Stabilizing controller design for nonlinear fractional order systems with time varying delays

• 作者: AZIZI Abdollah FOROUZANFAR Mehdi
• 来源期刊: 系统工程与电子技术（英文版）
• 年，卷（期）: 2021,（3）
• 所属期刊栏目: CONTROL THEORY AND APPLICATION
• 页码范围: 681-689
• 页数: 9页
• 语种: 英文
• DOI: 10.23919/JSEE.2021.000058

摘要

To deal with stabilizing of nonlinear affine fractional order systems subject to time varying delays,two methods for finding an appropriate pseudo state feedback controller are dis-cussed.In the first method,using the Mittag-Lefler function,Laplace transform and Gronwall inequality,a linear stabilizing controller is derived,which uses the fractional order of the delayed system and the upper bound of system nonlinear func-tions.In the second method,at first a sufficient stability condi-tion for the delayed system is given in the form of a simple linear matrix inequality(LMI)which can easily be solved.Then,on the basis of this result,a stabilizing pseudo-state feedback control-ler is designed in which the controller gain matrix is easily com-puted by solving an LMI in terms of delay bounds.Simulation results show the effectiveness of the proposed methods.