Adaptive Sliding Mode Control for a Class of Polynomial Fuzzy Systems Based on SOS Method
This paper investigates the problem of designing a sliding mode controller for a class of continuous polynomial fuzzy systems with external disturbances.It should be noted that the local input matrix Bi(x)of the considered system isn”t equal to one another and the upper norm-bounds of disturbances could not be known in advance.We rewrite every input matrix Bi(x)using the basis matrix B(x)firstly.Second,based on the rewritten system,a novel sliding mode surface s(t)is presented.The sliding mode surface”s parameter matrix can be obtained in terms of the solution of the provided SOS conditions.Then,an adaptive sliding mode controller is provided to stabilize the considered system.It could make the state of the considered system drive onto s(t)and avoid the state escaping from the surface in the subsequent time.Last,a practical example is provided to demonstrate the effectiveness of the proposed approach.
Sliding mode control (SMC) Polynomial fuzzy systems (PFSs) Sum of Squares (SOS) T-S fuzzy system Linear matrix inequalities (LMIs)
Wang Yingying Zhang Huaguang Zhang Jianyu Wang Yingchun
School of Information Science and Engineering,Northeastern University,Shenyang,110819,P.R.China School of Information Science and Engineering,Northeastern University,Shenyang,110819,P.R.China;Liao
国内会议
厦门
英文
116-121
2017-11-17（万方平台首次上网日期，不代表论文的发表时间）