In:
Transactions of the Institute of Measurement and Control, SAGE Publications, Vol. 24, No. 5 ( 2002-12), p. 417-430
Abstract:
Guaranteed cost control problems for discrete-time systems with uncertainties and time delays are addressed in this paper. The delays may simultaneously appear not only in the state, but in control input and measurement output. Also, parametric uncertainties may exist in all system matrices of the systems considered in this paper. First, a new linear matrix inequality (LMI)-based approach is developed to construct dynamic guaranteed cost controllers for delay systems without uncertainties. Then this result is extended to discrete-time delay systems with uncertainties in linear fractional form in all system matrices. The solvability of these robust control problems for uncertain delay systems can be reduced to that for certain auxiliary systems without uncertainty. Numerical examples are provided to show the effectiveness of our approach.
Type of Medium:
Online Resource
ISSN:
0142-3312
,
1477-0369
DOI:
10.1191/0142331202tm064oa
Language:
English
Publisher:
SAGE Publications
Publication Date:
2002
detail.hit.zdb_id:
2025882-3
SSG:
3,2
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