A Positioning system drives a tester in electronic manufacturing processes. The system is made of a power amplifier, a motor field circuit, and a DC motor, as shown in the block diagram: u(t) v(t) i(t) K (1)e Amplifier Field circuit Motor The inputs and outputs of these variables are related by the following differential equations: de dr di 1) + e(t) = i(t) 2) dt + 5-i(t) = v(t) 3) v(t) = K•u(t) , Kis a constant a) Derive a state space equation for the open-loop system. (Define states, input, output and all the matrices). b) Is the system completely controllable (reachable) and observable? c) Find eigen values of the open-loop system.

A Positioning system drives a tester in electronic manufacturing processes. The system is made of a power amplifier, a motor field circuit, and a DC motor, as shown in the block diagram: u(t) v(t) i(t) K (1)e Amplifier Field circuit Motor The inputs and outputs of these variables are related by the following differential equations: de dr di 1) + e(t) = i(t) 2) dt + 5-i(t) = v(t) 3) v(t) = K•u(t) , Kis a constant a) Derive a state space equation for the open-loop system. (Define states, input, output and all the matrices). b) Is the system completely controllable (reachable) and observable? c) Find eigen values of the open-loop system.

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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