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Positive Real Control

  • Shengyuan Xu
  • James Lam
Chapter
Part of the Lecture Notes in Control and Information Science book series (LNCIS, volume 332)

Abstract

The notion of positive realness has played an important role in control and system theory [5, 70, 167]. A well-known fact in robust and nonlinear control is that the positive realness of a certain loop transfer function will guarantee the overall stability of a feedback system if uncertainty or nonlinearity can be characterized by a positive real system [167]. This has motivated the study of the positive real control problem. In the context of state-space systems, results on positive real control can be found in [153, 175], and the references therein.

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Authors and Affiliations

  • Shengyuan Xu
    • 1
  • James Lam
    • 2
  1. 1.Department of Automation Nanjing University of Science and Technology, Nanjing 210094P. R. China
  2. 2.Department of Mechanical Engineering, The University of Hong Kong, 7/F Haking Wong Building, Pokfulam Road, Hong KongP. R. China

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