Frequency Domain Stability Method for Reset Systems
Today, linear PID controllers cannot satisfy requirements of high-precision industry due to the development of technology. According to the literature, reset controllers can overcome this important barrier. However, similar to other non-linear controllers, stability analysis for these controllers is complex and needs parametric models of the systems. Consequently, the applicability of these controllers may diminish in industry. The well-known Hb method is one of the solutions of this significant problem. Nevertheless, assessing the Hb condition in the frequency-domain is complex, particularly for high dimensional plants. Furthermore, it cannot assess UBIBS stability of reset control systems in the case of reseting to non-zero values. In this paper, the aforementioned problems have been solved for the first and second order reset elements and a frequency-domain approach for assessing stability of reset control systems is developed. Finally, some practical examples are presented to demonstrate the effectiveness of the proposed approach to use the frequency response measurement directly to assess the stability.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Frequency Domain Stability and Convergence Analysis for General Reset Control Systems Architecture
A key factor that generates significant interest in reset control systems, especially within industrial contexts, is their potential to be designed using a frequency-domain loop-shaping procedure. On the other hand, form…
Frequency Response Analysis for Reset Control Systems: Application to Predict Precision of Motion Systems
The frequency response analysis describes the steady-state responses of a system to sinusoidal inputs at different frequencies, providing control engineers with an effective tool for designing control systems in the freq…
Closed-loop frequency analyses of reset systems
Today, linear controllers cannot satisfy requirements of high-tech industry due to fundamental limitations like the waterbed effect. This is one of the reasons why nonlinear controllers, such as reset elements, are recei…
Higher-Order Sinusoidal Input Describing Functions for Open-Loop and Closed-Loop Reset Control with Application to Mechatronics Systems
Reset control enhances the performance of high-precision mechatronics systems. This paper introduces a generalized reset feedback control structure that integrates a single reset-state reset controller, a shaping filter …
Steady-state nonlinearity of open-loop reset systems
In this paper, we introduce a new representation for open-loop reset systems. We show that at steady-state a reset integrator can be modelled as a parallel interconnection of the base-linear system and piece-wise constan…