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Control and Estimation of Piecewise Affine Systems

  • 1st Edition - March 28, 2014
  • Authors: Jun Xu, Lihua Xie
  • Language: English
  • Hardback ISBN:
    9 7 8 - 1 - 7 8 2 4 2 - 1 6 1 - 0
  • eBook ISBN:
    9 7 8 - 1 - 7 8 2 4 2 - 1 6 2 - 7

As a powerful tool to study nonlinear systems and hybrid systems, piecewise affine (PWA) systems have been widely applied to mechanical systems. Control and Estimation of Piece… Read more

Control and Estimation of Piecewise Affine Systems

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As a powerful tool to study nonlinear systems and hybrid systems, piecewise affine (PWA) systems have been widely applied to mechanical systems. Control and Estimation of Piecewise Affine Systems presents several research findings relating to the control and estimation of PWA systems in one unified view.

Chapters in this title discuss stability results of PWA systems, using piecewise quadratic Lyapunov functions and piecewise homogeneous polynomial Lyapunov functions. Explicit necessary and sufficient conditions for the controllability and reachability of a class of PWA systems are considered along with controller and estimator design methods for PWA systems using linear matrix inequality (LMI) and bilinear matrix inequality (BMI) techniques. A PWA approach to a class of Takagi-Sugeno fuzzy system is discussed in depth. The book uses a number of mechanical systems, such as disk servo systems to illustrate the advantages of the proposed methods.