Hey! I'm in the work of designing a controller for a zeta converter, it is a fourth-order system.
I tried ways like the Ziegler-Nicols method, Root locus method using Control System Designer in Matlab. But couldn't get any satisfactory outcome. My bad.
Rajesh Sharma Rajendran
in my pointof you the model reduction methods are very easy and simplified the system to 2nd or 1st order.
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Ravilla Madhusudan
Follow the below links, it may be helpful for your work
https://in.mathworks.com/matlabcentral/answers/256763-how-would-you-design-a-pid-controller-to-stabilize-a-4th-order-system
http://www.naturalspublishing.com/files/published/yeuv9w62117j6l.pdf
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Sevkuthan Kurak
2nd order approximation or system approximation using the concept of dominant poles can be checked.
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