Polynomial controller for nonlinear systems

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364149, 364152, 364176, G05B 1304

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active

055463029

ABSTRACT:
A system polynomial is determined using a plurality of system I/O data, wherein the system polynomial expresses the system output in terms of the system input, and wherein the system polynomial has r' terms including at least one linear term and at least one nonlinear term, the r' terms found using a regression subsets technique. A control polynomial is determined, the control polynomial having at least one cancellation term and at least one control term, the at least one cancellation term calculated to cancel the at least one nonlinear term of the system polynomial, and the at least one control term calculated to control the at least one linear term of the system polynomial. A control output signal is generated based on the control polynomial and the control input signal.

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patent: 5049796 (1991-09-01), Seraji
Regressions by Leaps and Bounds by George M. Furnival and Robert W. Wilson, Jr., Technometrics.COPYRGT., vol. 16, No. 4, pp. 499-511, Nov. 1974.
Application of the Leaps and Bounds Algorithm to Nonlinear System Modeling by Norman W. Laursen and Bruce E. Stuckman, presented at ComCon 88 Advances in Communications and Control Systems, Baton Rouge, Louisiana, Oct. 19-21, 1988.
Nonlinear Robust Industrial Robot Control by Shay-Ping Thomas Wang, A Dissertation Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy, Arizona State University, Dec. 1987.

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