# What Is System Identification? | System Identification, Part 1

MATLAB2021-11-30

6281433561001#MATLAB#MathWorks#Simulink

83K views|2 years ago

ðŸ’« Short Summary

System identification involves developing models of dynamic systems using data to capture essential features and dynamics for various purposes like controller design and maintenance prediction. Models can be structured in different ways, such as white box or black box methods. System identification leverages correlations in data points to fit dynamic models and offers a better understanding of system functions. Parameters are adjusted using numerical methods to minimize a cost function and improve model accuracy. The gray box method combines system physics knowledge with data for parameter identification. The video promises more practical examples and insights in upcoming series.

âœ¨ Highlights

ðŸ“Š Transcript

âœ¦

Summary of System Identification Process in Dynamic Systems:

00:00System identification involves using data to create a model of a dynamic system to uncover its underlying dynamics.

Models are simplified representations of real systems that include essential features while omitting unnecessary details.

The purposes of models include controller design, state estimation, maintenance prediction, and formal analysis.

Understanding the system is crucial in determining the essential features to include in the model, which can be linear or nonlinear depending on relevance.

âœ¦

Summary of Modeling Approaches:

04:50Models can be structured using differential equations, process models, or neural networks to capture system dynamics.

White box modeling relies on understanding system dynamics to create a model.

Black box modeling involves unknown dynamics and uses system identification by exciting the system with input signals to learn a mathematical model.

âœ¦

Comparison between curve fitting and system identification in data analysis.

08:34Curve fitting extrapolates data by fitting a curve equation and adjusting parameters to predict future values.

System identification uses correlations in data points to fit a dynamic model, allowing predictions from different starting conditions and inputs.

System identification offers a better understanding of system functions and models by tuning parameters like damping ratio and natural frequency.

While curve fitting provides future value predictions, it lacks insights into the underlying mechanisms that created the data.

âœ¦

Using numerical methods for adjusting parameters and minimizing cost functions in system identification.

11:43The process includes fitting data to a transfer function with two poles, comparing real system behavior with model predictions, and evaluating model accuracy.

Various model structures, such as second-order transfer functions, nonlinear ARX models, and neural networks, are investigated.

Selecting the optimal model structure requires trial and error and leveraging existing knowledge about the system.

System identification aids in estimating model parameters and deriving differential equations for complex models.

âœ¦

Overview of the gray box method for identifying system parameters.

15:49The method involves combining system physics knowledge with input-output data for parameter identification.

Good quality data is crucial for fitting a model through numerical estimation techniques.

Model building from data complements deriving a model from first principles.

The segment teases upcoming series with more practical examples and insights for subscribers.

ðŸŽ¥ Related Videos

### What vaccinating vampire bats can teach us about pandemics | Daniel Streicker

### a16z Podcast | Things Come Together -- Truths about Tech in Africa

### 2024 TSCRS Applications of anterior segments diagnostic instruments in cataract surgery

### a16z Podcast | The Infrastructure of Total Health

### The Robot Lawyer Resistance with Joshua Browder of DoNotPay

### NES Controllers Explained

ðŸ”¥ Recently Summarized Examples