MATHEMATICAL THEORY OF CONTROL OF NONLINEAR PROCESSES.
Yearly rept. 1 Jan-31 Dec 69,
MINNESOTA UNIV MINNEAPOLIS
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Primary emphasis during the year has been on the development of controller design techniques for systems with distributed parameters, and time delays. Necessary, and in some cases sufficient conditions, were found for the determination of the control policy to use when there are delays in the control action as well as the state. These results could be used in the synthesis of controllers for vehicles which are in space and the control decisions are made by equipment or men on the earth. Various approximations to be used in the modeling of systems with distributed parameters have been investigated. Approximate models for systems with distributed parameters have been achieved using a lumped parameter approach with time delays in the interaction between the lumps. Such models retain essential features, such as controllability, of the distributed parameter system and should prove useful in the design of boundary controllers for flexible plates or membranes which occurs in the control of certain large flexible aircraft structures. Significant results have been achieved in the theory of feedback control for linear systems with time delays and the quadratic performance criterion. Author
- Numerical Mathematics
- Test Facilities, Equipment and Methods