback systems
  • 5.2.1 The first canonical form of pendulum-like feedback system
  • 5.2.2 The second canonical form of pendulum-like feed- back system
  • 5.2.3 The relationship between the 175;rst and the second forms of pendulum-like feedback systems
  • 5.3 Dichotomy of pendulum-like feedback systems
  • 5.3.1 Dichotomy of the second form of autonomous pendulum-like feedback systems
  • 5.3.2 Dichotomy of the first form of pendulum-like feed- back systems
  • 5.4 Gradient-like property of pendulum-like feedback systems
  • 5.4.1 Gradient-like property of the second form of pendulum-like feedback systems
  • 5.4.2 Gradient-like property of the first form of pendulum-like feedback systems
  • 5.5 Lagrange stability of pendulum-like feedback systems
  • 5.6 Bakaev stability of pendulum-like feedback systems
  • 5.7 Notes and references
  • 6. Controller Design for a Class of Pendulum-like Systems
  • 6.1 Controller design with dichotomy or gradient-like property
  • 6.1.1 Controller design with dichotomy
  • 6.1.2 Controller design with gradient-like property
  • 6.2 Controller design with Lagrange stability
  • 6.3 Notes and references
  • 7. Controller Designs for Systems with Input Nonlinearities
  • 7.1 Lagrange stabilizing for systems with input nonlinearities
  • 7.2 Bakaev stabilizing for systems with input nonlinearities
  • 7.3 Control for systems with input nonlinearities guaranteeing di.

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