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research-article

Variable Structure Control of a Mass Spring Damper Subjected to a Unilateral Constraint: Application to RF MEMS Switches

[+] Author and Article Information
Amer Allafi

Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan 48824, USA
allafiam@msu.edu

Premjeet Chahal

Department of Electrical and Computer Engineering, Michigan State University, East Lansing, Michigan 48824, USA
chahal@egr.msu.edu

Ranjan Mukherjee

Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan 48824, USA
mukherji@egr.msu.edu

Hassan Khalil

Department of Electrical and Computer Engineering, Michigan State University, East Lansing, Michigan 48824, USA
khalil@msu.edu

1Corresponding author.

ASME doi:10.1115/1.4039153 History: Received February 12, 2017; Revised December 05, 2017

Abstract

A feedback control strategy is presented for improving the transient response of the ubiquitous mass-spring-damper (MSD) system; the closed-loop system has a small settling time with no overshoot for a step input. This type of response is ideal for MSD systems subjected to a unilateral constraint such as RF MEMS switches, which are required to close in a short period of time without bouncing. The control strategy switches the stiffness of the MSD between its nominal value and a negative value, resulting in a hybrid dynamical system. A phase portrait analysis of the hybrid system is carried out to establish the asymptotic stability property of the equilibrium and quantify the transient response. Simulation results are presented using parameter values of a real RF MEMS switch from the literature. As compared to open-loop strategies that are currently used, the proposed feedback control strategy promises to provide comparable, switch-closing times with robust performance and eliminate bouncing.

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