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Q2. Consider a state space system with 1 c = [1 2 o]. A = 1 B = -3 5 -2 For each of the following desired polynomials, find a gain matrix K such that the characteristic polynomial of A- BK is same as the desired characteristic polynomial. a. s3 + 3s? – 5s + 2 b. s3 + s2 +s +1 c. s + 2s2 + 3s +4

Q2. Consider a state space system with 1 c = [1 2 o]. A = 1 B = -3 5 -2 For each of the following desired polynomials, find a gain matrix K such that the characteristic polynomial of A- BK is same as the desired characteristic polynomial. a. s3 + 3s? – 5s + 2 b. s3 + s2 +s +1 c. s + 2s2 + 3s +4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2. Consider a state space system with 1 c = [1 2 0]. A = ㅇ 1 B = -3 5 For each of the following desired polynomials, find a gain matrix K such that the characteristic polynomial of A – BK is same as the desired characteristic polynomial. а. s3 + 3s2 – 5s +2 b. s3 + s? +s +1 c. s + 2s2 + 3s +4
Transcribed Image Text:Q2. Consider a state space system with 1 c = [1 2 0]. A = ㅇ 1 B = -3 5 For each of the following desired polynomials, find a gain matrix K such that the characteristic polynomial of A – BK is same as the desired characteristic polynomial. а. s3 + 3s2 – 5s +2 b. s3 + s? +s +1 c. s + 2s2 + 3s +4
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