Lyapunov stability and precise control of the frictional dynamics of a one-dimensional particle array
نویسندگان
چکیده
Yi Guo,1 Zhihua Qu,2 and Zhenyu Zhang3,4 1Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, New Jersey 07030, USA 2Department of Electrical and Computer Engineering, University of Central Florida, Orlando, Florida 32816, USA 3Condensed Matter Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA 4Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996, USA Received 8 July 2005; revised manuscript received 21 December 2005; published 17 March 2006
منابع مشابه
Control of frictional dynamics of a one-dimensional particle array
Control of frictional forces is required inmany applications of tribology.While the problem is approached by chemical means traditionally, a recent approach was proposed to control the system mechanically to tune frictional responses. We design feedback control laws for a one-dimensional particle array sliding on a surface subject to friction. The Frenkel–Kontorova model describing the dynamics...
متن کاملRobust Lyapunov-based Control of MEMS Optical Switches
In this paper, a robust PID control scheme is proposed for Micro-Electro-Mechanical-Systems (MEMS) optical switches. The proposed approach is designed in a way which solves two challenging and important problems. The first one is successful reference tracking and the second is mitigating the system nonlinearities. The overall system composed of nonlinear MEMS dynamics and the PID controller is ...
متن کاملRobust Lyapunov-based Control of MEMS Optical Switches
In this paper, a robust PID control scheme is proposed for Micro-Electro-Mechanical-Systems (MEMS) optical switches. The proposed approach is designed in a way which solves two challenging and important problems. The first one is successful reference tracking and the second is mitigating the system nonlinearities. The overall system composed of nonlinear MEMS dynamics and the PID controller is ...
متن کاملFuzzy Lyapunov stability and exponential stability in control systems
Fuzzy control systems have had various applications in a wide range of science and engineering in recent years. Since an unstable control system is typically useless and potentially dangerous, stability is the most important requirement for any control system (including fuzzy control system). Conceptually, there are two types of stability for control systems: Lyapunov stability (a special case ...
متن کاملThree-dimensional Vibration Suppression of an Euler-bernolli Beam via Boundary Control Method
In this paper, the general governing equations of three-dimensional vibrations of an Euler-Bernoulli Beam under influences of system dynamics are derived by the Hamiltonian method. Then two fundamental cases of a cantilever beam and a rotating beam are considered. The conventional methods for vibration suppression debit to expenses and make new problems such as control spillover because they ar...
متن کامل