Suboptimal design of linear regulator systems subject to computer storage limitations

Massachusetts Institute of Technology. Dept. of Electrical Engineering. Thesis. 1967. Ph.D.Vita.Bibliography: p. 170-172.by David Lee Kleinman.Ph.D

Research on optimal control, stabilization and computational algorithms for aerospace applications

The research carried out in the areas of optimal control and estimation theory and its applications under this grant is reviewed. A listing of the 257 publications that document the research results is presented

On the stability of an infinite swept attachment line boundary layer

The instability of an infinite swept attachment line boundary layer is considered in the linear regime. The basic three dimensional flow is shown to be susceptible to travelling wave disturbances which propagate along the attachment line. The effect of suction on the instability is discussed and the results suggest that the attachment line boundary layer on a swept wing can be significantly stabilized by extremely small amounts of suction. The results obtained are in excellent agreement with the available experimental observations

Optimal output feedback control of linear systems in presence of forcing and measurement noise

The problem of obtaining an optimal control law, which is constrained to be a linear feedback of the available measurements, for both continuous and discrete time linear systems subjected to additive white process noise and measurement noise was Necessary conditions are obtained for minimizing a quadratic performance function for both finite and infinite terminal time cases. The feedback gains are constrained to be time invariant for the infinite terminal time cases. For all the cases considered, algorithms are derived for generating sequences of feedback gain matrices which successively improve the performance function. A continuous time numerical example is included for the purpose of demonstration

Control and Optimization of Laminar Incompressible Fluid Flow

The purpose of this thesis is to present a numerical algorithm for the dynamical opti­ mization of fluid flow systems that contain both geometric and control variables. This problem was formulated in an optimal control setting by specifying some performance functional to be minimized subject to the constraints provided by the discretized state equations. An algorithm was presented and applied successfully in the feedforward case to a simple fluid flow problem. Linear quadratic feedback control of laminar incompressible fluid was also studied with the eventual intention of incorporating feedback control into the optimization process. A feedback law was developed nu­ merically for incompressible fluid flow systems in some special cases, but after some numerical analysis it became clear that this method would have to be developed fur­ ther before it could be of any practical use

Institute for Computer Applications in Science and Engineering (ICASE)

Research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, numerical analysis and computer science during the period April 1, 1983 through September 30, 1983 is summarized

A Schur method for solving algebraic Riccati equations

Bibliography: p. 44-46.Research supported by Contract ERDA-E(49-18)-2087.by Alan J. Laub

Modeling, Analysis, and Optimization Issues for Large Space Structures

Topics concerning the modeling, analysis, and optimization of large space structures are discussed including structure-control interaction, structural and structural dynamics modeling, thermal analysis, testing, and design