Self-adaptive control process for piloting a physical system

G - Physics – 05 – D

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341/80

G05D 1/08 (2006.01) G05B 13/04 (2006.01)

Patent

CA 2031534

ABSTRACT OF THE DISCLOSURE In a physical system to be piloted in discrete mode, an outlet value .THETA. is related to a control variable .beta. by the equation: .THETA. = A6?.THETA. + K1?.beta. + .epsilon., in which at least one of the parameters A6 and K1 is unknown. If Yk is the value of .THETA. at time K and if Bck is the control command produced by the guide calculator at that time, there exist three polynomials in q-1(delay operator), E, A', N with constant coefficients determined in advance, such that at any time, following preliminary filtration (index F) by an at least first-order polynomial in q-1, the following approximation holds: (E'?Yk)F=(A'?Yk)F?A6 + (N'Bck)F?K1 + noises. At each step of piloting, the terms of this linear combination in A6 and K1 are calculated, at least this unknown parameter is estimated by means of a parametric variation model, and a control signal for one or more harmonic components of selected amplitudes and pulsations is added, for these instantaneous values of the parameters, by interpolation in a pre-established table which ensures that the tractions are maintained within predetermined ranges.

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