𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal control of distributed-parameter systems with integral equation constraints

✍ Scribed by Yen-Ping Shih

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
719 KB
Volume
24
Category
Article
ISSN
0009-2509

No coin nor oath required. For personal study only.

✦ Synopsis

A necessary condltlon for the optlmal control of a class of mtegral equafion constramt systems 1s denved by use of vanational method wlth fimte perturbatlon of the control vanable It 1s shown that certam hnear partlal Qfferentlal equation systems wth performance index based on the output vmable of the system can be transformed mto mtegral equatlon constramt problems An analytlcal result for the smgular control of a dlstrlbuted-parameter system IS obtamed Computatlonal results are @ven for the optlmal control of the thm-wal1 heat exchanger wlth steam heahng control When the kernel of the mtegral equatlon 1s eatr+ U(T), the system can be transformed mto a related hnear lumped-parameter system The well-known optlmlzatlon techmques of lumped-parameter systems can be apphed to construct optlmal control Usmg a quadratlc performance index a hnear feedback control Iaw can be obtamed Only rhe measurement of the output vanable IS reqmred to generate the feedback control law for the servo problem For the regulator problem the state of the system must be known before the feedback controi law can be constructed

πŸ“œ SIMILAR VOLUMES

Necessary and sufficient conditions for
Necessary and sufficient conditions for the optimal control of distributed parameter systems subject to integral constraints
✍ Ibrahim S. Sadek πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 909 KB

A class of optimal control problems for a damped distributed parameter system governed by a system of partial d@erential equations with side constraints (equality and/or inequality) is considered. Optimal control problems in structural mechanics are often formulated in this framework. A maximum prin

Optimal open/closed-loop control for sys
Optimal open/closed-loop control for systems with distributed parameter
✍ Ibrahim S. Sadek; Osman YΓΌrekli πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 607 KB

## An optimal control problem for multi-dimensional structures described by a system of partial differential equations is considered. A combined open-and closed-loop mechanism is incorporated into theJormulation of the problem and a #eneral method of solution is presented. Two performance indices ar

An optimal control problem for a class o
An optimal control problem for a class of distributed parameter systems
✍ D.J. Ball; J.R. Hewit πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 413 KB

The optimal control of a class of linear deterministic time-invariant multi-dimensional distributed systems is considered. The unconstrained optimal control problem is formulated as a quadratic minimisation in a real Hilbert space. A conjugate gradient minimisation technique is employed in its solut

Theory and application of optimal contro
Theory and application of optimal control for distributed parameter systemsβ€”I: Theory
✍ W.L. Brogan πŸ“‚ Article πŸ“… 1967 πŸ› Elsevier Science 🌐 English βš– 751 KB

The theory of optimum control for distributed parameter systems is presented using a dynamic programming approach. These results have been previously presented, but the present two-part paper shows how an additional class of problems involving boundary control can be handled with the same theory. Us