30 Aug 2023

Linear System Theory (Part III, Controllability & Observability)

INTRODUCTION TO LINEAR SYSTEM THEORY

Keypoints:

  • Controllability
    • Definition
    • Controllability matrix image
    • Controllability Gramian image
    • PBH test: two theorems image
    • Controllability forms image
  • Observability
    • Definition
    • Observability matrix image
    • Observability Gramian image
    • PBH test: two theorems image
    • Observability forms image

This file is based on ME 530.616 Introduction to Linear Systems Theory by Prof. Louis Whitcomb

Controllability Matrix

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Controllability Gramian

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Observability Matrix

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Observability Gramian

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Controllability PBH Test

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Observability PBH Test

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Controllability Forms

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Observability Forms

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