Fractional-order single state reset element

This paper proposes a fractional-order reset element whose architecture allows for the suppression of nonlinear effects for a range of frequencies. Suppressing the nonlinear effects of a reset element for the desired frequency range while maintaining it for the rest is beneficial, especially when it is used in the framework of a “Constant in...

Augmented fractional-order reset control: Application in precision mechatronics

Linear control such as PID possesses fundamental limitations, seen through the Waterbed effect. Reset control has been found to be able to overcome these limitations, while still maintaining the simplicity and ease of use of PID control due to its compatibility with the loop shaping method. However, the resetting action also gives rise to...

Continuous reset element: Transient and steady-state analysis for precision motion systems

This paper addresses the main goal of using reset control in precision motion control systems, breaking of the well-known “Waterbed effect”. A new architecture for reset elements will be introduced which has a continuous output signal as opposed to conventional reset elements. A steady-state precision study is presented, showing the steady...

Shaping Nonlinearity in Reset Control Systems to Realize Complex-Order Controllers: Application in Precision Motion Control

This dissertation addresses the demand for faster, more precise, and robust controllers in the precision motion industry. Traditional linear controllers have limitations due to the waterbed effect and Bode’s phase-gain relationship. To overcome these limitations, complex-order controllers are explored in this study. The dissertation focuses on...