×

zbMATH — the first resource for mathematics

Stabilization of time-delay systems containing saturating actuators. (English) Zbl 0636.93063
Summary: The problem of the stabilization of time-delay systems containing saturating actuators is considered. Two kinds of feedback stabilizing laws are treated: state feedback and sampled-state feedback. Several sufficient conditions are derived to guarantee the stability of the saturating time-delay system under control. Each of these results, expressed by a scalar inequality, permits us to assess the transient behaviour of the controlled system. The results presented enable a practical consideration of the unavoidable saturation of the actuators and give an insight into the stabilization analysis of saturating time- delay systems.

MSC:
93D15 Stabilization of systems by feedback
34K35 Control problems for functional-differential equations
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C57 Sampled-data control/observation systems
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] DOI: 10.1109/TAC.1986.1104106 · Zbl 0603.93036 · doi:10.1109/TAC.1986.1104106
[2] COPPEL W. A., Stability and Asymptotic Behaviour of Differential Equations (1965) · Zbl 0154.09301
[3] DESOER C. A., Feedback Systems: Input-Output Properties (1975) · Zbl 0327.93009
[4] DOI: 10.1109/TAC.1983.1103180 · Zbl 0518.93051 · doi:10.1109/TAC.1983.1103180
[5] DOI: 10.1109/TAC.1980.1102444 · Zbl 0493.93044 · doi:10.1109/TAC.1980.1102444
[6] DOI: 10.1109/TAC.1979.1102025 · Zbl 0399.93037 · doi:10.1109/TAC.1979.1102025
[7] DOI: 10.1080/00207178008922868 · doi:10.1080/00207178008922868
[8] DOI: 10.1109/TAC.1977.1101522 · Zbl 0354.93048 · doi:10.1109/TAC.1977.1101522
[9] DOI: 10.1109/TAC.1981.1102755 · Zbl 0544.93052 · doi:10.1109/TAC.1981.1102755
[10] DOI: 10.1109/TAC.1986.1104242 · Zbl 0597.93044 · doi:10.1109/TAC.1986.1104242
[11] DOI: 10.1109/TAC.1979.1102124 · Zbl 0425.93029 · doi:10.1109/TAC.1979.1102124
[12] DOI: 10.1109/TAC.1985.1103901 · Zbl 0557.93058 · doi:10.1109/TAC.1985.1103901
[13] DOI: 10.1080/00207178108922590 · Zbl 0471.93054 · doi:10.1080/00207178108922590
[14] DOI: 10.1016/0005-1098(83)90013-4 · Zbl 0544.93055 · doi:10.1016/0005-1098(83)90013-4
[15] DOI: 10.1080/0020718508961174 · Zbl 0566.93048 · doi:10.1080/0020718508961174
[16] DOI: 10.1080/00207178108922564 · Zbl 0471.93053 · doi:10.1080/00207178108922564
[17] DOI: 10.1080/00207178308933119 · Zbl 0528.93037 · doi:10.1080/00207178308933119
[18] DOI: 10.1080/00207178308933069 · Zbl 0511.93040 · doi:10.1080/00207178308933069
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.