Consider the linear state-space model of a damped inverted pendulum. 0 1 b ml² 0 +-+₁ ml² a. Design a full-state feedback controller that leads to a critically-damped closed-loop response characterized by a single (repeated) pole p such that p<0 (express the control gains in terms of p and the system parameters). b. Find the threshold of the feedback gains required for stable response. c. From the two controllers: u=-k₁x₁ and u=-k₂x₂ which one can and which one cannot be used to stabilize this system (justify your answer)?

Consider the linear state-space model of a damped inverted pendulum. 0 1 b ml² 0 +-+₁ ml² a. Design a full-state feedback controller that leads to a critically-damped closed-loop response characterized by a single (repeated) pole p such that p<0 (express the control gains in terms of p and the system parameters). b. Find the threshold of the feedback gains required for stable response. c. From the two controllers: u=-k₁x₁ and u=-k₂x₂ which one can and which one cannot be used to stabilize this system (justify your answer)?

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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Subject Linear Control I need answer for MCQ