PI and PID stabilization of neutral and retarded systems with time delay

Serdar Ethem HAMAMCI

Makale detayları

PI and PID stabilization of neutral and retarded systems with time delay

Yazarlar:

Serdar Ethem HAMAMCI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Electrical Engineering and Computer Science 2012 Vol.20 Issue Sup.1, pp.1189-1205

Belge Tipi:

Makale

Yayın Tarihi:

11/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000743674

Sıklık:

İki Aylık

eISSN:

1303-6203

pISSN:

1300-0632

Özet:

 

Stabilization using fixed-order controllers is one of the  key topics in control system design for the linear time-invariant  (LTI) systems.  In this paper, the stabilization of LTI neutral and  retarded time-delay systems by means of PI and PID controllers is  investigated in detail.  The basic theme of the presented approach is  to obtain a global stability region in the 2-dimensional (2-D) (kp,  ki)-plane for the PI controller and in the 3-dimensional (3-D)  (kp, ki, kd)-space for the PID controllers.  This region is  formed by stability boundaries that are defined as the real root  boundary, infinite root boundary, and complex root boundary.  The 3-D  global stability region for the PID case is made up of the set of 2-D  stability regions that are obtained in the (kp, ki)-plane,  (kp, kd)-plane, or (ki, kd)-plane by changing the other  third parameter.  To achieve this, the stability boundary locus  approach is incorporated into the D-decomposition method.  Thus, the  complete set of stabilizing PI and PID controllers for the system is  obtained.  The simulation results indicate that the presented  stabilization method is effective and practically useful in the  analysis and control of the neutral and retarded time-delay systems.

 

Stabilization using fixed-order controllers is one of the  key topics in control system design for the linear time-invariant  (LTI) systems.  In this paper, the stabilization of LTI neutral and  retarded time-delay systems by means of PI and PID controllers is  investigated in detail.  The basic theme of the presented approach is  to obtain a global stability region in the 2-dimensional (2-D) (kp,  ki)-plane for the PI controller and in the 3-dimensional (3-D)  (kp, ki, kd)-space for the PID controllers.  This region is  formed by stability boundaries that are defined as the real root  boundary, infinite root boundary, and complex root boundary.  The 3-D  global stability region for the PID case is made up of the set of 2-D  stability regions that are obtained in the (kp, ki)-plane,  (kp, kd)-plane, or (ki, kd)-plane by changing the other  third parameter.  To achieve this, the stability boundary locus  approach is incorporated into the D-decomposition method.  Thus, the  complete set of stabilizing PI and PID controllers for the system is  obtained.  The simulation results indicate that the presented  stabilization method is effective and practically useful in the  analysis and control of the neutral and retarded time-delay systems.

Makale detayları

PI and PID stabilization of neutral and retarded systems with time delay

Yazarlar: Serdar Ethem HAMAMCI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Electrical Engineering and Computer Science 2012 Vol.20 Issue Sup.1, pp.1189-1205

Belge Tipi: Makale

Yayın Tarihi: 11/2011

Belge Dili: Türkçe

Document ID (Org No.): 2000743674

Sıklık: İki Aylık

eISSN: 1303-6203

pISSN: 1300-0632

Sayı

Yazarlar:

Serdar Ethem HAMAMCI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Electrical Engineering and Computer Science 2012 Vol.20 Issue Sup.1, pp.1189-1205

Belge Tipi:

Makale

Yayın Tarihi:

11/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000743674

Sıklık:

İki Aylık

eISSN:

1303-6203

pISSN:

1300-0632