Electrical and Computer Engineering ETDs

Publication Date

11-11-1969

Abstract

This dissertation presents an approach for achieving suboptimal feedback control of a class of time-invariant systems, with primary emphasis on linear, time-optimal regulator systems. The approach involves the specification of a family of suboptimal feedback control policies that has the unique feature that each policy in the family will produce a stable system and a suboptimal performance that can be measured against optimal performance. In particular, the performance deviation from optimal afforded by any of these policies is parametrically bounded, and by varying the parameter a hierarchy of policies can be determined. For bang-bang systems, the resulting suboptimal controller design problem can be regarded as a pattern classification problem.

A major portion of the dissertation is directed to an investigation of the patterns that characterize the controller design problem for linear time-optimal regulator systems. The investigation involves the study of certain mappings that arise in the optimal solution of these systems and the subsequent use of these mappings in determining the topological and smoothness characteristics of the patterns. The pattern characteristics established through this analysis are essential to the future research problem of developing practical pattern classification algorithms. A method is established for computing the patterns, and a set of FORTRAN subroutines for this purpose is provided.

The final topic considered is the control of linear systems where fuel consumption, in addition to speed of response, is important. A time-invariant feedback policy based on the patterns for the time-optimal problems is suggested.

Document Type

Dissertation

Language

English

Degree Name

Electrical Engineering

Level of Degree

Doctoral

Department Name

Electrical and Computer Engineering

First Committee Member (Chair)

Harold Knud Knudsen

Second Committee Member

Bernard Epstein

Third Committee Member

Arnold Herman Koschmann

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