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A unity feedback system that uses proportional-integral (PI) control is shown in the figure.
The stability of the overall system is controlled by tuning the PI control parameters K P and K I . The maximum value of K I that can be chosen so as to keep the overall system stable or in the worst case, marginally stable (round off to three decimal places) is _______.
    Correct answer is '3.125'. Can you explain this answer?
    Most Upvoted Answer
    A unity feedback system that uses proportional-integral (PI) control i...
    Given unity feedback system is shown below,
    Characteristic equation of unity feedback system is,
    From the above equation it is clear that, the sufficient condition for the system to be stable is,
    KP>(-1) and K1>0
    The Routh table for above characteristic equation,
    For stability or marginal stability of given system, the coefficient of first column of Routh table should be positive or same sign so,
    Here, K I is a function of K P .
    Now, double derivative of KI is,
    It means, KI has maxima at K P = 4 .
    Thus, maximum value of KI at K P = 4 will be,
    Question_Type: 4
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    Community Answer
    A unity feedback system that uses proportional-integral (PI) control i...
    Given unity feedback system is shown below,
    Characteristic equation of unity feedback system is,
    From the above equation it is clear that, the sufficient condition for the system to be stable is,
    KP>(-1) and K1>0
    The Routh table for above characteristic equation,
    For stability or marginal stability of given system, the coefficient of first column of Routh table should be positive or same sign so,
    Here, K I is a function of K P .
    Now, double derivative of KI is,
    It means, KI has maxima at K P = 4 .
    Thus, maximum value of KI at K P = 4 will be,
    Question_Type: 4
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    A unity feedback system that uses proportional-integral (PI) control is shown in the figure.The stability of the overall system is controlled by tuning the PI control parameters K P and K I . The maximum value of K I that can be chosen so as to keep the overall system stable or in the worst case, marginally stable (round off to three decimal places) is _______.Correct answer is '3.125'. Can you explain this answer?
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    A unity feedback system that uses proportional-integral (PI) control is shown in the figure.The stability of the overall system is controlled by tuning the PI control parameters K P and K I . The maximum value of K I that can be chosen so as to keep the overall system stable or in the worst case, marginally stable (round off to three decimal places) is _______.Correct answer is '3.125'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A unity feedback system that uses proportional-integral (PI) control is shown in the figure.The stability of the overall system is controlled by tuning the PI control parameters K P and K I . The maximum value of K I that can be chosen so as to keep the overall system stable or in the worst case, marginally stable (round off to three decimal places) is _______.Correct answer is '3.125'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A unity feedback system that uses proportional-integral (PI) control is shown in the figure.The stability of the overall system is controlled by tuning the PI control parameters K P and K I . The maximum value of K I that can be chosen so as to keep the overall system stable or in the worst case, marginally stable (round off to three decimal places) is _______.Correct answer is '3.125'. Can you explain this answer?.
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