Parametric universal nonlinear dynamics approximator and use

a nonlinear dynamics and approximator technology, applied in adaptive control, process and machine control, instruments, etc., can solve the problems of inability to arrive at analytically at such solutions in most real-world systems, inability to apply each of these approaches to real-world complex systems, and inability to accurately predict the effect of the first principle information

Inactive Publication Date: 2005-08-25
ROCKWELL AUTOMATION TECH
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  • Claims
  • Application Information

AI Technical Summary

Benefits of technology

This patented method helps scientists use their expertise more efficiently during processes like manufacturing or production. It uses data from past experience to predict how well things will behave over future times based on current conditions. These predictions can then help optimize these systems by adjusting certain parameters accordingly.

Problems solved by technology

This patents discuss various technical problem areas related to mixed fluid dynamics simulation (MFES)-based modelling processes involving neuronal networks. Specifically, these include learning complex relationships within parameterized representations called Feed Related Artificial Intelligence Group Interaction Function Models (FIMINS's); developing hybrid models without explicitly introduces new terms; identifying hidden parts during training which can impact performance metrics like error probability estimates due to unknown factors associated therewith; improving upon assumptions made under certain conditions while avoiding them altogether; exploring the effects of different mathematical functions applied over time to optimize the design of quantum circuits for chemical engineering applications.

Method used

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  • Parametric universal nonlinear dynamics approximator and use
  • Parametric universal nonlinear dynamics approximator and use
  • Parametric universal nonlinear dynamics approximator and use

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Incorporation by Reference

[0078] The following references are hereby incorporated by reference in their entirety as though fully and completely set forth herein:

[0079] U.S. patent application Ser. No. 10 / 350,830, titled “Parameterizing a Steady State Model Using Derivative Constraints”, filed Jan. 24, 2003, whose inventor was Gregory D. Martin.

Terms

[0080] The following is a glossary of terms used in the present application:

[0081] Objective Function—a mathematical expression of a desired behavior or goal.

[0082] Constraint—a limitation on a property or attribute used to limit the search space in an optimization process.

[0083] Optimizer—a tool or process that operates to determine an optimal set of parameter values for a system or process by solving an objective function, optionally subject to one or more constraints.

[0084] Control Variables—process outputs, e.g., output states of the process or system being controlled.

[0085] Manipulated Variables—manipulable inputs to the pr

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Abstract

System and method for modeling a nonlinear process. A combined model for predictive optimization or control of a nonlinear process includes a nonlinear approximator, coupled to a parameterized dynamic or static model, operable to model the nonlinear process. The nonlinear approximator receives process inputs, and generates parameters for the parameterized dynamic model. The parameterized dynamic model receives the parameters and process inputs, and generates predicted process outputs based on the parameters and process inputs, where the predicted process outputs are useable to analyze and/or control the nonlinear process. The combined model may be trained in an integrated manner, e.g., substantially concurrently, by identifying process inputs and outputs (I/O), collecting data for process I/O, determining constraints on model behavior from prior knowledge, formulating an optimization problem, executing an optimization algorithm to determine model parameters subject to the determined constraints, and verifying the compliance of the model with the constraints.

Description

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Claims

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Application Information

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Owner ROCKWELL AUTOMATION TECH
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