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• W2092339975 abstract "Abstract Attenuating both exogenous signals and initial disturbances caused by unknown initial conditions and estimating the state of a system using the past measurements are considered in the framework of a so called H ∞ problem with transients. Applying an LMI approach, instead of the Riccati equations one, in characterizing the performance measure that is the worst-case norm of the regulated output or the output to be estimated over all exogenous signals and initial states allows one to synthesize time-invariant, instead of the time-varying, filters and output-feedback controllers for which the performance measure of the closed-loop system is less than a prescribed number. Necessary and sufficient condition in the form of a fundamental inequality for the weighting matrix is obtained under which the trade-off between filtering or control in the H ∞ setting, being optimal under unknown exogenous disturbances and zero initial state, and linear-quadratic (LQ) filtering or control, being optimal under zero exogenous signal and unknown initial conditions, is possible. These results can be used as a methodology basis in studying H ∞ control and filtering theory." @default.
• W2092339975 created "2016-06-24" @default.
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• W2092339975 date "2012-01-01" @default.
• W2092339975 modified "2023-09-25" @default.
• W2092339975 title "LMI based time-invariant observers and controllers in H∞ problems with transients*" @default.
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• W2092339975 doi "https://doi.org/10.3182/20120619-3-ru-2024.00066" @default.
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