The optimal sequence for reset controllers
arXiv:2005.13877 · doi:10.23919/ECC51009.2020.9143690
Abstract
PID controllers cannot satisfy the high performance requirements since they are restricted by the water-bed effect. Thus, the need for a better alternative to linear PID controllers increases due to the rising demands of the high-tech industry. This has led many researchers to explore nonlinear controllers like reset control. Although reset controllers have been widely used to overcome the limitations of linear controllers in literature, the performance of the system varies depending on the relative sequence of controller linear and nonlinear parts. In this paper, the optimal sequence is found using high order sinusoidal input describing functions (HOSIDF). By arranging controller parts according to this strategy, better performance in the sense of precision and control input is achieved. The performance of the proposed sequence is validated on a precision positioning setup. The experimental results demonstrate that the optimal sequence found in theory outperforms other sequences.
References in corpus (5)
- 'Constant in gain Lead in phase' element - Application in precision motion control
- Resetting Disturbance Observers with application in Compensation of bounded nonlinearities like Hysteresis in Piezo-Actuators
- Beyond the Waterbed Effect: Development of Fractional Order CRONE Control with Non-Linear Reset
- Complex order control for improved loop-shaping in precision positioning
- Basic Properties and Stability of Fractional-Order Reset Control Systems
Cited by in corpus (7)
- Continuous reset element: Transient and steady-state analysis for precision motion systems
- Tuning of Constant in gain Lead in phase (CgLp) Reset Controller using higher-order sinusoidal input describing function (HOSIDF)
- A Frequency-Domain Stability Method for Reset Systems
- Band-Passing Nonlinearity in Reset Elements
- Tuning of a Class of Reset Elements Using Pseudo-Sensitivities
- Stacking Integrators Without Sacrificing the Overshoot in Reset Control Systems
- Reset band for mitigatation of quantization induced performance degradation