Consider the following ODE. d*z/dt* = 2-d?z/dt2 +6 dz/dt + 16-z +26-u +3•du/dt + bz'd'u/dt? in which b2 is a constant. a) Obtain a valid state space model for representing the given ODE ( b) Based on the fact that b2 accounts for the effect of d'u/dt2 in the response of the system, how important is that coefficient ( b2 ) for the controllability of the system? And how relevant is it ( b2 ) for the stability of the system? Justify both answers. ( c) Would b2 have any effect on the observability of the system? (1

Consider the following ODE. dz/dt = 2-d?z/dt2 +6 dz/dt + 16-z +26-u +3•du/dt + bz'd'u/dt? in which b2 is a constant. a) Obtain a valid state space model for representing the given ODE ( b) Based on the fact that b2 accounts for the effect of d'u/dt2 in the response of the system, how important is that coefficient ( b2 ) for the controllability of the system? And how relevant is it ( b2 ) for the stability of the system? Justify both answers. ( c) Would b2 have any effect on the observability of the system? (1

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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To further enhance discussion and better understanding of Boolean rules and K- map, how would you simplify below standard SOPs using K-map. F(A,B,C,D) = A'B'C'D' + A'B'C'D + A'B'CD+A'B'CD'+A'BCD Hint: construct K-map, then write simplified Boolean SOP expression for each group, but make sure eliminate variables which have different values in the group.
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