A qualitative bound in robustness of stabilization by statefeedback |
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| Authors: | Olbrot AW Cieslik J |
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| Affiliation: | Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN; |
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| Abstract: | It is proved that placing the poles of a linear time-invariant system arbitrarily far to the left of the imaginary axis is not possible if small perturbations in the model coefficients are taken into account. Given a nominal controllable system (A0, B 0) with one input and at least two states and an open ball around B0 (no matter how small), there exists a real number γ and a perturbation B within that ball such that for any feedback matrix K placing the eigenvalues of A 0+B0K to the left of Res=γ, there is an eigenvalue of A0+BK with real part not less than γ |
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