Output stabilization of a class of second-order linear time-delay systems: An eigenvalue approach |
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| Authors: | Shu-An He I-Kong Fong |
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| Institution: | 1. Department of Mathematics, Baylor University, One Bear Place #97328, Waco, TX 76798-7328, USA;2. Department of Mathematics, The University of Tennessee at Chattanooga, 415 EMCS Building, Dept. 6956, 615 McCallie Ave, Chattanooga, TN 37403, USA;1. BCAM – Basque Center for Applied Mathematics, Mazarredo 14, 48009 Bilbao, Basque Country, Spain;2. Institut Elie Cartan, UMR 7502 UdL/CNRS/INRIA, B.P. 70239, 54506 Vand?uvre-lès-Nancy Cedex, France;3. Ikerbasque – Basque Foundation for Science, Alameda Urquijo 36-5, Plaza Bizkaia, 48011 Bilbao, Basque Country, Spain;1. Laboratório Nacional de Computação Científica, Petrópolis, RJ, Brazil;2. Departamento de Ingeniería Matemática, CMCC, Universidad de La Frontera, Temuco, Chile;1. LAAS-CNRS, Univ de Toulouse, CNRS, ISAE, UPS, 7 Avenue du Colonel Roche, F-31400 Toulouse, France;2. University of California, Computer Engineering Department, Santa Cruz, CA 95064, USA |
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| Abstract: | This paper studies linear time-invariant systems with an input delay and two repeated or distinct real poles. The closed-loop system eigenvalue-loci with respect to the output feedback controller gain are investigated by using the Lambert function and root-locus construction techniques. Output feedback stabilization conditions and stability robustness with respect to the delay time uncertainty are established. Also, the response performance is discussed. Three examples and related simulations are presented to illustrate the analysis results. |
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