NGMV Control of Delayed Piecewise Affine Systems

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 main...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2010-12, Vol.55 (12), p.2817-2821
Main Authors: Yan Pang, Grimble, Michael John
Format: Article
Language:English
Subjects:
Applied sciences
Automatic control
Channels
Computer science
control theory
systems
Control system synthesis
Control systems
Control theory. Systems
Delay
Dynamical systems
Equations
Equivalence
Exact sciences and technology
Mathematical model
Noise measurement
Nonlinear dynamical systems
Nonlinear generalized minimum variance (NGMV) control
piecewise affine (PWA) systems
state-dependent systems
Strategy
Time delay systems
Vectors
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Description
Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2010.2069810