Robust state feedback control of LTV systems: Nonlinear is better than linear

Robust state feedback control of LTV systems: Nonlinear is better than linear
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DOI:
10.23919/ecc.1997.7082456
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发表时间:
1997-07
期刊:
1997 European Control Conference (ECC)
影响因子:
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通讯作者:
F. Blanchini;A. Megretski
F. Blanchini;A. Megretski
中科院分区:
其他
文献类型:
--
作者:
F. Blanchini;A. Megretski

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给出了具有快速时变不确定系数的线性控制系统的例子,这些系统可以用非线性无记忆状态反馈镇定,但不能用线性时不变动态状态反馈镇定。通过其中一个例子,我们表明,闭环二次稳定裕度可能比实际的稳定裕度无穷小。
Examples of linear control systems with fast time-varying uncertain coefficients arc given, which can be stabilized by a nonlinear memoryless state feedback, but cannot be stabilized by a linear time invariant dynamic state feedback. By means of one of these examples we show that the closed-loop quadratic stability margin may be infinitely smaller than the actual stability margin.