Quantitative Synthesis of Uncertain Multiple Input-Output Feedback System.
COLORADO UNIV BOULDER DEPT OF ELECTRICAL ENGINEERING
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There is given an n input, n output plant with a specified range of parameter uncertainty and specified tolerances on the n-squared system response to command functions and the n-squared response to disturbance functions. It is shown how Schauders fixed point theorem may be used to generate a variety of synthesis techniques, for a large class of such plants. The design guarantees the specifications are satisfied over the range of parameter uncertainty. An attractive property is that design execution is that of successive single loop designs, with no interaction between them and no iteration necessary. Stability over the range of parameter uncertainty is automatically included. By an additional use of Schauders theorem, these same synthesis techniques can be rigorously used for quantitative design in the same sense as above, for nxn uncertain nonlinear plants, even nonlinear time-varying plants, in response to a finite number of inputs. Author
- Statistics and Probability