Means and method for system performance tracking

Claim 1

A method of monitoring changes in an engine, said method specifically monitoring n performance parameters of said engine by means of n performance parameters changes in the form of a multidimensional vector dP, said engine having a plurality of control inputs and resulting in m engine outputs, where n and m are positive integers with n greater than m, said method comprising the steps of: (i) providing a computer model of the engine, said model having a plurality of control inputs and having m model outputs; (ii) initializing said multidimensional vector dP to zero; (iii) storing at least one non-square matrix C of sensitivity coefficients which relates changes in performance parameters of the engine dP to a vector of differences between engine sensor outputs and computer model outputs dx, where dx=CdP; (iv) operating said engine; (v) computing said m model outputs based upon said plurality of control inputs and said vector of performance chances dP; (vi) comparing said computed m model outputs to m sensor engine outputs and calculating a vector of output sensor changes dx; (vii) applying singular value decomposition to compute a revised dPe, where C=US S :0V T and V R (S S ) -1 U T is the pseudoinverse of C.

Claim 2

A method of monitoring changes in an engine, said method specifically monitoring n performance parameters of said engine by means of n performance parameters changes in the form of a multidimensional vector dP, said engine having a plurality of control inputs and resulting in m engine outputs, where n and m are positive integers with n greater than m, said method comprising the steps of: (i) providing a computer model of the engine, said model having a plurality of control inputs and having m model outputs; (ii) initializing said multidimensional vector dP to zero; (iii) storing at least one non-square matrix C of sensitivity coefficients which relates changes in performance parameters of the engine dP to a vector of differences between engine sensor outputs and computer model outputs dx, where dx=CdP; (iv) operating said engine; (v) computing said m model outputs based upon said plurality of control inputs and said vector of performance chances dP; (vi) comparing said computed m model outputs to m sensor engine outputs and calculating a vector of output sensor changes dx; (vii) applying singular value decomposition to compute a revised dPe, where C=US S :0V T and V R (S S ) -1 U T is the pseudoinverse of C.

Claim 8

A method of monitoring changes in an engine, said method specifically monitoring n performance parameters of said engine by means of n performance parameters changes in the form of a multidimensional vector dP, said engine having a plurality of control inputs and resulting in m engine outputs, where n and m are positive integers and n is greater than m, said method comprising the steps of: (i) providing a computer model of the engine, said model having a plurality of control inputs and having m model outputs; (ii) initializing said multidimensional vector dP to zero; (iii) storing at least one non-square matrix C of sensitivity coefficients which relates changes in performance parameters of the engine dP to a vector of differences between engine sensor outputs and computer model outputs dx, where dx=CdP; (iv) operating said engine; (v) computing said m model outputs based upon said plurality of control inputs and said vector of performance changes dP; (vi) comparing said computed m model outputs to m sensor engine outputs and calculating a vector of output sensor changes dx; (vii) applying singular value decomposition to compute a revised dPe, where C=US S :0V T and V R (S S ) -1 U T is the pseudoinverse of C, by the following steps: (a) operating on the calculated vector of sensor changes dx by (S S ) -1 U T to obtain a vector α; (b) applying a gain factor K to each element of vector α and integrating the resultant signal with respect to time to obtain vector β; (c) operating on said vector β by matrix V R to obtain a calculated vector of performance parameter changes dPe; (viii) substituting said calculated vector of performance changes dPe for the previous vector of performance changes in the computer model in step (ii); and (ix) repeating steps (v) through (viii) until a steady state dPe has been achieved.

Claim 9

A method of monitoring changes in an engine, said method specifically monitoring n performance parameters of said engine by means of n performance parameters changes in the form of a multidimensional vector dP, said engine having a plurality of control inputs and resulting in m engine outputs, where n and m are positive integers and n is greater than m, said method comprising the steps of: (i) providing a computer model of the engine, said model having a plurality of control inputs and having m model outputs; (ii) initializing said multidimensional vector dP to zero; (iii) storing at least one non-square matrix C of sensitivity coefficients which relates changes in performance parameters of the engine dP to a vector of differences between engine sensor outputs and computer model outputs dx, where dx=CdP; (iv) operating said engine; (v) computing said m model outputs based upon said plurality of control inputs and said vector of performance changes dP; (vi) comparing said computed m model outputs to m sensor engine outputs and calculating a vector of output sensor changes dx; (vii) applying singular value decomposition to compute a revised dPe, where C=US S :0V T and V R (S S ) -1 U T is the pseudoinverse of C, by the following steps: (a) operating on the calculated vector of sensor changes dx by (S S ) -1 U T to obtain a vector α; (b) applying a gain factor K to each element of vector α and integrating the resultant signal with respect to time to obtain vector β; (c) operating on said vector β by matrix V R to obtain a calculated vector of performance parameter changes dPe; (viii) substituting said calculated vector of performance changes dPe for the previous vector of performance changes in the computer model in step (ii); and (ix) repeating steps (v) through (viii) until a steady state dPe has been achieved.