An upper stability bound for singularly-perturbed delta-operator formulated discrete-time systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2002, Pages 2927-2928

  Schwartz, Charles ^a   Haddad, Abraham H ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; LINEARIZATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA;

CONTINUOUS TIME SYSTEMS; SHIFT OPERATOR FORMULATION; SINGULARLY PERTURBED DELTA OPERATOR; UPPER STABILITY BOUND;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0036995867     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. T. S. Li et al., Stability bounds of singularly perturbed discrete-time systems. IEEE Transactions on Automatic Control, 44(10):1934-1938, 1999.
2. R. H. Middleton and G. C. Goodwin. Digital Control and Estimation: A Unified Approach. Prentice-Hall, 1990.
3. P. Kokotovic H. K. Khalil and J. O'Reilly. Singular Perturbation Methods in Control. Academic Press, 1986.
4. H. Kando and T. Iwazumi. Multirate digital control design of an optimal regulator via singular perturbation theory. International Journal of Control, 44(6):1555-1578, 1986.
5. T. Mori and H. Kokame. A note on the stability of delta-operator-induced systems. IEEE Transactions on Automatic Control, 45(10):1885-1886, 2000.
6. K. Shim and E.M. Sawan. LQ design for two-time-scale systems by unified approach using delta operators. In Proceedings of the American Control Conference, 1998.
7. S. Sen and K.B. Datta. Stability bounds of singularity perturbed systems. IEEE Transactions on Automatic Control, 38(2):302-304, 1993.
8. A. T. Fuller. Conditions for a matrix to have only characteristic roots with negative real parts. Journal of Mathematical Analysis and Applications, 23(1):71-98, 1968.
9. A. Tesi and A. Vincio. Robust stability of state-space models with structured uncertainties. IEEE Transactions on Automatic Control, 35(2):191-195, 1990.