%0 Journal Article %T Asymptotic Stability of PID Controller for Nonlinear Mechanical Systems
非线性机械系统PID控制渐近稳定性分析 %A SU Yu-Xin %A ZHENG Chun-Hong %A
苏玉鑫 %A 郑春红 %A Peter C. Müller %J 自动化学报 %D 2008 %I %X In this paper,we provide an answer to the long- standing question of designing global asymptotically stable proportional-integral-derivative(PID)regulators for uncertain nonlinear mechanical systems.Our main contribution is to es- tablish the semiglobal asymptotic stability of the controlled sys- tem with the commonly used linear PID controller by using Lya- punov direct method and LaSalle invariance principle.Further- more,an improved nonlinear proportional-integral plus deriva- tive(NPI-D)controller is proposed to speed up the transient and achieve the global asymptotic stability of the closed-loop system. Simulations performed on a two degree-of-freedom(DOF)robot manipulator demonstrate the improved performance of the pro- posed NPI-D controller. %K PID control %K nonlinear PID control %K semiglobalasymptotic stability %K global asymptotic stability %K nonlinear mechanical systems
PID控制 %K 非线性PID控制 %K 半全局渐近稳定 %K 全局渐近稳定 %K 非线性机械系统 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=334B0488494DCF6F28C84C4E0D288E1C&yid=67289AFF6305E306&vid=339D79302DF62549&iid=59906B3B2830C2C5&sid=E2EDBBF9B5CDD657&eid=C28CDC724DDFD536&journal_id=0254-4156&journal_name=自动化学报&referenced_num=1&reference_num=12