Stabilisation of Nonlinear Systems
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Stabilisation of Nonlinear Systems: The Piecewise Linear Approach(No. 1 CSI: Control & Signal/Image Processing S.)

Stabilisation of Nonlinear Systems: The Piecewise Linear Approach(No. 1 CSI: Control & Signal/Image Processing S.)


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About the Book

Table of Contents:
Preface, Notation, Chapter 1: Introduction; Hybrid and Piecewise Linear dynamical systems in control; Lyapunov functions for stability analysis and design; Stabilisation of Piecewise Linear systems using Lyapunov ideas; Layout of the book. Chapter 2: Background theory; PL systems and their properties; PL modelling of nonlinear systems; Lyapunov functions in control theory; The robust stabilisation problem; PL Lyapunov functions and their applications; Controllable region estimation and constrained stabilisation; Summary. Chapter 3: Robust stabilisation of Orthogonal Piecewise Linear Systems; Introduction; The OPL framework; Multiple Lyapunov functions; LP and RP Lyapunov functions; Stabilisation of OPL systems; Implementation and computational complexity; An illustrative example; Robustness analysis and design; Examples; Discussions; Proofs. Chapter 4: Stabilisation of Conic Piecewise Linear Systems; Introduction; The CPL class; Control synthesis and implementation; Examples; Conclusion. Chapter 5: The ray-gridding approach for constrained stabilisation: planar case; Introduction; The ray-gridding approach; Application to constrained stabilisation; Conclusion; Proofs and additional details. Chapter 6: Extensions of the ray-gridding approach; Introduction; Extension to linear uncertain systems - planar case; Extension to PL uncertain systems - planar case; Conclusions; Proofs and additional details; Convex hull computations. Chapter 7: PL optimal control; Introduction; An Iterative Feedback Tuning (IFT) method; Calculating upper and lower bounds to the optimal control; Conclusions. Chapter 8: Future research directions. Bibliography; Index.


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Product Details
  • ISBN-13: 9780863802669
  • Publisher: Research Studies Press
  • Publisher Imprint: Research Studies Press
  • Height: 230 mm
  • Sub Title: The Piecewise Linear Approach
  • ISBN-10: 0863802664
  • Publisher Date: 08 Jan 2003
  • Binding: Hardback
  • Series Title: No. 1 CSI: Control & Signal/Image Processing S.
  • Weight: 496 gr


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