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NGMV Control of Delayed Piecewise Affine Systems

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2 Author(s)
Yan Pang ; State Key Lab. of Struct. Anal. for Ind. Equip., Dalian Univ. of Technol., Dalian, China ; Grimble, M.J.

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 . Then the NGMV control strategy 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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:55 ,  Issue: 12 )