compensator with pole in RHS of s-plane

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Basim Touqan 2022-5-26

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评论： Basim Touqan 2022-5-28

Dear colleagues,

I am working on a project where i am trying to decouple the internal interaction of 2x2 industrial plant transfer function matrix aiming to get diagonal dominant matrix (Q(s)= G(s)K(s) where G(s) is the plant transfer function matrix and K(s) is the claculated compensators matrix) . I am getting 4 second and first order compensators each with a pole located in the right hand side of the s-plane. Can I acknowledge such compensators? Will the pole located in the RHS of s-plane be a potential of troubles or difficulties for controlling the resulted decoupled transfer function matrix Q(s)?

Thank you in advance

Basim Touqan

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Sam Chak 2022-5-26

Hi @Basim Touqan

I usually won't design compensators with unstable poles because their role is to stabilize the system. But if your compensators merely serve as "decouplers" and then the entire decoupled system Q(s) = G(s)*K(s) to be stabilized using PID controllers, then it's a different story.

Basim Touqan 2022-5-26

Thank you sir for your valuable contribution, the issuue remains whether you have a valid reference like a book or a paper or any other valid document that confirmes this conclusion so I can enhance it with such reference as a valid verification. At the end the work needs to be published in a scopus ranked journal where every conclusion must be referenced.

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Answer 1

Sam Chak 2022-5-28

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Basim, you should run a few more simulations under different conditions to verify if the approach works. After that, you should rigorously prove that your designed systems are stable, according to some stability theories.

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