Kwon, Wook Hyun; Lee, Gi Won; Kim, Sang Woo Performance improvement using time delays in multivariable controller design. (English) Zbl 0708.93024 Int. J. Control 52, No. 6, 1455-1473 (1990). Summary: A new controller for linear multivariable ordinary systems is suggested in which distributed delays are included in the feedback loop. A general design approach to obtain this type of controller is suggested. It is shown that the resulting closed-loop system is asymptotically stable under some sufficient conditions. Sufficient conditions are derived under which the disturbance attenuation, the robustness against parameter variations, and the time-delay stability margins are improved by the proposed controller. The state feedback tracking controller and the dual- state observer are obtained by modification of the proposed controller. Cited in 14 Documents MSC: 93B51 Design techniques (robust design, computer-aided design, etc.) 34K35 Control problems for functional-differential equations 93C05 Linear systems in control theory 93C35 Multivariable systems, multidimensional control systems 93C15 Control/observation systems governed by ordinary differential equations Keywords:distributed delays × Cite Format Result Cite Review PDF Full Text: DOI References: [1] DOI: 10.1109/TAC.1981.1102555 · Zbl 0462.93027 · doi:10.1109/TAC.1981.1102555 [2] DOI: 10.1109/TAC.1981.1102653 · Zbl 0477.93048 · doi:10.1109/TAC.1981.1102653 [3] Hale , J. , 1977 , Theory of Functional Differential Equations ( New York : Springer-Verlag), Chap. 5. · Zbl 0352.34001 [4] DOI: 10.1109/TAC.1972.1099894 · Zbl 0262.15015 · doi:10.1109/TAC.1972.1099894 [5] DOI: 10.1109/TAC.1977.1101522 · Zbl 0354.93048 · doi:10.1109/TAC.1977.1101522 [6] Kwong R. H., control, and observations. 18 pp 49– (1980) [7] Marshall J. E., Proceedings of the Institution of Electrical Engineers 129 pp 177– (1982) [8] DOI: 10.1109/TAC.1985.1104007 · Zbl 0555.93045 · doi:10.1109/TAC.1985.1104007 [9] DOI: 10.1016/0005-1098(83)90013-4 · Zbl 0544.93055 · doi:10.1016/0005-1098(83)90013-4 [10] DOI: 10.1109/TAC.1978.1101879 · Zbl 0399.93008 · doi:10.1109/TAC.1978.1101879 [11] Rudin O., I.E.E.E. Transactions on Industrial Electronics and Control Instrumentation 11 pp 39– (1976) [12] DOI: 10.1109/TAC.1979.1102024 · Zbl 0399.93023 · doi:10.1109/TAC.1979.1102024 [13] Swisher G. M., Proceedings of the American Control Conference pp 254– (1988) [14] Tallman G. H., IRE Transactions on Automatic Control 3 pp 125– (1958) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.