Design of Variable Structure Control for Mismatched Uncertain Singular Systems
-
摘要: 研究一类系统状态矩阵含非匹配不确定项的线性奇异系统的变结构控制设计问题.建立了能控规范受限等价分解形式.基于分解形式,利用线性矩阵不等式方法设计了切换面,并给出了满足系统状态到达切换面条件的变结构控制律.仿真示例表明,该设计方法不仅能保证系统状态轨迹实现滑模运动,而且保证系统的滑模运动正则、无脉冲且渐近稳定.Abstract: The design problem of variable structure control for a class of linear singular system with unmatched uncertainties in the state matrix was studied.The equivalent restrict decomposition form was established for the singular system with mismatched uncertainties.On the basis of this form,the switching surface was designed using the linear matrix inequality(LMI) method,and a variable structure control law,which ensures the system state to reach the switching surface,was presented.A simulation example shows that the design method guaranteed not only the sliding mode of the system state trajectory to be realized,but also the sliding mode to be regular,impulse-free,and asymptotically stable.
-
Key words:
- singular system /
- variable structure control /
- linear matrix inequality /
- mismatching /
- design
-
胡跃明,周其节,刘永清.广义系统的变结构控制[J].控制理论与应用,1993,10(5):567-572.HU Yueming,ZHOU Qijie,LIU Yongqing.Variable structure control of generalized systems[J].Control Theory and Applications,1993,10(5):567-572.[2] 岳东,刘永清.广义系统滑动模控制的研究[J].控制与决策,1997,12(1):58-63.YUE Dong,LIU Yongqing.Study of sliding mode control of singular systems[J].Control and Decision,1997,12(1):58-63.[3] 孙洁,乔威,程兆林.不确定奇异系统的变结构控制[J].山东大学学报,2005,40(5):52-56.SUN Jie,QIAO Wei,CHENG Zhaolin.Variable structure control for uncertain singular systems[J].Journal of Shangdong University,2005,40(5):52-56.[4] 马树萍,程兆林.未知输入离散时滞奇异系统的观测器设计[J].控制与决策,2006,21(2):163-166.MA Shuping,CHENG Zhaolin.Observer design for discrete time-delay singular systems with unknown inputs[J].Control and Decision,2006,21(2):163-166.[5] 温香彩,刘永清.奇异不确定系统的滑动模态控制[J].控制理论与应用,1995,12(1):114-119.WEN Xiangcal,LIU Yongqing.Sliding mode control for singular uncertainty systems[J].Control Theory and Applications,1995,12(1):114-119.[6] 杨冬梅,张庆灵,姚波.广义系统[M].北京:科学出版社,2004.[7] 俞立.鲁棒控制--线性矩阵不等式处理方法[M].北京:清华大学出版社,2002.[8] 高为炳.变结构控制的理论及设计方法[M].第2版.北京:科学出版社,1998.
点击查看大图
计量
- 文章访问数: 1395
- HTML全文浏览量: 80
- PDF下载量: 309
- 被引次数: 0