
Accession Number : AD0714131
Title : Open Loop Optimal Feedback Control for Continuous Linear Stochastic Systems.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHTPATTERSON AFB OHIO SCHOOL OF ENGINEERING
Personal Author(s) : Murch,Walter G.
Report Date : JUN 1970
Pagination or Media Count : 65
Abstract : The control of a continuous time linear system with parameters and disturbance represented by stochastic processes is studied. The optimal open loop control is shown to be a linear function of the expected value of the initial condition vector and the function specifying the control, the control generation matrix, is shown to be the solution to a Fredholm integral equation. A computational procedure is derived for the solution to the control generation matrix based on results by Kagiwada and Kalaba for the solution to a Fredholm integral equation. A closed loop control law, the open loop optimal feedback (OLOF) control, is derived from the optimal open loop control and the control generation matrix shown to be the solution to a Volterra integral equation. The OLOF CONTROL GENERATION MATRIX FOR THE TIMEINVARIANT, INFINITE TIME SYSTEM IS SHOWN TO BE A CONSTANT MATRIX. Some examples are worked to demonstrate the OLOF control and to compare it with the optimal open loop control. (Author)
Descriptors : (*CONTROL SYSTEMS, STOCHASTIC PROCESSES), MATRICES(MATHEMATICS), PROBABILITY, INTEGRAL EQUATIONS, COMPUTER PROGRAMS, OPTIMIZATION, ALGORITHMS, THESES
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE