Constrained minimum variance control of nonsquare LTI MIMO systems

2010 15th International Conference on Methods and Models in Automation and Robotics, MMAR 2010

Volumn , Issue , 2010, Pages 365-370

  Hunek, Wojciech P ^a   Latawiec, Krzysztof J ^a   Łukaniszyn, Marian ^a   Gawdzik, Andrzej ^a,b  

^a OPOLE UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF OPOLE   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPLICATION AREA; CONSTRAINED CONTROLS; CONSTRAINED MINIMUM VARIANCES; CONTROL STRATEGIES; GENERALIZED MINIMUM VARIANCE CONTROL;

DECODING; MIMO SYSTEMS;

ROBOTICS;

EID: 78049469381     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/MMAR.2010.5587205     Document Type: Conference Paper

References (24)

1. W. P. Hunek, "Towards robust minimum variance control of nonsquare LTI MIMO systems," Archives of Control Sciences, vol. 18, no. 1, pp. 59-71, 2008.
2. -, "A new general class of MVC-related inverses of nonsquare polynomial matrices based on the Smith factorization," in Proceedings of the 14th IEEE IFAC International Conference on Methods and Models in Automation and Robotics (MMAR'2009), Miȩdzyzdroje, Poland, 2009, Proceedings CD.
3. K. J. Latawiec, The Power of Inverse Systems in Linear and Nonlinear Modeling and Control. Opole: Opole University of Technology Press, 2004.
4. K. J. Latawiec, W. P. Hunek, and M. Łukaniszyn, "New optimal solvers of MVC-related linear matrix polynomial equations," in Proceedings of the 11th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR'2005), Miȩdzyzdroje, Poland, 2005, pp. 333-338.
5. K. J. Latawiec, Contributions to Advanced Control and Estimation for Linear Discrete-Time MIMO Systems. Opole: Opole University of Technology Press, 1998.
6. K. J. Latawiec, S. Bańka, and J. Tokarzewski, "Control zeros and nonminimum phase LTI MIMO systems," Annual Reviews in Control, vol. 24, pp. 105-112, 2000, DOI: 10.1016/S1367-5788(00)90021-X.
7. K. J. Latawiec, W. P. Hunek, and M. Łukaniszyn, "A new type of control zeros for LTI MIMO systems," in Proceedings of the 10th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR'2004), Miȩdzyzdroje, Poland, 2004, pp. 251-256.
8. K. J. Latawiec and W. P. Hunek, "Control zeros for continuous-time LTI MIMO systems," in Proceedings of the 8th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR'2002), Szczecin, Poland, 2002, pp. 411-416.
9. K. J. Latawiec, W. P. Hunek, R. Stanisławski, and M. Łukaniszyn, "Control zeros versus transmission zeros intriguingly revisited," in Proceedings of the 9th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR'2003), Miȩdzyzdroje, Poland, 2003, pp. 449-454.
10. W. P. Hunek, "Towards robust pole-free designs of minimum variance control for LTI MIMO systems," in Recent advances in Control Systems, Robotics and Automation - Third edition, Volume 1, ISBN: 978-88- 901928-6-9, S. Pennacchio, Ed. Palermo, Italy: International Society for Advanced Research, 2009, pp. 168-174.
11. W. P. Hunek, K. J. Latawiec, and R. Stanisławski, "New results in control zeros vs. transmission zeros for LTI MIMO systems," in Proceedings of the 13th IEEE IFAC International Conference on Methods and Models in Automation and Robotics (MMAR'2007), Szczecin, Poland, 2007, pp. 149-153.
12. W. P. Hunek, K. J. Latawiec, and M. Łukaniszyn, "An inverse-free approach to minimum variance control of LTI MIMO systems," in Proceedings of the 12th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR'2006), Miȩdzyzdroje, Poland, 2006, pp. 373-378.
13. W. P. Hunek, "A robust approach to minimum variance control of LTI MIMO systems," in Emerging Technologies, Robotics and Control Systems, S. Pennacchio, Ed. Palermo, Italy: InternationalSAR, 2007, vol. 2, pp. 133-138.
14. E. Davison, "Some properties of minimum phase systems and 'squared-down' systems," IEEE Transactions on Automatic Control, vol. 28, no. 2, pp. 221-222, 1983.
15. D. W. Clarke and P. J. Gawthrop, "Self-tuning controller," Proceedings IEE, vol. 122, no. 9, pp. 929-934, 1975, DOI: 10.1049/piee.1975. 0252.
16. -, "Self-tuning control," Proceedings IEE, vol. 126, no. 6, pp. 633-640, 1979, DOI: 10.1049/piee.1979.0145.
17. H. H. Rosenbrock, State-space and Multivariable Theory. New York: Nelson-Wiley, 1970.
18. W. A. Wolowich, Linear Multivariable Systems. New York: Springer-Verlag, 1974.
19. C. A. Desoer and J. D. Schulman, "Zeros and poles of matrix transfer functions and their dynamical interpretation," IEEE Transactions on Circuits and Systems, vol. 21, no. 1, pp. 3-8, 1974.
20. T. Kaczorek, A. Dzieliński, W. Da̧browski, and R. Łopatka, Fundamentals of Control Theory (in Polish), 3rd ed. Warsaw: Wydawnictwa Naukowo-Techniczne WNT, 2009.
21. J. Tokarzewski, Zeros in Linear Systems: a Geometric Approach. Warsaw: Warsaw University of Technology Press, 2002.
22. -, "A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy," International Journal of Applied Mathematics and Computer Science, vol. 14, no. 2, pp. 149-159, 2004.
23. W. P. Hunek and K. J. Latawiec, "Minimum variance control of discrete-time and continuous-time LTI MIMO systems - a new unified framework," Control and Cybernetics, vol. 38, no. 3, pp. 609-624, 2009.
24. K. J. Latawiec, "Control zeros and maximum-accuracy/maximum-speed control of LTI MIMO discrete-time systems," Control and Cybernetics, vol. 34, no. 2, pp. 453-475, 2005.