Finite-time Control of Linear Singular Systems with Parametric Uncertainties and Disturbances
Finite-time Control of Linear Singular Systems with Parametric Uncertainties and Disturbances
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发表时间：
2005
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通讯作者：
Feng Jun
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作者：
Feng Jun
本文引入了线性广义系统有限时间稳定性的概念，研究了具有时变参数不确定性和外部扰动的线性广义系统的有限时间控制问题。扰动满足一个具有参数不确定性的动力系统。苏？给出了状态反馈鲁棒有限时间镇定的充分条件。该条件被转化为一个涉及限制线性矩阵不等式（LMI）的可行性问题。对约束线性矩阵不等式给出了详细的求解方法，最后通过一个例子说明了结果的有效性。
The concept of finite-time stability for linear singular system is induced in this paper.Finite-time control problem is considered for linear singular systems with time-varying parametricuncertainties and exogenous disturbances. The disturbance satisfies a dynamical system with para-metric uncertainties. A su?cient condition is presented for robust finite-time stabilization via statefeedback. The condition is translated to a feasibility problem involving restricted linear matrix in-equalities (LMIs). A detailed solving method is proposed for the restricted linear matrix inequalities.Finally, an example is given to show the validity of the results.