Reference Summary: Diagonalization of LTI systems through similarity transformation and its dynamic interpretation.

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AEE582 3

AEE582 3

Review of frequency domain analysis. Bode plot and Nyquist plot.

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Introduction to the AE582 course. General review of control systems theory. Mathematical representation of LTI systems. Transfer ...

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Definition of robustness. What is the goal of Robust control? Nyquist stability criterion, phase, gain and time delay margins.

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Realizability. Sensitivity and complementary sensitivity transfer functions. Frequency shaping for good controller design.

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Eigenvalues and eigenvectors. Diagonalization of LTI systems through similarity transformation and its dynamic interpretation.

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State-space representation of LTI systems. How to go from sate-space to transfer function. Similarity transformations.

AEE582 9

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Linear algebra review. Vector spaces and subspaces. Column and null spaces of a matrix. Basis of a vector space.

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