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Recent trends in sliding mode control /

This book describes recent advances in the theory, properties, methods and applications of SMC, including a discussion about the advantages and disadvantages of different SMC algorithms.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Fridman, Leonid (Editor ), Barbot, Jean Pierre, 1958- (Editor ), Plestan, Franck (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Stevenage, Herts, United Kingdom : The Institute of Engineering and Technology, 2016.
Colección:IEE control engineering series ; 102.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; Acknowledgments; List of contributors; Section 1
  • Novel sliding mode algorithms; 1.1
  • Lyapunov approach to higher-order sliding mode design; Abstract; 1.1.1
  • Introduction; 1.1.2
  • Basic mathematical tools; 1.1.3
  • The standard HOSMC problem; 1.1.4
  • Homogeneous HOSMC design by using CLFs; 1.1.5
  • Two r-homogeneous CLFs; 1.1.6
  • Differences with the classical families of HOSMCs; 1.1.7
  • Gain tuning; 1.1.8
  • An academic example; 1.1.9
  • Conclusions; 1.1.10
  • Explicit expressions for i−1; Acknowledgments; References.
  • 1.2
  • Sliding surface design for higher-order sliding modesAbstract; 1.2.1
  • Introduction; 1.2.2
  • Problem statement; 1.2.3
  • Preliminaries; 1.2.4
  • Pole placement; 1.2.5
  • Singular LQR; 1.2.6
  • Conclusions; Acknowledgment; References; 1.3 Robust output control of systems subjected to perturbations via high-order sliding modes observation and identification; Abstract; 1.3.1
  • Introduction; 1.3.2
  • Notation; 1.3.3
  • Problem statement; 1.3.4
  • HOSM observer; 1.3.5
  • Control of systems affected by matched perturbations; 1.3.6
  • Control of systems affected by unmatched perturbations.
  • 1.3.7
  • ConclusionsReferences; 1.4
  • Construction of Lyapunov functions for high-order sliding modes; Abstract; 1.4.1
  • Introduction; 1.4.2
  • Trajectory integration method; 1.4.3
  • Variable reduction method; 1.4.4
  • Generalized forms approach; 1.4.5
  • Conclusions; Acknowledgment; References; Section 2
  • Properties of sliding mode algorithms; 2.1
  • Homogeneity of differential inclusions; Abstract; 2.1.1
  • Introduction; 2.1.2
  • Preliminaries; 2.1.3
  • Homogeneous DIs; 2.1.4
  • Qualitative results on homogeneous discontinuous systems; 2.1.5
  • Conclusion; References.
  • 2.2
  • Minimax observer for sliding mode control designAbstract; 2.2.1
  • Introduction; 2.2.2
  • Notation; 2.2.3
  • Problem statement; 2.2.4
  • Min-max optimal state observer design; 2.2.5
  • Control design; 2.2.6
  • Numerical simulations; 2.2.7
  • Conclusion; References; 2.3
  • L2-Gain analysis of sliding mode dynamics; Abstract; 2.3.1
  • Introduction; 2.3.2
  • Generic L2-gain analysis; 2.3.3
  • A case study: first order SM dynamics; 2.3.4
  • A case study: second order SM dynamics; References; 2.4
  • Analysis of transient motions in variable-structure systems through the dynamic harmonic balance principle.
  • Abstract2.4.1
  • Introduction; 2.4.2
  • Transient oscillations in Lur'es systems; 2.4.3
  • Motions in the vicinity of a periodic solution; 2.4.4
  • DHB accounting for frequency rate of change (full DHB); 2.4.5
  • Analysis of transient motions of rocking block through DHB; 2.4.6
  • Analysis of asymptotic second-order SM system using DHB principle; 2.4.7
  • Conclusions; References; Section 3
  • Discretization of sliding-mode controllers; 3.1
  • On discretization of high-order sliding modes; Abstract; 3.1.1
  • Introduction; 3.1.2
  • Preliminaries: sliding order and SM accuracy.
  • 3.1.3
  • Accuracy of homogeneous differential inclusions.