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Limit cycle analysis of active disturbance rejection control system with two nonlinearities
1State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China.
ISA Transactions
|May 6, 2014
Summary
Limit cycles in nonlinear control systems can be suppressed by carefully tuning parameters in active disturbance rejection control (ADRC) with fal nonlinearities. This study analyzes these limit cycles using frequency domain methods for a fast tool servo system.
Area of Science:
- Control Engineering
- Nonlinear System Analysis
- Robotics and Automation
Background:
- Active disturbance rejection control (ADRC) can introduce complex nonlinearities.
- Limit cycles are common in nonlinear systems and can lead to system failure.
Purpose of the Study:
- To analyze the existence of limit cycles in a second-order fast tool servo system using ADRC with two fal nonlinearities.
- To investigate the influence of system parameters on limit cycle behavior.
Main Methods:
- Frequency domain analysis using describing function technique.
- Transfer function representation for nonlinear system characterization.
- Derivation of describing functions for fal nonlinearities in series.
Main Results:
- The study provides a method to characterize nonlinear systems with series fal nonlinearities.
- Analysis reveals that carefully chosen parameters can suppress limit cycles.
- Time-domain simulations validate the accuracy of the describing function predictions.
Conclusions:
- Limit cycles in ADRC systems with fal nonlinearities are predictable and controllable.
- Parameter tuning is crucial for mitigating limit cycle oscillations in fast tool servo systems.
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