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Related Concept Videos

Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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Related Experiment Video

Updated: Jul 12, 2026

Interactive and Visualized Online Experimentation System for Engineering Education and Research
08:35

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

Safety control for nonlinear systems with unknown relative degree.

Yupeng Shi1, Lijun Long2, Lingbo Geng3

  • 1College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China.

ISA Transactions
|July 10, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a new safety control method for nonlinear systems with unknown relative degrees. The approach ensures system safety by estimating derivatives of the safety function, avoiding prior knowledge of system dynamics.

Keywords:
Control input filterHigh-order switching differentiatorSafety controlUnknown relative degree

Related Experiment Videos

Last Updated: Jul 12, 2026

Interactive and Visualized Online Experimentation System for Engineering Education and Research
08:35

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

Area of Science:

  • Control Engineering
  • Nonlinear System Analysis
  • Robotics

Background:

  • Nonlinear systems often face safety challenges due to multiple constraints.
  • Existing control methods typically require prior knowledge of the system's relative degree, limiting their applicability.

Purpose of the Study:

  • To develop a novel safety control approach for nonlinear systems with unknown relative degrees.
  • To guarantee system safety under multiple, potentially time-varying constraints.

Main Methods:

  • A control input filter and a high-order switching differentiator (HOSD) are employed.
  • The time-derivatives of the safety function are estimated to inform control design.
  • The method avoids assumptions about the system's relative degree.

Main Results:

  • The proposed control design effectively guarantees the safety of nonlinear systems.
  • The approach demonstrates robustness even when the relative degree is unknown.
  • Validation through a numerical example and a practical 2-mass system.

Conclusions:

  • The developed safety control strategy is effective for nonlinear systems with unknown relative degrees.
  • The method offers a significant advancement by removing the need for explicit relative degree information.
  • The approach is validated for practical applications.