Question

1. In class, we used the PR Lemma to show that a positive real linear systems, \(\dot{x} = Ax + Bu\) \(y = Cx\) has relative degree of one \((CB \neq 0)\). Show that positive realness also implies a minimum phase phase property. (Hint: Write the system equations in normal form and apply PR Lemma.)

          1. In class, we used the PR Lemma to show that a positive real linear systems,
\(\dot{x} = Ax + Bu\)
\(y = Cx\)
has relative degree of one \((CB \neq 0)\). Show that positive realness also implies a minimum phase
phase property. (Hint: Write the system equations in normal form and apply PR Lemma.)

1. In class, we used the PR Lemma to show that a positive real linear systems,
ẋ = Ax + Bu
y = Cx
has relative degree of one (CB ≠ 0). Show that positive realness also implies a minimum phase
phase property. (Hint: Write the system equations in normal form and apply PR Lemma.)

Added by Sarah R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Ashwin Banarsee

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We are given the positive real linear system: x = Ax + Bu, y = Cx. Show more…

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1. In class, we used the PR Lemma to show that a positive real linear systems. x = Ax+ Bu y=Cx has relative degree of one (CB 0). Show that positive realness also implies a minimum phase phase property. (Hint: Write the system equations in normal form and apply PR Lemma.)