Limitations imposed by RHP zeros/poles in multivariable systems

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 3071-3076

  Havre, K ^a   Skogestad, S ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Achievable H performance; Multivariable systems; RHP zeros and poles; Stabilization; System theory

Indexed keywords

DISTURBANCE REJECTION; POLES; STABILIZATION; SYSTEM THEORY;

LOWER BOUNDS; MATRIX-VALUED; MULTIVARIABLE FEEDBACK SYSTEMS; PRESENCE OF MEASUREMENT NOISE; REFERENCE-TRACKING; RIGHT HALF PLANE ZERO;

MULTIVARIABLE SYSTEMS;

EID: 84949094840     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082580     Document Type: Conference Paper

References (12)

1. Bode, H. W. (1945). Network Analysis and Feedback Amplifier Design, D. Van Nostrand Co., New York.
2. Boyd, S. and Desoer, C. A. (1985). Subharmonic functions and performance bounds in linear time-invariant feedback systems, IMA J. Math. Contr. and Info. 2:153-170.
3. Chen, J. (1995). Sensitivity integral relations and design trade-offs in linear multivariable feedback systems, IEEE Transactions on Automatic Control AC-40(10):1700-1716.
4. Havre, K. and Skogestad, S. (1996a). Directions and factorizations of zeros and poles in multivariable systems. Internal report, Norwegian University of Science and Technology, Trondheim.
5. Havre, K. and Skogestad, S. (1996b). Effect of Rhp zeros and poles on performance in multivariable systems, Proc.from Control'96, University of Exeter, UK, pp. 930-935. Also submitted to Journal of Process Control.
6. Havre, K. and Skogestad, S. (1996c). Selection of variables for regulatory control using pole directions. AIChE Annual meeting, Chicago 10-14 Nov., 1996, Paper 45f.
7. MacFarlane, A. G. J. and Karcanias, N. (1976). Poles and zeros of linear multivariable systems: A survey of algebraic, geometric and complex variable theory, International Journal of Control 24:33-74.
8. Rosenbrock, H. H. (1966). On the design of linear multivariable systems, Third IFAC World Congress. Paper 1A.
9. Rosenbrock, H. H. (1970). State-space and Multivariable Theory, Nelson, London.
10. Skogestad, S. and Postlethwaite, I. (1996). Multivariable Feedback Control, Analysis and Design, John Wiley & Sons, Chichester.
11. Zames, G. (1981). Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms, and approximate inverses, IEEE Transactions on Automatic Control AC-26(2):301-320.
12. Internal reports and MATLAB-software to compute the bounds in Theorem 1 are available on the internet, see http://www.kjemi.unit.no/~ skoge.