Problem 1: State-variable models 1. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. 2. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results 3. A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications? Do not just summarize your solution procedure. For each system described below, find the state-variable matrices A, B, C, D and the eigenvalues of the system matrix A. The only output is the ODE variable itself, unless otherwise specified. (a) The system described by the ODE 2x+3x+ 1x +4x = 7ƒ(1) (b) The system described by the transfer function G(s): = (c) The system described by the system of ODES: 4 9s²+2s+7 mp + ki(p-q) = fi(1) m₂q-ki(p-q) +k2q = f2(1) where the outputs are p and q. m₁ = 1, m₂ = 3, k₁ = 1, k₂ = 10. (d) The system described by the system of ODES: where the output is p- q. No reflection necessary. 15p+7p 4q +30p - 15q = 0 6q-15p + 15q - 4p +4q = f(t)
Problem 1: State-variable models 1. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. 2. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results 3. A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications? Do not just summarize your solution procedure. For each system described below, find the state-variable matrices A, B, C, D and the eigenvalues of the system matrix A. The only output is the ODE variable itself, unless otherwise specified. (a) The system described by the ODE 2x+3x+ 1x +4x = 7ƒ(1) (b) The system described by the transfer function G(s): = (c) The system described by the system of ODES: 4 9s²+2s+7 mp + ki(p-q) = fi(1) m₂q-ki(p-q) +k2q = f2(1) where the outputs are p and q. m₁ = 1, m₂ = 3, k₁ = 1, k₂ = 10. (d) The system described by the system of ODES: where the output is p- q. No reflection necessary. 15p+7p 4q +30p - 15q = 0 6q-15p + 15q - 4p +4q = f(t)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Problem 1: State-variable models
1. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a
coordinate system and relevant labels.
2. Final answer with appropriate units and significant figures. You can use the fprintf() command in
MATLAB to format numerical results
3. A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some
implications? Do not just summarize your solution procedure.
For each system described below, find the state-variable matrices A, B, C, D and the eigenvalues of
the system matrix A. The only output is the ODE variable itself, unless otherwise specified.
(a) The system described by the ODE 2x+3x+ 1x +4x = 7ƒ(1)
(b) The system described by the transfer function G(s):
=
(c) The system described by the system of ODES:
4
9s²+2s+7
mp + ki(p-q) = fi(1)
m₂q-ki(p-q) +k2q = f2(1)
where the outputs are p and q. m₁ = 1, m₂ = 3, k₁ = 1, k₂ = 10.
(d) The system described by the system of ODES:
where the output is p- q.
No reflection necessary.
15p+7p 4q +30p - 15q = 0
6q-15p + 15q - 4p +4q = f(t)
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