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

Tongchit Suthisripok; Chanwit Wongrattanapornkul; Somchai Poonyaniran; Adirak Kanchanaharuthai

Authors

Tongchit Suthisripok Department of Automotive Engineering, College of Engineering, Rangsit University, Patumthani 12000, Thailand
Chanwit Wongrattanapornkul Department of Automotive Engineering, College of Engineering, Rangsit University, Patumthani 12000, Thailand
Somchai Poonyaniran Department of Electrical Engineering, College of Engineering, Rangsit University, Patumthani 12000, Thailand
Adirak Kanchanaharuthai Department of Electrical Engineering, College of Engineering, Rangsit University, Patumthani 12000, Thailand

Keywords:

Output feedback H∞ control, circular pole constraints, vehicle suspension systems, linear matrix inequality

Abstract

This investigative paper is aimed to design a dynamic output feedback H_∞controller 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 H_∞controller.

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