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Given the following state equations and the output equation b. *₁ =−x₁ + 2x₂ +26 x₂ =-3x₁ - x₂ + Su y = x₁ + 2x₂ +2u Draw the state diagram Find the characteristic roots

Given the following state equations and the output equation b. *₁ =−x₁ + 2x₂ +26 x₂ =-3x₁ - x₂ + Su y = x₁ + 2x₂ +2u Draw the state diagram Find the characteristic roots

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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Given the following state equations and the output equation b. *₁ =−x₁₂ + 2x₂ +26 x₂ =-3x₁ - x₂ + Su y = x₁ + 2x₂ +2u Draw the state diagram Find the characteristic roots
Transcribed Image Text:Given the following state equations and the output equation b. *₁ =−x₁₂ + 2x₂ +26 x₂ =-3x₁ - x₂ + Su y = x₁ + 2x₂ +2u Draw the state diagram Find the characteristic roots
Expert Solution
Introduction

As per the question we are given a linear dynamic control system with state variables x1 , x2 

input variable u and output variable y

From this system we have to find :

  1. The state-space representation and the corresponding state diagram
  2. The characteristic roots of the system matrix
steps

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