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ch06 - S I X Stability SOLUTIONS TO CASE STUDIES CHALLENGES...

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S I X Stability SOLUTIONS TO CASE STUDIES CHALLENGES Antenna Control: Stability Design via Gain From the antenna control challenge of Chapter 5, T(s) = 76.39K s 3 +151.32s 2 +198s+76.39K Make a Routh table: s 3 1 198 s 2 151.32 76.39K s 1 29961.36-76.39K 151.32 0 s 0 76.39K 0 From the s 1 row, K<392.2. From the s 0 row, 0<K. Therefore, 0<K<392.2. UFSS Vehicle: Stability Design via Gain G 3 = − K 1 2 3 = (0.25 s G + 0.10925) K 1 s 4 + 3.483 s 3 + 3.465 s 2 + 0.60719 s G T ( s ) = G 3 ( s ) 1 + G 3 ( s ) = (0.25 s + 0.10925) K 1 s 4 + 3.483 s 3 + 3.465 s 2 + 0.25( K 1 + 2.4288) s + 0.10925 K 1
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