000063179 001__ 63179
000063179 005__ 20190316233613.0
000063179 0247_ $$2doi$$a10.1016/j.conengprac.2006.06.002
000063179 02470 $$2DAR$$a9820
000063179 02470 $$2ISI$$a000242760200006
000063179 037__ $$aARTICLE
000063179 245__ $$aRobust Controller Design by Linear Programming with Application to a Double-Axis Positioning System
000063179 269__ $$a2007
000063179 260__ $$c2007
000063179 336__ $$aJournal Articles
000063179 500__ $$aPrj_ControllerDesignLinProg Prj_RobustRST_PosSyst
000063179 520__ $$aA linear programming approach is proposed to tune fixed-order linearly parameterized controllers for stable LTI plants. The method is based on the shaping of the open-loop transfer function in the Nyquist diagram. A lower bound on the crossover frequency and a new linear stability margin which guarantees lower bounds for the classical robustness margins are defined. Two optimization problems are proposed and solved by linear programming. In the first one the robustness margin is maximized for a given lower bound on the crossover frequency, whereas in the second one the integrated error is minimized with constraints on the new stability margin. The method can directly consider multi-model as well as frequency-domain uncertainties. An application to a high-precision double-axis positioning system illustrates the effectiveness of the proposed approach.
000063179 6531_ $$aPID Controller
000063179 6531_ $$aRobust Controller
000063179 6531_ $$aLinear Programming
000063179 6531_ $$aConvex Optimization
000063179 6531_ $$aLinear Motor
000063179 700__ $$0240447$$g139973$$aKarimi, A.
000063179 700__ $$0240767$$g128370$$aKunze, M.
000063179 700__ $$aLongchamp, R.$$g105690$$0242469
000063179 773__ $$j15$$tControl Engineering Practice$$k2$$q197-208
000063179 8564_ $$uhttp://www.elsevier.com/locate/conengprac$$zURL
000063179 8564_ $$uhttps://infoscience.epfl.ch/record/63179/files/CEP_2006_Karimi.pdf$$zn/a$$s2174636
000063179 8564_ $$uhttps://infoscience.epfl.ch/record/63179/files/CEP_2006_Karimi_WK.zip$$zn/a$$s1783197
000063179 909C0 $$0252053$$pLA
000063179 909CO $$particle$$ooai:infoscience.tind.io:63179$$qGLOBAL_SET$$pSTI
000063179 937__ $$aLA-ARTICLE-2005-023
000063179 973__ $$rREVIEWED$$sPUBLISHED$$aEPFL
000063179 980__ $$aARTICLE