US7729882B2 — Method and system for assessing performance of co…

Claim 1

Independent Claim 227 words

A system for displaying, on an electronic display device, scaled performance indicators of control applications in an environmental control system, the system comprising: a memory device configured to receive and store more than one performance indicator from a first control application, wherein the first control application includes a modulating control output to control a first device of the environmental control system, wherein the memory device is further configured to receive and store more than one performance indicator from a second control application, wherein the second control application includes a staged-control output to control a second device for the environmental control system; and computing electronics configured to identify a probability distribution function, wherein the probability distribution function is characteristic of a fault-free environmental control system, wherein the computing electronics are further configured to retrieve the performance indicators of the first and second control applications from the memory device and to calculate and store probability distributions associated with the performance indicators of the first and second control applications in the memory device, wherein the calculation is based on the identified probability distribution function, wherein the computing electronics are further configured to calculate a graphical representation of the probability distributions associated with the first and second control applications and to cause the display, on the electronic display device, of the graphical representation of the probability distributions on a common scale.

Claim 2

Independent Claim 227 words

A system for displaying, on an electronic display device, scaled performance indicators of control applications in an environmental control system, the system comprising: a memory device configured to receive and store more than one performance indicator from a first control application, wherein the first control application includes a modulating control output to control a first device of the environmental control system, wherein the memory device is further configured to receive and store more than one performance indicator from a second control application, wherein the second control application includes a staged-control output to control a second device for the environmental control system; and computing electronics configured to identify a probability distribution function, wherein the probability distribution function is characteristic of a fault-free environmental control system, wherein the computing electronics are further configured to retrieve the performance indicators of the first and second control applications from the memory device and to calculate and store probability distributions associated with the performance indicators of the first and second control applications in the memory device, wherein the calculation is based on the identified probability distribution function, wherein the computing electronics are further configured to calculate a graphical representation of the probability distributions associated with the first and second control applications and to cause the display, on the electronic display device, of the graphical representation of the probability distributions on a common scale.

Claim 3

Dependent Claim 20 words

The system of claim 1 , wherein calculating the probability distributions includes performing a logarithmic transformation of the performance indicators.

Claim 4

Dependent Claim 66 words

The system of claim 2 , wherein the logarithmic transformation for the first control application is given by: x 1 = log 10 ⁡ ( 1 Pr ⁡ [ X > x 1 ] ) where X is a random sampling generated from the identified probability distribution function for fault-free systems and Pr[X>x 1 ] is the probability that X is greater than x 1 .

Claim 5

Dependent Claim 151 words

The system of claim 2 , wherein the logarithmic transformation for the second control application is given by: x 2 = { log 10 ⁡ ( 1 Pr ⁡ [ X < 2 ⁢ E ⁡ ( x ) - x 2 ] + Pr ⁡ [ X > x 2 ] ) ⁢ ⁢ if ⁢ ⁢ x 2 > E ⁡ ( X ) log 10 ⁡ ( 1 Pr ⁡ [ X < x 2 ] + Pr ⁡ [ X > 2 ⁢ E ⁡ ( X ) - x 2 ] ) ⁢ ⁢ if ⁢ ⁢ x 2 ≤ E ⁡ ( X ) where X is a random sampling generated from the identified probability distribution function for the fault-free environmental control system, E(X) is the expected value of X, and Pr[X>x 2 ] is the probability that X is greater than x 2 .

Claim 6

Dependent Claim 19 words

The system of claim 1 , wherein the probability distribution function comprises a sample mean and standard deviation function.

Claim 7

Dependent Claim 16 words

The system of claim 1 , wherein the probability distribution function comprises a kernel density function.

Claim 8

Dependent Claim 15 words

The system of claim 1 , wherein the probability distribution function comprises a moments function.

Claim 9

Dependent Claim 15 words

The system of claim 1 , wherein the performance indicators are exponentially weighted moving averages.

Claim 10

Dependent Claim 22 words

The system of claim 1 , wherein the common scale comprises a plurality of dot plots ranging from good to poor performance.

Claim 11

Dependent Claim 16 words

The system of claim 1 , wherein the control applications are associated with an HVAC system.

Claim 12

Dependent Claim 19 words

The system of claim 1 , wherein the performance indicators represent error in the performance of the control applications.

Claim 13

Dependent Claim 128 words

A computerized method for analyzing performance of control applications in an environmental control system, the steps of the method comprising: receiving more than one performance indicator from a first and a second control application of the environmental control system at computing electronics; identifying, using the computing electronics, a probability distribution function characteristic of a fault-free environmental control system; scaling, by the computing electronics, the performance indicators from the first and second control applications based on the identified probability distribution function characteristic of a fault-free environmental control system; determining, at the computing electronics, probability distributions associated with the scaled performance indicators of the first and second control applications; and displaying, on an electronic display system, the probability distributions of the first and second control applications on a common scale.

Claim 14

Dependent Claim 128 words

A computerized method for analyzing performance of control applications in an environmental control system, the steps of the method comprising: receiving more than one performance indicator from a first and a second control application of the environmental control system at computing electronics; identifying, using the computing electronics, a probability distribution function characteristic of a fault-free environmental control system; scaling, by the computing electronics, the performance indicators from the first and second control applications based on the identified probability distribution function characteristic of a fault-free environmental control system; determining, at the computing electronics, probability distributions associated with the scaled performance indicators of the first and second control applications; and displaying, on an electronic display system, the probability distributions of the first and second control applications on a common scale.

Claim 15

Dependent Claim 29 words

A method for analyzing performance of control applications according to claim 12 , wherein the common scale comprises a plurality of dot plots ranging from good to poor performance.

Claim 16

Dependent Claim 27 words

A method for analyzing performance of control applications according to claim 12 , wherein the step of displaying the probability distributions includes displaying on a rug plot.

Claim 17

Dependent Claim 22 words

A method for analyzing performance of control applications according to claim 12 , wherein the performance indicators are exponentially weighted moving averages.

Claim 18

Dependent Claim 26 words

A method for analyzing performance of control applications according to claim 12 , wherein the performance indicators represent error in the performance of the control applications.

Claim 19

Dependent Claim 23 words

A method for analyzing performance of control applications according to claim 12 , wherein the control applications are associated with an HVAC system.

Claim 20

Dependent Claim 23 words

A method for analyzing performance of control applications according to claim 12 , further including performing a logarithmic transformation of the performance indicators.

Claim 21

Dependent Claim 73 words

A method for analyzing performance of control applications according to claim 18 , wherein the logarithmic transformation for the first control application is given by: x 1 = log 10 ⁡ ( 1 Pr ⁡ [ X > x 1 ] ) where X is a random sampling from the probability distribution for the fault-free environmental control system and Pr[X>x 1 ] is the probability that X is greater than x 1 .

Claim 22

Dependent Claim 155 words

A method for analyzing performance of control applications according to claim 18 , wherein the logarithmic transformation for the second control application is given by: x 2 = { log 10 ⁡ ( 1 Pr ⁡ [ X < 2 ⁢ E ⁡ ( x ) - x 2 ] + Pr ⁡ [ X > x 2 ] ) ⁢ ⁢ if ⁢ ⁢ x 2 > E ⁡ ( X ) log 10 ⁡ ( 1 Pr ⁡ [ X < x 2 ] + Pr ⁡ [ X > 2 ⁢ E ⁡ ( X ) - x 2 ] ) ⁢ ⁢ if ⁢ ⁢ x 2 ≤ E ⁡ ( X ) where X is a random sampling from the probability distribution for the fault-free environmental control system, E(X) is the expected value of X, and Pr[X>x 2 ] is the probability that X is greater than x 2 .

Claim 23

Dependent Claim 38 words

A method for analyzing performance of control applications according to claim 12 , wherein determining probability distributions associated with the performance indicators of the first and second control applications comprises utilizing a sample mean and standard deviation function.

Claim 24

Dependent Claim 35 words

A method for analyzing performance of control applications according to claim 12 , wherein determining probability distributions associated with the performance indicators of the first and second control applications comprises utilizing a kernel density function.

Claim 25

Dependent Claim 34 words

A method for analyzing performance of control applications according to claim 12 , wherein determining probability distributions associated with the performance indicators of the first and second control applications comprises utilizing a moments function.

Annuity Stage	Window Opens	Payment Deadline	Surcharge Period Until	Estimated Fee	Status
3.5 Years (Year 4)	2013-05-31	2013-11-30	2014-06-01	$2000.00	Window Closed / Lapsed
7.5 Years (Year 8)	2017-05-31	2017-11-30	2018-06-01	$3760.00	Window Closed / Lapsed
11.5 Years (Year 12)	2021-05-31	2021-11-30	2022-06-01	$7700.00	Window Closed / Lapsed

Method and system for assessing performance of control systems

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