NGMV control of delayed piecewise affine systems

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Abstract

A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of piecewise affine (PWA) systems. Under some conditions, discrete-time PWA systems can be transferred into an equivalent state-dependent nonlinear system form. The equivalent state-dependent systems maintain the hybrid nature of the original PWA systems and include both the discrete and continuous signals in one general description. In a more general way, the process is assumed to include common delays in input or output channels of magnitude k. Then the NGMV control strategy [1] can be applied. The NGMV controller is related to a well-known and accepted solution for time delay systems (Smith Predictor) but has the advantage that it may stabilize open-loop unstable processes [2].
Original languageEnglish
Pages (from-to)2817-2821
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume55
Issue number12
DOIs
Publication statusPublished - 1 Dec 2010

Keywords

  • NGMV control
  • PWA systems
  • state-dependent systems

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