QUESTION 7 Consider the system described by the state and output equations below: x₁ (t) = a₁x₁ (t) + a₁x₂ (1) + b₁u(t) 11 1 12 2 where: . x₂(t) = a₁₂₁*₁ (1) + a₂*₂ (1) + b₂u (1) y (t) = c₁x₁ (t)+c₂x₂ (1) <=8 •a11=-7₁a12= -2, a 21=2, and a 22= . b₁ = 4 and b₁₂=0 1 • C₁= 1 and c ₂ = 0 What is the value of the determinant of the controllability matrix? If necessary, round your answer to 2 decimal places. Given the system described in question 7, where: a =5, a=4, a. = -5, and a = 3, 12 21 .b₁ = 2 and b₂=0 . C c₁=1 and c₁₂=0 design a state-feedback law in the form u(t)=-k₁x₁ (t)-k₂x₂ (1) such that the closed-loop eigenvalues are both equal to -3 What is the value of of k,? If necessary, round your answer to 2 decimal places.

QUESTION 7 Consider the system described by the state and output equations below: x₁ (t) = a₁x₁ (t) + a₁x₂ (1) + b₁u(t) 11 1 12 2 where: . x₂(t) = a₁₂₁₁ (1) + a₂₂ (1) + b₂u (1) y (t) = c₁x₁ (t)+c₂x₂ (1) <=8 •a11=-7₁a12= -2, a 21=2, and a 22= . b₁ = 4 and b₁₂=0 1 • C₁= 1 and c ₂ = 0 What is the value of the determinant of the controllability matrix? If necessary, round your answer to 2 decimal places. Given the system described in question 7, where: a =5, a=4, a. = -5, and a = 3, 12 21 .b₁ = 2 and b₂=0 . C c₁=1 and c₁₂=0 design a state-feedback law in the form u(t)=-k₁x₁ (t)-k₂x₂ (1) such that the closed-loop eigenvalues are both equal to -3 What is the value of of k,? If necessary, round your answer to 2 decimal places.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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