Control of Nonlinear Distributed Parameter Systems With Application to Flow Control
Final technical rept. 1 Aug 89-31 Dec 91,
VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF ELECTRICAL AND COMPUTER ENGINEERING
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The goal of this project was to put the intuitive idea of gain-scheduling on a rigorous foundation for a class of nonlinear, distributed-parameter systems. This involved a study of the existence and characterization of the ideal, infinite-dimensional, feedback control. Since in most applications the feedback function cannot be computed in closed form it was necessary to study the convergence of approximate feedback functions, based on increasingly higher order finite-dimensional approximations of the system, to the ideal function. Finally, the results were applied to Burgers Equation, which can be viewed as a low-order approximation to a wide variety of physical phenomena, including viscous compressible flow.
- Fluidics and Fluerics
- Theoretical Mathematics
- Fluid Mechanics