沈阳大学学报：自然科学版
瀋暘大學學報：自然科學版
침양대학학보：자연과학판
Journal of Shenyang University
2012年
5期
62-68
,共7页
非线性系统%动态输出反馈控制%S-过程%线性矩阵不等式(LMI)
非線性繫統%動態輸齣反饋控製%S-過程%線性矩陣不等式(LMI)
비선성계통%동태수출반궤공제%S-과정%선성구진불등식(LMI)
nonlinear systems%dynamic output feedback control%S-procedure%linear matrix inequality(LMI)
针对一类具有非线性不确定性的连续非线性系统研究了动态输出反馈H∞控制器的设计问题.所设计的控制器不仅使得闭环系统渐近稳定,而且满足H∞性能要求.提出了一种基于S-过程解决该类非线性不确定性的设计方法.基于李亚普诺夫稳定性和线性矩阵不等式技术给出了控制器存在的充分条件,并利用基于线性矩阵不等式的凸优化方法求解控制器.最后,通过一个仿真例子验证所提方法的有效性.
針對一類具有非線性不確定性的連續非線性繫統研究瞭動態輸齣反饋H∞控製器的設計問題.所設計的控製器不僅使得閉環繫統漸近穩定,而且滿足H∞性能要求.提齣瞭一種基于S-過程解決該類非線性不確定性的設計方法.基于李亞普諾伕穩定性和線性矩陣不等式技術給齣瞭控製器存在的充分條件,併利用基于線性矩陣不等式的凸優化方法求解控製器.最後,通過一箇倣真例子驗證所提方法的有效性.
침대일류구유비선성불학정성적련속비선성계통연구료동태수출반궤H∞공제기적설계문제.소설계적공제기불부사득폐배계통점근은정,이차만족H∞성능요구.제출료일충기우S-과정해결해류비선성불학정성적설계방법.기우리아보낙부은정성화선성구진불등식기술급출료공제기존재적충분조건,병이용기우선성구진불등식적철우화방법구해공제기.최후,통과일개방진례자험증소제방법적유효성.
The dynamic output feedback H∞ controller design for a class of nonlinear continuous-time systems with nonlinear uncertainties is concerned.The resulting design is such that the closed-loop system not only is asymptotically stable,but also meets the prescribed H∞ norm constraint.A new method which combines S-procedure approach to solve the nonlinear uncertainties is proposed.A sufficient condition for the existence of such a controller is obtained by using appropriate Lyapunov functional and linear matrix inequality(LMI) technique.In addition,based on this result,a convex LMI-based optimization method is developed to obtain the controller.Finally,a numerical example is provided to demonstrate the effectiveness of the proposed design.
