Frequency-domain Analysis for Infinite Resets Systems∗

Reset control systems have possessed the potential to meet the demands of machines, such as faster response times, improved disturbance rejection and enhanced tracking performance. However, prior research on the analysis and design of reset controllers has been restricted to the assumption of two resets per period, neglecting multiple-reset...

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...

Optimal reset law design based on guaranteed cost control method for Lipschitz nonlinear systems

This article proposes a systematic approach for optimal reset law design of a class of nonlinear systems. By using the guaranteed cost control method, sufficient conditions for the design of optimal reset law are derived in terms of linear matrix inequalities. In an offline design procedure, the reset law is computed that minimizes the upper...

Frequency-Domain Analysis of "Constant in Gain Lead in Phase (Cglp)" Reset Compensators: Application to precision motion systems

Proportional Integral Derivative (PID) controllers dominate the industry and are used in more than 90 percent of machines in this era. One of the reason for the popularity of these controllers is the existence of easy to use frequency-domain analysis tools such as loop-shaping for this type of controller. Due to the advancement of technology in...