Interaction analysis for decentralized control based on dissipativity

A new interaction analysis for decentralized control is presented in this paper. The proposed method uses (Q, S, R)-dissipativity and passivity to identify the effect of loop interactions on the dynamic control performance achievable by multiloop controllers (in terms of open-loop bandwidth of the plant and multiloop controller). The frequency-dependent upper bounds of the controller gain are also formulated to provide more insights into the impacts of interactions on decentralized control. A case study on the interaction analysis of distillation column is used to illustrate the effectiveness of the proposed approach. Copyright © 2008 Curtin University of Technology and John Wiley & Sons, Ltd.

[1]  E. Bristol On a new measure of interaction for multivariable process control , 1966 .

[2]  Kwo-Liang Wu,et al.  Reactor/separator processes with recycle—1. Candidate control structure for operability , 1996 .

[3]  Manfred Morari,et al.  Interaction measures for systems under decentralized control , 1986, Autom..

[4]  P. Moylan,et al.  Dissipative Dynamical Systems: Basic Input-Output and State Properties , 1980 .

[5]  Sirish L. Shah,et al.  Interaction analysis in multivariable control systems , 1986 .

[6]  Michael Green,et al.  A new approach to decentralised control design , 1995 .

[7]  Sigurd Skogestad,et al.  Dynamic behaviour of integrated plants , 1996 .

[8]  Manfred Morari,et al.  Robust Performance of Decentralized Control Systems by Independent Designs , 1987, 1987 American Control Conference.

[9]  Thomas F. Edgar,et al.  Analysis of control‐output interactions in dynamic systems , 1981 .

[10]  Jie Bao,et al.  Passivity-based decentralized failure-tolerant control , 2002 .

[11]  Jie Bao,et al.  An experimental pairing method for multi-loop control based on passivity , 2007 .

[12]  A. Rantzer,et al.  System analysis via integral quadratic constraints , 1997, IEEE Trans. Autom. Control..

[13]  P. Moylan,et al.  The stability of nonlinear dissipative systems , 1976 .

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

[15]  J. Willems Dissipative dynamical systems Part II: Linear systems with quadratic supply rates , 1972 .

[16]  P. Moylan,et al.  Stability criteria for large-scale systems , 1978 .

[17]  J. Willems Dissipative dynamical systems part I: General theory , 1972 .

[18]  Brian D. O. Anderson,et al.  A "mixed" small gain and passivity theorem in the frequency domain , 2007, Syst. Control. Lett..

[19]  Peter L. Lee,et al.  A methodology for multi-unit control design , 1994 .

[20]  Bengt Carlsson,et al.  Interaction analysis and control structure selection in a wastewater treatment plant model , 2005, IEEE Transactions on Control Systems Technology.

[21]  Johan Löfberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[22]  G. Leitmann Guaranteed Asymptotic Stability for Some Linear Systems With Bounded Uncertainties , 1979 .

[23]  P. Daoutidis,et al.  Nonlinear Dynamics and Control of Process Systems with Recycle , 2000 .

[24]  Vasilios Manousiouthakis,et al.  Synthesis of decentralized process control structures using the concept of block relative gain , 1986 .