Abstract
The authors derive the algebraic operator Riccati equation for the beam equation with a quadratic like index consisting of the first-order partial differential operator in spatial variables. The derivation is based on the maximum principle and the costate system equation. The authors find the exact analytical solution of the algebraic operator Riccati equation for a class of operators which are equivalent to the integal operators having infinite sum kernels (they may not be summable). Under the assumption that all the operators in the equation have the same eigenfunctions, the exact analytical solution for the equation is obtained and some aspects of the solution are investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 2333-2334 |
| Number of pages | 2 |
| Journal | Proceedings of the American Control Conference |
| Volume | 88 pt 1-3 |
| Publication status | Published - 1 Dec 1988 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
Exact Riccati equation solution for optimal control of a flexible beam with a quadratic-like cost functional. / Tang, T. S.; Huang, Garng Morton.
In: Proceedings of the American Control Conference, Vol. 88 pt 1-3, 01.12.1988, p. 2333-2334.Research output: Contribution to journal › Conference article
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TY - JOUR
T1 - Exact Riccati equation solution for optimal control of a flexible beam with a quadratic-like cost functional.
AU - Tang, T. S.
AU - Huang, Garng Morton
PY - 1988/12/1
Y1 - 1988/12/1
N2 - The authors derive the algebraic operator Riccati equation for the beam equation with a quadratic like index consisting of the first-order partial differential operator in spatial variables. The derivation is based on the maximum principle and the costate system equation. The authors find the exact analytical solution of the algebraic operator Riccati equation for a class of operators which are equivalent to the integal operators having infinite sum kernels (they may not be summable). Under the assumption that all the operators in the equation have the same eigenfunctions, the exact analytical solution for the equation is obtained and some aspects of the solution are investigated.
AB - The authors derive the algebraic operator Riccati equation for the beam equation with a quadratic like index consisting of the first-order partial differential operator in spatial variables. The derivation is based on the maximum principle and the costate system equation. The authors find the exact analytical solution of the algebraic operator Riccati equation for a class of operators which are equivalent to the integal operators having infinite sum kernels (they may not be summable). Under the assumption that all the operators in the equation have the same eigenfunctions, the exact analytical solution for the equation is obtained and some aspects of the solution are investigated.
UR - http://www.scopus.com/inward/record.url?scp=0024138985&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0024138985&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:0024138985
VL - 88 pt 1-3
SP - 2333
EP - 2334
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
SN - 0743-1619
ER -