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RESEARCH PRODUCT
Time delay induced effects on control of linear systems under random excitation
Antonina PirrottaM. Di Paolasubject
State variableMechanical EngineeringLinear systemApproximation theoryRecursive functionAerospace EngineeringOcean EngineeringStatistical and Nonlinear PhysicsWhite noiseVariance (accounting)White noiseCondensed Matter Physicssymbols.namesakeNuclear Energy and EngineeringControl theoryControl systemTaylor seriessymbolsDelay circuitExcitationCivil and Structural EngineeringMathematicsGroup delay and phase delayElectric excitationdescription
Recursive formulas in terms of statistics of the response of linear systems with time delay under normal white noise input are developed. Two alternative methods are presented, in order to capture the time delay effects. The first is given in an approximate solution obtained by expanding the control force in a Taylor series. The second, available for the stationary solution (if it exists) gets the variance of the controlled system, with time delay in an analytical form. The efficacy loss in terms of statistics of the response is discussed in detail.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-01-01 |