Matches in SemOpenAlex for { <https://semopenalex.org/work/W4367314692> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W4367314692 abstract "Abstract We consider the linear quadratic regulator (LQR) for linear constant-coefficient delay differential equations (DDEs) with multiple delays. The Hamiltonian approach is used instead of an algebraic Riccati partial differential equation. Two coupled DDEs governing the state and control input are derived using the calculus of variations. This coupled system, with infinitely many roots in both left and right half-planes, defines a boundary value problem. Its left half-plane roots are the exact closed-loop poles of the controlled system. These closed-loop poles have not been used to compute the optimal feedback before. Here, the distributed delay kernel that yields exactly those poles is first computed using an eigenfunction expansion. Increasing the number of terms in the truncated expansion yields a highly oscillatory kernel. However, the oscillatory kernel's antiderivative converges to a piecewise smooth function on the delay interval plus a Dirac delta function at zero. Discontinuities in the kernel coincide with discrete delay values in the original DDE. Using this insight, a fitted piecewise polynomial kernel matches the exact closed-loop poles very well. The twofold contribution of the Hamiltonian approach is thus clarity on the form of the feedback kernel as well as the exact closed-loop poles. Subsequently, the fitted piecewise polynomial kernel can be used for a much simpler control calculation. The polynomial coefficients can be fitted by solving a few simultaneous linear equations. Two detailed numerical examples of the LQR for DDEs, one with two delays and one with three delays, show excellent results." @default.
- W4367314692 created "2023-04-29" @default.
- W4367314692 creator A5007053875 @default.
- W4367314692 creator A5020129235 @default.
- W4367314692 creator A5085403521 @default.
- W4367314692 date "2023-05-25" @default.
- W4367314692 modified "2023-10-14" @default.
- W4367314692 title "Linear Quadratic Regulator for Delayed Systems Using the Hamiltonian Approach and Exact Closed-Loop Poles for First-Order Systems" @default.
- W4367314692 cites W1964568305 @default.
- W4367314692 cites W1968212638 @default.
- W4367314692 cites W1984182132 @default.
- W4367314692 cites W2001326083 @default.
- W4367314692 cites W2045964614 @default.
- W4367314692 cites W2054171246 @default.
- W4367314692 cites W2086600007 @default.
- W4367314692 cites W2910115547 @default.
- W4367314692 cites W3048060871 @default.
- W4367314692 cites W4283575486 @default.
- W4367314692 doi "https://doi.org/10.1115/1.4062439" @default.
- W4367314692 hasPublicationYear "2023" @default.
- W4367314692 type Work @default.
- W4367314692 citedByCount "0" @default.
- W4367314692 crossrefType "journal-article" @default.
- W4367314692 hasAuthorship W4367314692A5007053875 @default.
- W4367314692 hasAuthorship W4367314692A5020129235 @default.
- W4367314692 hasAuthorship W4367314692A5085403521 @default.
- W4367314692 hasConcept C126255220 @default.
- W4367314692 hasConcept C126875415 @default.
- W4367314692 hasConcept C134306372 @default.
- W4367314692 hasConcept C162324750 @default.
- W4367314692 hasConcept C164660894 @default.
- W4367314692 hasConcept C179117685 @default.
- W4367314692 hasConcept C187736073 @default.
- W4367314692 hasConcept C2775924081 @default.
- W4367314692 hasConcept C28826006 @default.
- W4367314692 hasConcept C33923547 @default.
- W4367314692 hasConcept C45473103 @default.
- W4367314692 hasConcept C47446073 @default.
- W4367314692 hasConcept C90119067 @default.
- W4367314692 hasConcept C91575142 @default.
- W4367314692 hasConcept C93779851 @default.
- W4367314692 hasConcept C98779006 @default.
- W4367314692 hasConceptScore W4367314692C126255220 @default.
- W4367314692 hasConceptScore W4367314692C126875415 @default.
- W4367314692 hasConceptScore W4367314692C134306372 @default.
- W4367314692 hasConceptScore W4367314692C162324750 @default.
- W4367314692 hasConceptScore W4367314692C164660894 @default.
- W4367314692 hasConceptScore W4367314692C179117685 @default.
- W4367314692 hasConceptScore W4367314692C187736073 @default.
- W4367314692 hasConceptScore W4367314692C2775924081 @default.
- W4367314692 hasConceptScore W4367314692C28826006 @default.
- W4367314692 hasConceptScore W4367314692C33923547 @default.
- W4367314692 hasConceptScore W4367314692C45473103 @default.
- W4367314692 hasConceptScore W4367314692C47446073 @default.
- W4367314692 hasConceptScore W4367314692C90119067 @default.
- W4367314692 hasConceptScore W4367314692C91575142 @default.
- W4367314692 hasConceptScore W4367314692C93779851 @default.
- W4367314692 hasConceptScore W4367314692C98779006 @default.
- W4367314692 hasIssue "7" @default.
- W4367314692 hasLocation W43673146921 @default.
- W4367314692 hasOpenAccess W4367314692 @default.
- W4367314692 hasPrimaryLocation W43673146921 @default.
- W4367314692 hasRelatedWork W134077796 @default.
- W4367314692 hasRelatedWork W2015481290 @default.
- W4367314692 hasRelatedWork W2067019787 @default.
- W4367314692 hasRelatedWork W2082756469 @default.
- W4367314692 hasRelatedWork W2107109737 @default.
- W4367314692 hasRelatedWork W2261883883 @default.
- W4367314692 hasRelatedWork W2373820626 @default.
- W4367314692 hasRelatedWork W2602548393 @default.
- W4367314692 hasRelatedWork W2971918540 @default.
- W4367314692 hasRelatedWork W3049314573 @default.
- W4367314692 hasVolume "145" @default.
- W4367314692 isParatext "false" @default.
- W4367314692 isRetracted "false" @default.
- W4367314692 workType "article" @default.