Velocity-based
Methods for Divide and Conquer Analysis and Design of Nonlinear Systems
A linear system (the 'velocity-based linearisation') is associated with every operating point of a nonlinear system (not just the equilibrium points). A family of velocity-based linearisations is therefore associated with the nonlinear system. This family embodies the entire dynamics of the nonlinear system and so is an alternative representation. It is emphasised that this representation is valid globally and does not involve any restriction to the vicinity of the equilibrium points. Large transients and sustained non-equilibrium operation can both be accommodated.
Bibliography on
Velocity-based Methods and Applications
1996
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Appropriate Realisation of
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International Journal of Control, Volume 65, Issue 2, 1996, Pages 223-248.
D. J. Leith, W. E. Leithead.
Can an appropriate gain-scheduling
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UKACC International Conference on
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1997
D. J. Leith, W. E. Leithead.
Implementation of Wind Turbine
Controllers.
International Journal of Control, Volume 66, Issue 3, 1997, Pages 349-380.
D. J. Leith, W. E. Leithead.
Analysis of
gain-scheduled and nonlinear systems by velocity-based linearisation
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Proceedings
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D. J. Leith, W. E. Leithead.
Equivalence of
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class of commonly occurring plants.
Proceedings
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Pages: 430 – 431.
1998
D. J. Leith, W. E. Leithead.
Appropriate Realisation of MIMO Gain-Scheduled
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International Journal of Control, Volume 70, Issue 1, 1998, Pages 13-50.
D. J. Leith, W. E. Leithead.
Gain-Scheduled Controller Design: An
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International Journal of Control, Volume 70, Issue 2, 1998, Pages 249-269.
D. J. Leith, W. E. Leithead.
Gain Scheduled and Nonlinear Systems:
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International Journal of Control, Volume 70, Issue 2, 1998, Pages 289-317.
D. J. Leith, W. E. Leithead.
Comments on Gain Scheduling Dynamic Linear
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Automatica, Volume 34, Issue 8, 1998, Pages 1041-1043.
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The importance of implementation issues
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IEE
Colloquium on Integrated Systems in Aerospace
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1999
J. Kocijan, D. J. Murray-Smith.
Robust
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D. J. Leith, W. E. Leithead.
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D. J. Leith, W. E. Leithead.
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Proceedings of
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2000
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Proceedings of Controlo 2000: 4th Portuguese
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J. Kocijan, N.
Hvala, S. Strmčnik.
Multi-model
control of wastewater treatment reactor.
N. Mastorakis (edt.). System and control : theory and applications, (Electrical and computer engineering series). World Scientific and Engineering Society, 2000, Pages 49-54.
J. Kocijan, D. Vrančić.
Multiple
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on Artificial Intelligence in Real Time Control, AIRTC-2000, October 2-4, 2000,
J. Kocijan, G. Žunič, D.
Vrančić.
Fuzzy
gain-scheduling control of gas-liquid separation plant.
5th On-line World Conference on Soft Computing in Industrial Applications WSC5, September 4-18, 2000, Helsinki University of Technology, Cranfield University, Nagoya University. 2000, 8 pages.
D. J. Leith, W. E. Leithead.
An
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D. J. Leith, W. E. Leithead.
Survey
of Gain-Scheduling Analysis and Design.
International Journal of Control, Volume 73, Issue 11, 2000, Pages 1001-1025.
D. J. Leith, W. E. Leithead.
Gain-Scheduled
Control of a Skid-to-Turn Missile: Relaxing Slow Variation Requirements by
Velocity-Based Design.
Journal of Guidance, Dynamics and Control, Volume 23, Issue 6, 2000, Pages 988-1000.
D. J. Leith, W. E. Leithead.
On formulating nonlinear dynamics in LPV
form
Proceedings of the 39th IEEE Conference
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Nonlinear Identification using Local
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PhD Thesis, Queen’s
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devete Elektrotehniške in računalniške konference ERK 2000, 21. - 23. september
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2001
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Leithead.
Gain-Scheduled
Control of a Skid-to-Turn Missile: Relaxing Slow Variation Requirements by
Velocity-Based Design.
Proceedings of the 2001 American Control Conference, Volume 1, Issue , 2001 Pages 500 – 505.
D. J. Leith, W. E. Leithead.
Input-Output Linearisation
of Nonlinear Systems with Ill-Defined Relative Degree: The Ball and Beam
Revisited.
Proceedings of the 2001 American Control Conference, Volume 4, 2001 Pages:2811 – 2816.
D. J. Leith, W. E. Leithead.
Velocity-Based Gain-Scheduled Lateral
Auto-Pilot For An Agile Missile.
Control Engineering Practice, Volume 9, Issue 10, 2001, Pages 1079-1093.
S.C. McLoone, G.W. Irwin.
On nonlinear modelling using velocity-based
multiple model networks.
Proceedings
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4, 2001.
S.C. McLoone, G.W. Irwin,
S.F. McLoone.
Blending local models
within a velocity-based multiple model network.
Proc. IFAC Conf. on Emerging Computing Technologies,
S.C. McLoone, G.W. Irwin,
S.F. McLoone.
Constructing
networks of continuous-time velocity-based local models.
IEE Proc.on Control theory and Applications, Volume 148, Issue 5, 2001, Pages: 397-405.
A. Tsourdos, D.
J. Leith, W. E. Leithead, B. A. White.
A velocity-based framework for the robust stability analysis of dynamic
inversion flight controllers.
Proceedings of the A merican
Control Conference, 2001, Volume 5, 2001, Pages: 3341 –
3345
2002
F. Bruzelius, C. Breitholtz, S. Pettersson.
LPV-based
gain scheduling technique applied to a turbo fan engine model.
Proceedings of the 2002 International Conference on Control Applications, 2002, Volume 2, Pages 713 – 718.
B. Čokan, J. Kocijan.
Some realisation issue of fuzzy gain-scheduling controllers : a robotic manipulator case study.
[presented at the 6th On-line World
Conference on Soft Computing in Industrial Applications, September 10-24, 2001
on the Internet]. R. Roy (edt.). Soft computing
and industry : recent applications.
J. Kocijan, G. Žunič, S.
Strmčnik, D. Vrančić.
Fuzzy
gain-scheduling control of a gas-liquid separation plant implemented on a PLC.
International Journal of Control, Volume 75, Issue 14, 2002, Pages 1082-1091.
D. J. Leith, W.
Global
Reconstruction Of Nonlinear Systems From Families Of Linear Systems.
Preprints
of the 15th Triennial World Congress of the IFAC,
S.C. McLoone, G.W. Irwin,
S.F. McLoone.
On Gaussian Weighting Functions For Velocity-Based
Local Model Networks.
Irish Signals and Systems Conference, Cork, 24th-26th June 2002, Pages: 135-140.
S.C. McLoone, S. McGinnity, G.W. Irwin.
Comparison
of two construction algorithms for local model networks.
International Journal of Systems Science, Volume 33, Number 13, 2002 , Pages: 1059-1072.
R. H. Nyström, B. M. Åkesson, H. T. Toivonen.
Gain-Scheduling
Controllers Based on Velocity-Form Linear Parameter-Varying Models Applied to
an Example Process.
S. Peršin, B. Tovornik, N. Muškinja.
Detekcija napake na pretočnem grelniku s pomočjo
hitrostne linearizacije.
Zbornik enajste mednarodne Elektrotehniške in računalniške konference ERK 2002, Portorož, Volume A, Pages. 311-314.
Q. Rong,
On hidden coupling in multiple model based PID controller networks.
Preprints
of the 15th Triennial World Congress of the IFAC,
2003
M. Halas, M. Huba, K.
Žakova.
The exact velocity linearization method.
Proceedings of IFAC Conference Control Systems
Design '03, Bratislava, 2003, 7
pages.
D. J. Leith, W. E. Leithead.
Necessary
and Sufficient Conditions for the Minimal State-Space Realisation of Nonlinear
Systems from Input-Output Information.
Proceedings of the 2003 American Control Conference, Volume 4, 2003, Pages 2937 – 2942.
S.C. McLoone, G.W. Irwin.
On velocity-based local model networks for
nonlinear identification.
Asian Journal of Control, Volume 5, Issue 2, 2003, Pages: 309-315.
H. T. Toivonen.
State-dependent parameter models of non-linear sampled-data systems: a velocity-based linearization approach.
International Journal of Control, Volume 76, Issue 18, 2003, Pages 1823–1832.
H. T. Toivonen,
K. V. Sandström, R. H. Nyström.
Internal
model control of nonlinear systems described by velocity-based linearizations.
Journal of Process Control. Volume 13, Issue 3, 2003, Pages 215-224.
2004
J. L. Diez, J. L.
Navarro, A. Sala.
Control por Planificacion de Ganancia con Modelos
Borrosos.
Revista Iberoamericana de Automatica e Informatica. Volume 1, Issue 1, 2004, Pages 32-43.
R. Gao, A. O’Dwyer, S.
McLoone, E. Coyle.
State Feedback Integral Control by Velocity-Based
Multiple Model Networks.
Proceedings of the 2004 American Control Conference, 2004, Pages 2039 – 2044.
2005
B. M. Åkesson, H. T. Toivonen.
Identification of Quasi-ARMAX models of nonlinear stochastic sampled-data systems.
Preprints
of the 2005 IFAC World Congress,
B. M. Åkesson, H. T. Toivonen, J. B. Waller, R. H.
Nyström.
Neural network approximation of a nonlinear model
predictive controller applied to a pH neutralization process.
Computers & Chemical Engineering, Volume 29, Issue 2, 2003, Pages 323–335.
S. Persin, B. Tovornik.
Real-time implementation of fault diagnosis to a heat exchanger.
Control engineering practice. Volume 13, Issue 8, 2005, Pages 1061-1069.
2006
B. M. Åkesson, H. T. Toivonen.
State-dependent parameter modelling and identification of stochastic non-linear sampled-data systems.
Journal of Process Control, Volume 16, Issue 8, 2006, Pages 877-886.
K. Ažman, J. Kocijan.
An
application of Gaussian process models for control design.
International Control Conference (ICC2006) : Glasgow, Scotland, United Kingdom, 30th August to 1st September 2006, 2006, 6 pages.
S. Gerkšič, G. Dolanc, D. Vrančić, J. Kocijan,
S. Strmčnik, S. Blažič, I. Škrjanc, Z. Marinšek, M. Božiček, A.
Stathaki, R. E. King, M. B. Hadjiski, K. Boshnakov.
Advanced
control algorithms embedded in a programmable logic controller.
Control engineering practice. Volume 14, Issue 8, 2006, Pages 935-948.
2007
G. Bevan, S.J. O'Neill,
H. Gollee, J. O'Reilly.
Automatic lateral emergency collision avoidance
for a passenger car
International Journal of Control.
Volume 80, Issue 11, Pages 1751-1762.
G. Bevan, H. Gollee, J.
O'Reilly.
Performance comparison of collision avoidance
controller designs
2007 IEEE Intelligent
Vehicles Symposium, June 2007, Pages:
468 – 473.
J. Kocijan.
Mreže lokalnih modelov in zliti večmodelni
sistemi, Načrtovanje vodenja z razvrščanjem ojačenj.
Modeliranje dinamičnih sistemov z umetnimi
nevronskimi mrežami in sorodnimi metodami.
Univerza v Novi Gorici,
2007, Pages 51-72. (in Slovene).
2008
A. Santafe-Moros, J. L.
Diez, F. Barcelo-Rico, J. M. Gozalvez-Zafrilla.
Modelling, control and optimization of a
continuous distillation tower through
fuzzy techniques.
Proceedings of the 17th World Congress IFAC Seoul,
Korea, July 6-11, 2008, Pages
7052-7057.
2009
K. Ažman, J. Kocijan
Fixed-structure Gaussian process model.
International Journal of
Systems Science. Volume 40, Issue 12, Pages 1253–1262.
Software support
for Velocity-based methods and applications
Matlab
Velocity-based gain-scheduling demo
E-mail: jus[dot]kocijan[at]ijs[dot]si