Stabilizing solutions to output feedback pole placement...

Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression

Reexamination Certificate

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

C700S028000

Reexamination Certificate

active

07840392

ABSTRACT:
Output feedback pole placement problems with parameter drift are solved with stabilizing solutions. Changes in system parameters trigger alerts in an automated manner. A representative method includes determining a set of solutions for an output feed pole placement problem, based on parameters of a physical system. The solutions are stable and well-conditioned for monitoring changes to the parameters of the physical system. The physical system is adjusted, or controlled, based on the solutions determined. Updated parameters of the physical system are acquired. A set of updated solutions for the output feedback pole placement problem are determined based on the updated parameters. The physical system is then adjusted, or controlled, based on the updated solutions determined. A system manager may also be notified of the updated parameters and/or the updated solutions. Furthermore, changes within the system may be monitored, and/or potentially critical changes within the system may be detected.

REFERENCES:
patent: 2002/0156541 (2002-10-01), Yutkowitz
A. Varga, “A numerically reliable approach to robust pole assignment for descriptor systems”, 2003, Future Generation Computer Systems, vol. 19, pp. 1221-1230.
J. Lam et al., “Solution of robust pole-placement problem via gradient flow”, 1994, Proceedings of the American Control Conference, pp. 2360-2364.
Nicholas J. Higham et al., “The sensitivity of computational control problems”, Feb. 2004, IEEE Control Systems Magazine, pp. 28-43.
Volker Mehrmann et al., “Choosing Poles So That the Single-Input Pole Placement Problem Is Well Conditioned”, 1998, SIAM Journal on Matrix Analysis and Applications, vol. 19, issue 3, pp. 1-20.
Kaiyang Yang et al., “A projective algorithm for static output feedback stabilization,” Proceedings of the 2ndIFAC Symposium on System, Structure, and Control, Oaxaca, Mexico, 2004.
V. Blondel et al., “Survey on the state of systems and control,” European Journal of Control, 1995 (also, Inria Report No. 2749, Jan. 1995).
James v. Burke et al., “A robust gradient sampling algorithm for nonsmooth, nonconvex optimization,” SIAM Journal on Optimization, vol. 15, Issue 3, pp. 751-779, Jun. 8, 2004.
Laurent El Ghaoul et al., “A cone complementarity linearization algorithm for static output-feedback and related problems,” IEEE Transactions on Automatic Control, vol. 42, No. 8, 1997, pp. 1171-1176 (originally Oct. 18, 1996).
Kaiyang Yang et al., “Pole placement via output feedback: a methodology based on projections,” In Proceedings of the 16thIFAC World Congress, Prague, Czech Republic, 2005.
Frank Sottile, “The conjecture of Shapiro and Shapiro,” http://www.math.univ-rennes1.fr/geomreel/raag01/surveys/shapiro/index.html, Apr. 17, 2000.
V.L. Syrmos et al., “Static output feedback: a survey,” UNM Technical Report EECE95-008, Sep. 14, 1995 (also, Automatica, vol. 33, No. 2, pp. 125-137, year 1997).
Mauricio C. de Oliveira et al., “Numerical comparison of output feedback design methods,” Proceedings of the American Control Conference, New Mexico, Jun. 1997, pp. 72-76, 1997.
A. Eremenko et al., “Pole placement by static output feedback for generic linear systems,” SIAM Journal of Control and Optimization, vol. 41, No. 1, pp. 303-312, (2002).
Joachim Rosenthal et al., “Some remarks on real and complex output feedback,” System and Control Letters, vol. 33, pp. 73-80, 1996 (originally May 30, 1997).
Joachim Rosenthal et al., “Open problems in the area of pole placement,” in V.D. Blondel et al., eds., “Open problems in mathematical systems and control theory,” chapter 37, pp. 181-191, Springer Verlag, 1998.
Charles L. Lawson et al., Solving least square problems, first published 1974, currently published 1995, pp. 110-117.
Gene H. Golub et al., Matrix computations (second edition), copyright 1989, pp. 365-366.
Karl J. Astrom and Bjorn Wittenmark, “Adaptive Control”, second edition, 1995, Addison Wesley Longman, pp. 1-5, 92, 331, 358, 366.
Philip E. Gill et al., “Practical Optimization”, 1989, Academic Press, pp. 207-211.
Christos H. Papadimitriou and Kenneth Steiglitz, “Combinatiorial Optimization: Algorithms and Complexity”, 1982, Prentice-Hall,pp. 454-455.
Samuel H. Brooks, “A discussion of Random Methods for Seeking Maxima”, 1958, Operations Research, vol. 6, No. 2, pp. 244-251.
David Kincaid and Ward Cheney, “Numerical Analysis Mathematics of Scientific Computing”, 1991, Brooks/Cole Publishing Company, pp. 52, 161-167, 181-189.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Stabilizing solutions to output feedback pole placement... does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Stabilizing solutions to output feedback pole placement..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stabilizing solutions to output feedback pole placement... will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-4162901

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.