State dependent NGMV control of delayed piecewise affine systems

Y. Pang; M.J. Grimble

State dependent NGMV control of delayed piecewise affine systems

Y. Pang, M.J. Grimble

Electronic And Electrical Engineering

Research output: Contribution to conference › Paper

3 Citations (Scopus)

92 Downloads (Pure)

Abstract

A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of delayed piecewise affine (PWA) systems which are an important subclass of hybrid systems. Under some conditions, discrete-time PWA systems can be transferred into their equivalent state dependent nonlinear systems form. The equivalent state dependent systems that include reference and disturbances models are very general. The process is assumed to include common delays in input or output channels of magnitude k. Then the NGMV control strategy [16] can be applied. The NGMV controller is related to a well-known and accepted solution for time delay systems but has the advantage that it can stabilize open-loop unstable processes [17].

Original language	English
Pages	7194-7197
Number of pages	4
Publication status	Published - 6 Dec 2009
Event	Joint 48th IEEE Conference on Decision and Control and - Shanghai, China Duration: 6 Dec 2009 → 20 Dec 2009

Conference

Conference	Joint 48th IEEE Conference on Decision and Control and
Country/Territory	China
City	Shanghai
Period	6/12/09 → 20/12/09

Keywords

nonlinear generalized minimum variance
NGMV
PWA systems
piecewise affine
state dependent systems
delay
vectors
nonlinear dynamical systems
noise measurement
mathematical model
equations

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402149Submitted manuscript, 411 KB

INDUSTRIAL NON-LINEAR CONTROL AND REALTIME APPLICATIONS
Grimble, M., Katebi, R. & Ordys, A.
EPSRC (Engineering and Physical Sciences Research Council)
1/05/05 → 30/04/10
Project: Research
Improved Inverse Simulation using Nonlinear Predictive Methods
Grimble, M. & Ordys, A.
EPSRC (Engineering and Physical Sciences Research Council)
1/09/04 → 31/03/08
Project: Research

Cite this

@conference{43d833cc11e94e69b4b35153df0faae3,

title = "State dependent NGMV control of delayed piecewise affine systems",

abstract = "A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of delayed piecewise affine (PWA) systems which are an important subclass of hybrid systems. Under some conditions, discrete-time PWA systems can be transferred into their equivalent state dependent nonlinear systems form. The equivalent state dependent systems that include reference and disturbances models are very general. The process is assumed to include common delays in input or output channels of magnitude k. Then the NGMV control strategy [16] can be applied. The NGMV controller is related to a well-known and accepted solution for time delay systems but has the advantage that it can stabilize open-loop unstable processes [17].",

keywords = "nonlinear generalized minimum variance, NGMV, PWA systems , piecewise affine, state dependent systems, delay , vectors , nonlinear dynamical systems, noise measurement , mathematical model , equations ",

author = "Y. Pang and M.J. Grimble",

year = "2009",

month = dec,

day = "6",

language = "English",

pages = "7194--7197",

note = "Joint 48th IEEE Conference on Decision and Control and ; Conference date: 06-12-2009 Through 20-12-2009",

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TY - CONF

T1 - State dependent NGMV control of delayed piecewise affine systems

AU - Pang, Y.

AU - Grimble, M.J.

PY - 2009/12/6

Y1 - 2009/12/6

N2 - A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of delayed piecewise affine (PWA) systems which are an important subclass of hybrid systems. Under some conditions, discrete-time PWA systems can be transferred into their equivalent state dependent nonlinear systems form. The equivalent state dependent systems that include reference and disturbances models are very general. The process is assumed to include common delays in input or output channels of magnitude k. Then the NGMV control strategy [16] can be applied. The NGMV controller is related to a well-known and accepted solution for time delay systems but has the advantage that it can stabilize open-loop unstable processes [17].

AB - A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of delayed piecewise affine (PWA) systems which are an important subclass of hybrid systems. Under some conditions, discrete-time PWA systems can be transferred into their equivalent state dependent nonlinear systems form. The equivalent state dependent systems that include reference and disturbances models are very general. The process is assumed to include common delays in input or output channels of magnitude k. Then the NGMV control strategy [16] can be applied. The NGMV controller is related to a well-known and accepted solution for time delay systems but has the advantage that it can stabilize open-loop unstable processes [17].

KW - nonlinear generalized minimum variance

KW - NGMV

KW - PWA systems

KW - piecewise affine

KW - state dependent systems

KW - delay

KW - vectors

KW - nonlinear dynamical systems

KW - noise measurement

KW - mathematical model

KW - equations

M3 - Paper

SP - 7194

EP - 7197

T2 - Joint 48th IEEE Conference on Decision and Control and

Y2 - 6 December 2009 through 20 December 2009

ER -

State dependent NGMV control of delayed piecewise affine systems

Abstract

Conference

Keywords

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Projects

INDUSTRIAL NON-LINEAR CONTROL AND REALTIME APPLICATIONS

Improved Inverse Simulation using Nonlinear Predictive Methods

Cite this