Reliable Robust H∞ Tracking Control for a Class of Uncertain Lur'e Singular Systems
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摘要: 针对一类不确定Lur'e奇异奇异系统, 研究了其可靠鲁棒跟踪控制问题. 通过凸多面体不确定性来描述控制系统表面故障, 采用了更为一般、更符合实际的故障模型来描述执行器和传感器故障. 分别给出了执行器故障、传感器故障以及控制表面故障情形的可靠鲁棒跟踪控制的基于线性矩阵不等式(LMIs)的充分条件. 确保相应的闭环控制系统是可靠的, 即闭环系统是具性能指标鲁棒稳定的, 且无论控制部件出现故障与否, 系统的输出都能无静差地跟踪系统的参考输入. 最后, 通过一个数值例子验证所提方法的有效性.Abstract: The problem of reliable robust H∞ tracking control for a class of uncertain Lur'e singular systems is studied. A practical and general failure model of actuator and sensor is considered by using convex polytopic uncertainties to describe control surface impairment. Some sufficient conditions are presented for the case of actuator, sensor and control surface failures in terms of linear matrix inequalities (LMIs). The resultant control systems are reliable in that they guarantee closed-loop system robust stability with H∞$ performance and the output tracking the reference signal without steady-state error when all control components are operational as well as when some control components experience failures. Finally, a numerical example is given to show the effectiveness of the proposed methods.
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