Adjoint Transfer Matrix Based Decoupling Control for Multivariable Processes

In this paper, a novel decoupling control scheme based on adjoint matrix is proposed. By introducing the concept of characteristic sequence, the characteristic sequence of both the adjoint transfer matrix and the determinant transfer function are derived from that of original process transfer matrix. The adjoint transfer matrix and determinant transfer function are then determined. Finally, the adjoint matrix is selected as a decoupler, and the decentralized controller is designed for the determinant transfer function. The effectiveness of the proposed design approach is verified by three multivariable industrial processes, which shows that it results in better overall performance compared with other methods.

[1]  Qing‐Guo Wang,et al.  Non-interacting control design for multivariable industrial processes , 2003 .

[2]  Furong Gao,et al.  Analytical decoupling control strategy using a unity feedback control structure for MIMO processes with time delays , 2007 .

[3]  W. Cai,et al.  Normalized Decoupling —A New Approach for MIMO Process Control System Design , 2008 .

[4]  Min-Sen Chiu,et al.  Decoupling internal model control for multivariable systems with multiple time delays , 2002 .

[5]  Thomas F. Edgar,et al.  Static decouplers for control of multivariable processes , 2005 .

[6]  R. K. Wood,et al.  Terminal composition control of a binary distillation column , 1973 .

[7]  Guanrong Chen,et al.  Fuzzy PID controller: Design, performance evaluation, and stability analysis , 2000, Inf. Sci..

[8]  Qing-Guo Wang,et al.  Decoupling with internal stability for unity output feedback systems , 1992, Autom..

[9]  D. Seborg,et al.  Design of decentralized PI control systems based on Nyquist stability analysis , 2003 .

[10]  Wenjian Cai,et al.  Normalized decoupling control for high-dimensional MIMO processes for application in room temperature control HVAC systems , 2010 .

[11]  Sigurd Skogestad,et al.  Simple analytic rules for model reduction and PID controller tuning , 2003 .

[12]  D Pomerleau,et al.  Guide lines for the tuning and the evaluation of decentralized and decoupling controllers for processes with recirculation. , 2001, ISA transactions.

[13]  Qing-Guo Wang,et al.  Auto-tuning of multivariable PID controllers from decentralized relay feedback , 1997, Autom..

[14]  Sunwon Park,et al.  PID controller tuning for desired closed‐loop responses for SI/SO systems , 1998 .

[15]  Qing-Guo Wang,et al.  Block decoupling with stability by unity output feedback - Solution and performance limitations, , 1993, Autom..