An Adaptive Sliding Mode Control of Delta Operator Systems with Input Nonlinearity Containing Unknown Slope Parameters  

作　　者：LIU Leipo FU Zhumu SONG Xiaona 

机构地区：[1]College of Information Engineering,Henan University of Science and Technology,Luoyang 471023,China.

出　　处：《Journal of Systems Science & Complexity》2017年第3期535-549,共15页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.U1404610,61473115,61374077 and 61203047;Fundamental Research Project under Grant Nos.142300410293,142102210564 in the Science and Technology Department of Henan province;the Science and Technology Research Key Project under Grant No.14A413001 in the Education Department of Henan Province

摘　　要：The problem of observer-based adaptive sliding mode control of delta operator systems with time-varying delays subject to input nonlinearity is investigated. The slope parameters of this nonlinearity are unmeasured. A novel adaptive control law is established such that the sliding surface in the state-estimation space can be reached in a finite time. A delay-dependent sufficient condition for the asymptotic stability of both the error system and the sliding mode dynamics is derived via linear matrix inequality(LMI). Finally, a simulation example is presented to show the validity and advantage of the proposed method.

关 键 词：Delta operator systems input nonlinearity linear matrix inequality sliding mode control time-varying delays. 

分 类 号：O231[理学—运筹学与控制论]