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The closed-loop transfer function of a negative unity feedback system is given by

The closed-loop transfer function of a negative unity feedback system is given by

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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The closed-loop transfer function of a negative unity feedback system is given by S³ + 1 T(s) 254 +5² + 2s | Determine the system stability using the Routh Hurwitz criterion to stability. Depending on the case, use the following required method: (Choose only one preferred method) Case 1: Apply the usual procedure of the Routh array. Case 2: Apply the Reciprocal of Roots and Reverse Coefficients Case 3: Apply Auxiliary Polynomial Answer the following questions: • Using the appropriate method in generating the "final" Routh table, enter the elements in the sª row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the s³ row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the s² row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the s¹ row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the sº row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Considering the first column of the "final" Routh table generated, how many sign change occurred? Number of poles in the left-half-plane?
Transcribed Image Text:The closed-loop transfer function of a negative unity feedback system is given by S³ + 1 T(s) 254 +5² + 2s | Determine the system stability using the Routh Hurwitz criterion to stability. Depending on the case, use the following required method: (Choose only one preferred method) Case 1: Apply the usual procedure of the Routh array. Case 2: Apply the Reciprocal of Roots and Reverse Coefficients Case 3: Apply Auxiliary Polynomial Answer the following questions: • Using the appropriate method in generating the "final" Routh table, enter the elements in the sª row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the s³ row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the s² row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the s¹ row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the sº row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Considering the first column of the "final" Routh table generated, how many sign change occurred? Number of poles in the left-half-plane?
Number of poles in the jw-axis? Number of poles in the right half plane? * What is the stability condition of the given system? A) Stable (B) Unstable C) Marginally Stable
Transcribed Image Text:Number of poles in the jw-axis? Number of poles in the right half plane? * What is the stability condition of the given system? A) Stable (B) Unstable C) Marginally Stable
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