A design method of modified PID controllers for multiple-input/multiple-output plants

Abstract In this paper, we examine a design method of modified PID (Proportional-Integral-Derivative) controllers for multiple-input/multiple-output plants. PID controller structure is the most widely used one in industrial applications. Recently the parametrization of all stabilizing PID controller has been considered. Yamada and Hagiwara proposed a design method of modified PID controllers such that modified PID controllers make the closed-loop system for single-input/single-output unstable plants stable and the admissible sets of P-parameter, I-parameter and D-parameter are independent from each other. However, no method has been published to guarantee the stability of PID control system for multiple-input/multiple-output plants and the admissible sets of P-parameter, I-parameter and D-parameter to guarantee the stability of PID control system are independent from each other. In this paper, we propose a design method of modified PID controllers such that the modified PID controller make the closed-loop system for multiple-input/multiple-output plants stable and the admissible sets of P-parameter, I-parameter and D-parameter are independent from each other.

[1]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[2]  Shankar P. Bhattacharyya,et al.  A linear programming characterization of all stabilizing PID controllers , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[3]  Toshiyuki Kitamori.  A Design Method for PID Type Decoupled Control Systems Based upon Partial Knowledge about Controlled Processes , 1980 .

[4]  Shankar P. Bhattacharyya,et al.  Structure and synthesis of PID controllers , 2000 .

[5]  John A. Miller,et al.  TUNING CONTROLLERS WITH ERROR-INTEGRAL CRITERIA , 1967 .

[6]  Evanghelos Zafiriou,et al.  Robust process control , 1987 .

[7]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[8]  K. L. Chien,et al.  On the Automatic Control of Generalized Passive Systems , 1952, Journal of Fluids Engineering.

[9]  Tong Heng Lee,et al.  On the design of multivariable PID controllers via LMI approach , 2002, Autom..

[10]  Toshiyuki Kitamori,et al.  A Method of Control System Design Based upon Partial Knowledge about Controlled Processes , 1979 .

[11]  C. Knospe,et al.  PID control , 2006, IEEE Control Systems.

[12]  Jiann-Shiou Yang.  Parameter plane control design for a two-tank chemical reactor system , 1994 .

[13]  Takaaki Hagiwara,et al.  A Design Method of Modified PID Conteroller for Unstable Plants , 2006 .

[14]  Tong Heng Lee,et al.  An improvement on multivariable PID controller design via iterative LMI approach , 2004, Autom..

[15]  Kenichi Tamura,et al.  ＰＩＤ制御による多変数系の固有値配置法;ＰＩＤ制御による多変数系の固有値配置法;Eigenvalue Assignment Method by PID Control for MIMO System , 2006 .

[16]  N. Munro,et al.  PID controllers: recent tuning methods and design to specification , 2002 .

[17]  Dorel Aiordachioaie,et al.  Aspects of Pole Placement Technique in Symmetrical Optimum Method for Pid Controller Design , 2005 .