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Controllability Definition: An LTI system is controllable if, for every a*(t d every T>0, there exists an input function u(t),0
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This is a bit strange, because previously our figure of merit when comparing one state-space model to another(page 8-8)was whether they reproduced the same same transfer function Now we have two very different models that result in the same transfer function
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Full-state Feedback Control How do we change the poles of the state-space system? Or, even if we can change the pole locations Where do we put the poles? Linear Quadratic Regulator Symmetric Root Locus How well does this approach work? Copyright [2001 by JOnathan dHow
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State-Space Systems Open-loop Estimators Closed-loop Estimators Observer Theory (no noise)-Luenberger IEEE TAC Vol 16, No. 6, pp. 596-602, December 1971 Estimation Theory(with noise)-Kalman Copyright [2001 by JOnathan dHow
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Closed-loop system analysis Robustness State-space -eigenvalue analysis Frequency domain- Nyquist theorem Sensitivity Copyright 2001 by Jonathan How
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MIMO Systems Singular Value Decomposition Multivariable Frequency Response Plots Copyright 2001 by Jonathan How
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Bounded gain There exist very easy ways of testing(analytically) whether S Gu)< SISO Bounded Gain Theorem: Gain of generic stable system
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Weighting Matrix Selection a good rule of thumb when selecting the weighting matrices Rxx (or Ru and R uu is to normalize
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1规则10 (接第21讲) 开环极点的分离角和开环零点的会合角是很重要的,因为航空/ 航天工具都存在离虚轴j很近的复数共轭极点和零点。我们可以利 用角条件,通过在开环零、极点附近取试验点来确定分离角和会合角
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在一定的时间间隔内,各位置上风速的平均值 几乎是不变的,但随高度增加而增大,这就是 平均风,又被称为稳定风,其周期大小约在10 分钟以上,远离一般结构物的自振周期
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