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Journal of Current Science and Technology

ISSN 2630-0656 (Online)

An LMI approach to output feedback H control design with circular pole constraints for vehicle suspension systems

  • Tongchit Suthisripok, Department of Automotive Engineering, College of Engineering, Rangsit University, Patum Thani, Thailand, Corresponding author; E-mail:
  • Chanwit Wongrattanapornkul, Department of Automotive Engineering, College of Engineering, Rangsit University, Patum Thani, Thailand
  • Somchai Poonyaniran, Department of Electrical Engineering, College of Engineering, Rangsit University, Patum Thani, Thailand
  • Adirak Kanchanaharuthai, Department of Electrical Engineering, College of Engineering, Rangsit University, Patum Thani, Thailand


          This investigative paper is aimed to design a dynamic output feedback Hcontroller with circular pole constraints for vehicle suspension systems.  The closed-loop system satisfies both the H norm on the closed-loop transfer function from the disturbance input to the system output and D-stability constraint on the close-loop system matrix.  A condition for finding the desired controller is illustrated via a linear matrix inequality (LMI).  Additionally, it is shown that this existing condition is equivalent to the feasibility of a certain matrix inequality which is jointly convex in all variables. The proposed controller performance is carried out through simulation. Also, it is compared with passive system and the dynamic output feedback Hcontroller.

Keywords: Output feedback H? control; circular pole constraints; vehicle suspension systems; linear matrix inequality

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DOI: 10.14456/rjas.2016.3


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