Question
QUESTION 15
Consider a critically damped second order system with no zeros. Its natural frequency is 6.2 rad/s and its low frequency gain is 0.2.
If using a proportional controller, calculate the value of the controller gain kp such that the damping ratio of the closed loop system is equal to 0.7071. Give the numerical answer to 2 decimal places.
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        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
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        860μstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
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        2.73mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
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        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
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        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
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        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
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      • select * from `subjects` where `subjects`.`id` in (57)
        840μstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
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        1.16mstwenty4_siteHomeworkLibrary.php#260
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        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
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