The optimal control of processes containing pure time delays—II Transfer function models

✍ Scribed by M.A. Soliman; W.H. Ray

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 466 KB
• Volume: 27
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(72)85096-6

✦ Synopsis

The problem of the optimal control of systems modeled by transfer functions containing pure time delays is transformed to a differential-difference equation formulation. The optimal feedback control law analogous to that of Kalman [ 121 for undelayed systems is applied to these problems. The case where only a quadratic in the state appears in the objective is also treated and the optimal policy seen to be a combination of a high frequency switching bang-bang policy followed by a singular arc of infinite duration. An example of a heat exchanger control problem is used to illustrate these results. The optimal feedback control law introduced in this paper is seen to be a very important practical result, because it can be readily implemented on a control computer.