| 时变不确定切换广义系统的鲁棒最优保性能控制 |
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| 引用本文：李春明，田学民.时变不确定切换广义系统的鲁棒最优保性能控制[J].计算技术与自动化,2013,(1):1-5 |
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| 中文摘要:针对一类时变参数不确定切换广义系统，对其鲁棒最优保性能控制问题进行研究，假定其中的时变不确定性项是范数有界的，但不需要满足匹配条件。通过构造广义Lyapunov函数和线性矩阵不等式方法，给出系统鲁棒最优保性能控制器存在的充分条件。进一步，建立一个具有线性矩阵不等式约束的凸优化问题，得到鲁棒最优保性能控制律及闭环性能指标上界。最后用示例说明该方法的有效性。 |
| 中文关键词:切换广义系统 时变不确定性 鲁棒最优保性能控制 线性矩阵不等式 |
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| Robust Optimal Guaranteed Cost Control for Time-varying Uncertain Switched Singular Systems |
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| Abstract:This paper studies the problem of robust optimal guaranteed cost control for a class of time-varying uncertain switched singular systems. Suppose that the time-varying uncertain parameters are norm-bounded, but the matched conditions are not required to satisfy. A new sufficient condition of the existence of robust optimal guaranteed cost controllers is given for systems by constructing the generalized Lyaponov function and taking the linear matrix inequality approach. Furthermore, a convex optimization problem with linear matrix inequalities (LMIs) constraints is formulated. Robust optimal guaranteed cost control law and the minimization of the upper boundary of closed-loop performance index are obtained. Finally, a numerical example is given to show the potential of the proposed technique. |
| keywords:switched singular systems time-varying uncertainty robust optimal guaranteed cost control linear matrix inequality (LMI) |
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