System and method for characterizing a system
First Claim
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1. A method of identifying a system, the method using a controller, comprising:
- calculating an estimated value of at least one parameter in a second-order model of the system;
calculating at least one parameter in a first-order model of the system from at least one second-order model parameter using a transformation function based on a magnitude and phase of the second-order model at a natural frequency for the second-order model, wherein said calculating is performed using the controller;
providing the at least one first-order model parameter to a computing device; and
using the computing device and the at least one first-order model parameter to perform at least one of pre-tuning a feedback controller, configuring the feedback controller, and reconfiguring the feedback controller.
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Abstract
A method and apparatus of identifying a system is disclosed. The method comprises estimating at least one parameter in a second-order model of the system, and approximating at least one parameter in a first-order model of the system from the at least one second-order model parameter. The method may also comprise sampling an input to the system, sampling an output from the system. The apparatus comprises a device for estimating at least one parameter in a second-order model of the system, and device for approximating at least one parameter in a first-order model of the system from the at least one second-order model parameter.
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Citations
49 Claims
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1. A method of identifying a system, the method using a controller, comprising:
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calculating an estimated value of at least one parameter in a second-order model of the system; calculating at least one parameter in a first-order model of the system from at least one second-order model parameter using a transformation function based on a magnitude and phase of the second-order model at a natural frequency for the second-order model, wherein said calculating is performed using the controller; providing the at least one first-order model parameter to a computing device; and using the computing device and the at least one first-order model parameter to perform at least one of pre-tuning a feedback controller, configuring the feedback controller, and reconfiguring the feedback controller. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
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13. A method of analyzing a system using a controller to calculate at least one parameter in a first-order model of the system, the method comprising:
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sampling an input to the system; sampling an output from the system; calculating an estimated value of at least one parameter in a second-order model of the system using the sampled input and output; calculating at least one first-order model parameter from the estimated value of the at least one second-order model parameter using a transformation function, the transformation function equating a magnitude and phase of the second-order model at a natural frequency for the second-order model with a magnitude and phase of the first-order model, wherein the steps of sampling and calculating are done using said controller; and storing the at least one first-order model parameter. - View Dependent Claims (14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)
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25. A method of analyzing a non-first order system having inputs and outputs, the method comprising:
- using a controller to perform the steps of;
providing a first change to the system; sampling the inputs; sampling the outputs; calculating an estimated value of at least one parameter for a second-order model of the system based on the sampled inputs and outputs; calculating an estimated value of at least one parameter for a first-order model of the system from the estimated value of at least one parameter for a second-order model using a transformation function, the transformation function equating a magnitude and phase of the second-order model at a natural frequency for the second-order model with a magnitude and phase of the first-order model; determining whether the estimated value of at least one parameter for a first-order model of the system is within a predetermined range; providing a second change to the system when the estimated value of at least one parameter for a first-order model of the system is outside the predetermined range; and storing the estimated value of at least one parameter for a first-order model of the system. - View Dependent Claims (26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36)
- using a controller to perform the steps of;
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37. An apparatus for identifying a system, the apparatus comprising:
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a controller, the controller configured to; calculate at least one parameter in a second-order model of the system and calculate at least one parameter in a first-order model of the system from the at least one parameter in a second-order model using a transformation function based on a magnitude and phase of the second-order model at a natural frequency for the second-order model; determine whether the at least one parameter in a first-order model of the system is within a predetermined range; provide a step change to the system when the at least one parameter in a first-order model of the system is outside the predetermined range; and store the at least one parameter in a first-order model of the system. - View Dependent Claims (38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49)
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Specification