Structural decomposition of linear multivariable systems using symbolic computations

International Journal of Control

Volumn 83, Issue 7, 2010, Pages 1414-1426

  Grip, Håvard Fjær ^a   Saberi, Ali ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b Washington State University   (United States)

Author keywords

finite zeros; geometry theory; infinite zeros; invertibility; linear systems theory; symbolic computations

Indexed keywords

INFINITE ZEROS; INTERNAL STRUCTURE; INVERTIBILITY; LINEAR MULTIVARIABLE SYSTEMS; LINEAR TIME INVARIANT SYSTEMS; LINEAR-SYSTEMS THEORY; MATHEMATICS SOFTWARE; NUMERICAL SOFTWARE; STRUCTURAL DECOMPOSITION; SYMBOLIC COMPUTATION;

COMPUTER SOFTWARE; INVARIANCE; LINEAR SYSTEMS; MULTIVARIABLE SYSTEMS; SYSTEM THEORY; TIME VARYING CONTROL SYSTEMS; WAVELET TRANSFORMS;

MATHEMATICAL TRANSFORMATIONS;

EID: 77954037781     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207171003758760     Document Type: Article

References (24)

1. Berg, M.C. (1998), 'Introduction to a Special Coordinate Basis for Multivariable Linear Systems', IEE Proceedings - Control Theory and Applications, 145, 204-210.
2. Canudas de Wit, C., and Lischinsky, P. (1997), 'Adaptive Friction Compensation with Partially Known Dynamic Friction Model', International Journal of Adaptive Control and Signal Processing, 11, 65-80. (Pubitemid 127559908)
3. ∞ Control, London: Springer.
4. Chen, B.M., Lin, Z., and Shamash, Y. (2004), Linear Systems Theory: A Structural Decomposition Approach, Boston: Birkhäuser.
5. Chen, B.M., Saberi, A., and Sannuti, P. (1992), 'Explicit Expressions for Cascade Factorisation of General Nonminimum Phase Systems', IEEE Transactions on Automatic Control, 37, 358-363. (Pubitemid 23579610)
6. Chu, D., Liu, X., and Tan, R.C.E. (2002), 'On the Numerical Computation of Structural Decomposition in Systems and Control', IEEE Transactions on Automatic Control, 47, 1786-1799. (Pubitemid 35422577)
7. Grip, H.F., and Saberi, A. (2010), 'Maple Source Code for Structural Decomposition of Linear Multivariable Systems, version 0.2, Available from: http://www.itk.ntnu.no/ansatte/Grip-Havard.Fjar/sw/scb.mpl.
8. Kiencke, U., and Nielsen, L. (2000), Automotive Control Systems, Berlin: Springer.
9. Liu, X., Chen, B.M., and Lin, Z. (2005), 'Linear Systems Toolkit in Matlab: Structural Decompositions and their Applications', Journal of Control Theory and Applications, 3, 287-294.
10. MacFarlane, A.G.J., and Karcanias, N. (1976), 'Poles and Zeros of Linear Multivariable Systems: A Survey of the Algebraic, Geometric and Complex-variable Theory', International Journal of Control, 24, 33-74.
11. Morse, A.S. (1973), 'Structural Invariants of Linear Multivariable Systems', SIAM Journal of Control, 11, 446-465.
12. Ozcetin, H.K., Saberi, A., and Sannuti, P. (1990), 'Special Coordinate Basis for Order Reduction of Linear Multivariable Systems', International Journal of Control, 52, 191-226. (Pubitemid 20708701)
13. Pacejka, H.B. (2006), Tire and Vehicle Dynamics (2nd ed.), Oxford: Butterworth-Heinemann.
14. Saberi, A., Chen, B.M., and Sannuti, P. (1991), 'Theory of LTR for Non-minimum Phase Systems, Recoverable Target Loops, and Recovery in a Subspace: Part 1. Analysis', International Journal of Control, 53, 1067-1115. (Pubitemid 21691059)
15. Saberi, A., Chen, B.M., and Sannuti, P. (1993), Loop Transfer Recovery: Analysis and Design, London: Springer.
16. Saberi, A., and Sannuti, P. (1990a), 'Squaring Down of Non-strictly Proper Systems', International Journal of Control, 51, 621-629. (Pubitemid 20674211)
17. Saberi, A., and Sannuti, P. (1990b), 'Observer Design for Loop Transfer Recovery and for Uncertain Dynamical Systems', IEEE Transactions on Automatic Control, 35, 878-897. (Pubitemid 20738737)
18. 2 Optimal Control, London, UK: Prentice Hall.
19. Saberi, A., Stoorvogel, A.A., and Sannuti, P. (2006), Filtering Theory, Boston: Birkhäuser.
20. Sannuti, P., and Saberi, A. (1987), 'Special Coordinate Basis for Multivariable Linear Systems - Finite and Infinite Zero Structure, Squaring Down and Decoupling', International Journal of Control, 45, 1655-1704. (Pubitemid 17598892)
21. Sastry, S., Hauser, J., and Kokotović, P. (1989), 'Zero Dynamics of Regularly Perturbed Systems may be Singularly Perturbed', Systems and Control Letters, 13, 299-314. (Pubitemid 20622346)
22. Silverman, L.M. (1969), 'Inversion of Multivariable Linear Systems', IEEE Transactions on Automatic Control, 14, 270-276.
23. Trentelman, H.L., Stoorvogel, A.A., and Hautus, M. (2001), Control Theory for Linear Systems, London: Springer.
24. Wonham, W.M. (1979), Linear Multivariable Control: A Geometric Approach (2nd ed.), London: Springer-Verlag.