US3573450A
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Model function generator
Assignee: Monsanto Co
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Filing: 1969-03-25
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Granted: 1971-04-06
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Expires: 1989-03-25
Abstract
Abstract A model function generator for use with rapid process simulators to determine static and dynamic characteristics in a process. The model function generator produces an output transfer function in response to an input function and which output transfer function is adjusted to match the output signal from the process. The model function generator includes a plurality of individual modules having transfer functions which are generally orthonormal and each of the modules includes a summer, an integrator, an inverter, a first potentiometer for adjusting the time constant represented by the module and a second potentiometer for adjusting the amplitude coefficient represented by the module.
Inventors
- 👤 Robert A Walsh
- 👤 Louis H Fricke Jr
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-30 01:37
CPC Classifications
G; G06; G06G; G06G7/00; G06G7/12; G06G7/20; G06F; G06F30/00; G06F30/20; G06G7/48; G06G7/62; G06G7/623; G06G7/66
Claims Analysis
Total Claims: 16
Claim 1
Independent Claim
145 words
A model function generator for use with devices capable of generating an output transfer function in response to an input function and thereby determine the characteristics of an unknown process, said model function generator comprising a plurality of individual modules having transfer functions which are generally orthonormal, each of said modules comprising a summer, an integrator operatively connected to said summer, an inverter in feedback relationship between the output of said integrator and the input of said summer, a first potentiometer connected between said summer and integrator of each module for adjusting a time constant of a selector represented by said module, a second potentiometer in each module connected to the inverter of each module for adjusting the amplitude coefficient of a selector represented by said module, and summating means connected to each module for rendering an output function containing a series of orthogonal terms.
Claim 2
Dependent Claim
145 words
A model function generator for use with devices capable of generating an output transfer function in response to an input function and thereby determine the characteristics of an unknown process, said model function generator comprising a plurality of individual modules having transfer functions which are generally orthonormal, each of said modules comprising a summer, an integrator operatively connected to said summer, an inverter in feedback relationship between the output of said integrator and the input of said summer, a first potentiometer connected between said summer and integrator of each module for adjusting a time constant of a selector represented by said module, a second potentiometer in each module connected to the inverter of each module for adjusting the amplitude coefficient of a selector represented by said module, and summating means connected to each module for rendering an output function containing a series of orthogonal terms.
Claim 3
Dependent Claim
131 words
A model function generator for use with devices capable of generating an output transfer function response to an input function and thereby determine the characteristics of an unknown process, said model function generator comprising a plurality of individual modules having transfer functions which are generally orthonormal, each of said modules comprising a summer, an integrator operatively connected to said summer, an inverter in feedback relationship between the output of said integrator and the input of said summer, first adjustment means connected with each module for adjusting time constants of a selector represented by said module, second adjustment means connected with each module for adjusting amplitude coefficients of a selector represented by said module, and summating means connected to each module for rendering an output function containing a series of orthogonal terms.
Claim 4
Dependent Claim
131 words
A model function generator for use with devices capable of generating an output transfer function response to an input function and thereby determine the characteristics of an unknown process, said model function generator comprising a plurality of individual modules having transfer functions which are generally orthonormal, each of said modules comprising a summer, an integrator operatively connected to said summer, an inverter in feedback relationship between the output of said integrator and the input of said summer, first adjustment means connected with each module for adjusting time constants of a selector represented by said module, second adjustment means connected with each module for adjusting amplitude coefficients of a selector represented by said module, and summating means connected to each module for rendering an output function containing a series of orthogonal terms.
Claim 5
Dependent Claim
127 words
A model function generator for generating an output function which may be adjusted to match the output function from a process, said model function generator including a plurality of individual modules having transfer functions which are generally orthonormal, said simulation being performed by determining the a and T functions in the model which has the following mathematical representation: wherein a is the amplitude coefficient of each parameter and T is the time constant coefficient and s is the Laplacian operator, means forming part of each of said module for determining said a and T functions, integrating means for integrating the output of each of said modules, and summating means operatively associated with each of said modules for rendering an output function containing a series of orthogonal terms.
Claim 6
Dependent Claim
127 words
A model function generator for generating an output function which may be adjusted to match the output function from a process, said model function generator including a plurality of individual modules having transfer functions which are generally orthonormal, said simulation being performed by determining the a and T functions in the model which has the following mathematical representation: wherein a is the amplitude coefficient of each parameter and T is the time constant coefficient and s is the Laplacian operator, means forming part of each of said module for determining said a and T functions, integrating means for integrating the output of each of said modules, and summating means operatively associated with each of said modules for rendering an output function containing a series of orthogonal terms.
Claim 7
Dependent Claim
148 words
A model function generator for use with a process simulator which generates an output function in response to an input function and operatively includes a pulse generating means for generating and applying a perturbating pulse to an unknown process and to said model for determining the characteristics of said unknown process; said model function generator comprising a plurality of individual modules having transfer functions which are generally orthonormal, each of said modules comprising a summer, an integrator operatively connected to said summer, an inverter in feedback relationship between the output of said integrator and the input of said summer, a first adjustment means connected in each module for adjusting time constants and second adjustment means connected in each module for adjusting amplitude coefficients of a selector represented by said module, and summating means connected to each module for rendering an output function containing a series of orthogonal terms.
Claim 8
Dependent Claim
148 words
A model function generator for use with a process simulator which generates an output function in response to an input function and operatively includes a pulse generating means for generating and applying a perturbating pulse to an unknown process and to said model for determining the characteristics of said unknown process; said model function generator comprising a plurality of individual modules having transfer functions which are generally orthonormal, each of said modules comprising a summer, an integrator operatively connected to said summer, an inverter in feedback relationship between the output of said integrator and the input of said summer, a first adjustment means connected in each module for adjusting time constants and second adjustment means connected in each module for adjusting amplitude coefficients of a selector represented by said module, and summating means connected to each module for rendering an output function containing a series of orthogonal terms.
Claim 9
Dependent Claim
30 words
The model function generator of claim 4 further characterized in that means is associated with said model to provide proper sense of module simulation with respect to said unknown process.
Claim 10
Dependent Claim
40 words
The model function generator of claim 4 further characterized in that each module of said model enables determination of the normalized term 1/Ts+1 of an orthogonal set where T is a time constant coefficient and S is a Laplacian operator.
Claim 11
Independent Claim
112 words
A method for generating output signal functions from a module to match the output function of a process to thereby simulate the parameters of said process, said method comprising deriving a generally orthonormal output from each of a plurality of individual modules, adjusting the a and T functions in each module of the model which has the following mathematical representation: wherein a is the amplitude coefficient of each parameter and T is the time constant coefficient and s is the Laplacian operator, integrating the outputs of each of the modules, and summating each of said integrated outputs of each of said modules for rendering an output function containing a series orthogonal terms.
Claim 12
Independent Claim
112 words
A method for generating output signal functions from a module to match the output function of a process to thereby simulate the parameters of said process, said method comprising deriving a generally orthonormal output from each of a plurality of individual modules, adjusting the a and T functions in each module of the model which has the following mathematical representation: wherein a is the amplitude coefficient of each parameter and T is the time constant coefficient and s is the Laplacian operator, integrating the outputs of each of the modules, and summating each of said integrated outputs of each of said modules for rendering an output function containing a series orthogonal terms.
Claim 13
Dependent Claim
128 words
A model function generator for use with devices capable of generating an output transfer function response to an input function and thereBy determine the characteristics of an unknown process, said model function generator comprising a plurality of individual modules, each of said modules comprising a summating means, integrating means operatively connected to said summating means, inverting means in feedback relationship between the output of said integrating means and the input of said summating means, first potentiometer means in each module for adjusting a time constant of a selector represented by said module, second potentiometer means in each module for adjusting the amplitude coefficient of a selector represented by said module, and summating means connected to each module for rendering an output function containing a series of orthogonal terms.
Claim 14
Dependent Claim
128 words
A model function generator for use with devices capable of generating an output transfer function response to an input function and thereBy determine the characteristics of an unknown process, said model function generator comprising a plurality of individual modules, each of said modules comprising a summating means, integrating means operatively connected to said summating means, inverting means in feedback relationship between the output of said integrating means and the input of said summating means, first potentiometer means in each module for adjusting a time constant of a selector represented by said module, second potentiometer means in each module for adjusting the amplitude coefficient of a selector represented by said module, and summating means connected to each module for rendering an output function containing a series of orthogonal terms.
Claim 15
Dependent Claim
141 words
A model function generator means for use with an apparatus for determining the transfer function of a system expressible as a series of polynomials, said model function generator comprising a plurality of individual modules having transfer functions which are generally orthonormal, each of said modules comprising a summer, an integrator operatively connected to said summer, an inverter in feedback relationship between said integrator and said summer, a first potentiometer in each module for selecting a time constant coefficient of terms of orthogonal polynomials in the transfer function to be determined, a second potentiometer in each module for selecting the amplitude coefficient of terms of orthogonal polynomials in the transfer function to be determined, and summating means connected to each module for rendering each of the polynomials in such output transfer function orthogonal with respect to each other of said modules orthogonal.
Claim 16
Dependent Claim
141 words
A model function generator means for use with an apparatus for determining the transfer function of a system expressible as a series of polynomials, said model function generator comprising a plurality of individual modules having transfer functions which are generally orthonormal, each of said modules comprising a summer, an integrator operatively connected to said summer, an inverter in feedback relationship between said integrator and said summer, a first potentiometer in each module for selecting a time constant coefficient of terms of orthogonal polynomials in the transfer function to be determined, a second potentiometer in each module for selecting the amplitude coefficient of terms of orthogonal polynomials in the transfer function to be determined, and summating means connected to each module for rendering each of the polynomials in such output transfer function orthogonal with respect to each other of said modules orthogonal.
References Cited (Backward Citations)
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1974-04-05 | 1974-10-05 | 1975-04-06 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1978-04-05 | 1978-10-05 | 1979-04-06 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1982-04-05 | 1982-10-05 | 1983-04-06 | $7700.00 | Window Closed / Lapsed |