LQR and H_2 Controllers Design Using State Derivative Feedback for Multivariable Systems

Authors

  • Hazem I. Ali Department of control and system engineering, University of Technology, Baghdad-10001, Iraq
  • Mohammed Z. M. Ali Department of control and system engineering, University of Technology, Baghdad-10001, Iraq

Keywords:

, LQR control, H_2 control, state derivative feedback, multivariable systems, active suspension.

Abstract

This paper presents the design of LQR (linear quadratic regular) and  controller using state derivative feedback. This design is solvable for all controllable systems.  The state derivative feedback is used instead of state feedback in many mechanical systems because the main sensors of vibration are accelerometers. A multivariable active suspension system is used in this paper to show the effectiveness of the proposed controllers. The obtained results are compared to the same approaches when a state feedback is used. It is shown that the design using state derivative feedback can achieve a better performance.

References

T. H. S. Abdelaziz and M. Valask, “State Derivative Feedback By LQR For Linear Time-Invariant System”, Proceedings of the ?16?^th IFAC World Congress, Czech Republic, 2005, pp. 933-938.
M. Pourebrahim and A. S. Ghafari, “Designing a LQR Controller for an Electro-Hydraulic-Actuated-Clutch Model”, International conference on Control Science and Systems Engineering, 2016.
H. I. Ali, “Mixed LQR/H-Infinity Controller Design For Uncertain Multivariable Systems”, Emirates Journal for Engineering Research, 2015, Vol. 20, No. 1, PP. 79-85.
Rodrigues C. R. and Kuiava R. and Ramos R.A., “Design of a linear quadratic regulator for nonlinear systems modeled via norm bounded linear differential inclusions”, Proceedings of the 18th World Congress, Milano(Italy), 2011.
T. H. S. Abdelaziz and M.Valask, “Direct Algorithm For Pole Placement By State-Derivative Feedback For Multi-Input Linear Systems - Nonsingular Case”, Kybernetika, 2005, Vol. 41, No. 5, pp. 637-660.
T. H. S. Abdelaziz and M.Valask, “Pole-placement for SISO linear systems by state-derivative feedback”, Acta Polytechnica, 2003, Vol. 43, No. 6, pp. 52-60.
R. Cardim, M. C. M. Teixeira, E. Assuncao and F. A. Faria, “Control Designs for Linear Systems Using State-Derivative Feedback”, Systems Structure and Control, Pert Husek, 2008.
J. Kataria, M. K. Madhav and A. Kumar, “State Derivative Feedback Control Application for Pole Placement Problem”, International Journal of Emerging Technology, 2014, Vol. 4, No. 4, pp. 79-85.
G. S. Wang, B. Liang and G. R. Duan, “H2-Optimal Control with Regional Pole Assignment via State Feedback, International Journal of Control”, Automation, and Systems, 2006, Vol. 4, No. 5, pp. 653-659.
E. Reithmeier and G. Leitmann, “Robust Vibration Control of Dynamical Systems based on Derivative of the State”, Archive Appl. Mechanics,, 2003, Vol. 72, PP. 856-864.
A. Sinha, “Linear Systems Optimal and Robust Control”, Taylor and Francis Group, LLC, 2007.

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Published

2017-10-25

How to Cite

I. Ali, H., & Z. M. Ali, M. (2017). LQR and H_2 Controllers Design Using State Derivative Feedback for Multivariable Systems. American Scientific Research Journal for Engineering, Technology, and Sciences, 37(1), 118–128. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/3454

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Articles