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Controller synthesis for linear systems with retarded state and control variables and quadratic cost

✍ Scribed by H.N. Koivo; E.B. Lee

Publisher: Elsevier Science
Year: 1972
Tongue: English
Weight: 444 KB
Volume: 8
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(72)90068-4

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✦ Synopsis

Brief Paper Controller Synthesis for Linear Systems with Retarded State and Control Variables and Quadratic Cost*t Synth6se d'un r4gulateur pour des syst~mes lin6aires avec variables d'etat et de commande retard6es et coot quadratique Reglersynthese ftir lineare Systeme mit retardiertem Zustand und Steuervariablen und quadratische Kostenfunktion CHHTe3 perysi~iT0pa/UI~I JIrlHe~HblX CrICTeM C 3ana3jiblBalOtllrtMI4 KOOpjIrIHaTaMI4 COCTOI/HI4a t'l ynpaBJiemia i~ c KBa~IpaTrtqecro~ CTOI, IIVIOCTblO H, N. KOIVO+ + and E. B. LEE+ Summary--The problem of optimal control of a system whose mathematical model involves dependence on both a history of state type variables and the control variables is considered. The canonical equations which one obtains by application of a maximum principle for the optimal control problem are transformed into equivalent integral equations which can be solved by use of the Fredholm resoivent theory. A feedback solution is obtained.

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