𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the optimal linear regulator problem with control energy constraint

✍ Scribed by F.T. Man

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
213 KB
Volume
5
Category
Article
ISSN
0005-1098

No coin nor oath required. For personal study only.

✦ Synopsis

Correspondence Items On the Optimal Linear Regulator Problem with Control Energy Constraint* Sur le probl~me du r6gulateur optimal lin6aire avec une contrainte de l'6nergie de commande Uber das optimale lineare Regelungsproblem mit Hilfsenergiebeschr/inkung O npo6.rieMe orrri,iMaJibHoro Jiiai-ie~I-toro perystaTopa c orpanIaqearIeM 3I-ieprrIrt ynpaBJIeHrIa F. T. MANt Summary--The exact solution is presented to the optimal linear regulator problem with control energy constraint. An iterative scheme for the computation of the solution to the problem is proposed. Examples are included for the purposes of illustration and comparison with previously published results. The optimal control which minimizes (2) subject to (3) is given by [1]: 1 u*(t) = --R-l(t)B'(t)K(t)x(t)

πŸ“œ SIMILAR VOLUMES

The optimal feedback control of the line
The optimal feedback control of the linear-quadratic control problem with a control inequality constraint
✍ Yunying Mao; Zeyi Liu πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 104 KB

## Abstract In this paper, we consider the linear‐quadratic control problem with an inequality constraint on the control variable. We derive the feedback form of the optimal control by the agency of the unconstrained linear‐quadratic control systems. Copyright Β© 2001 John Wiley & Sons, Ltd.

Linear-Nonquadratic Optimal Control Prob
Linear-Nonquadratic Optimal Control Problems with Terminal Inequality Constraints
✍ L.P. Pan; K.L. Teo πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 209 KB

This paper considers a linear-nonquadratic optimal control problem subject to nonlinear terminal inequality constraints. We approximate it by a series of approximate problems via the penalty method. It is shown that the optimal control functions of the approximate problems uniformly converge to the

On the design of P-I-D controllers using
On the design of P-I-D controllers using optimal linear regulator theory
✍ M. Athans πŸ“‚ Article πŸ“… 1971 πŸ› Elsevier Science 🌐 English βš– 363 KB

## Conclusion The asymptotic stability of the origin for a class of sixth order non-linear system is proved. Thus, the result is in the most general form.