Robust Feedback Control for Nonminimum Phase, Delayed, or Unstable Systems with Multiple Inputs

This paper presents a feedback control solution that achieves robust stability and disturbance rejection in systems with multiple manipulated inputs and a single measurable output. The uncertain plant models may exhibit either nonminimum phase, or delay, or unstable phenomena, which makes it not easy to take full advantage of the frequency response of each plant. In the framework of quantitative feedback theory (QFT), a methodology is proposed to decide the best control bandwidth distribution among inputs and to design the set of parallel controllers with as small as possible gain at each frequency. The temperature regulation in a continuous stirred-tank reactor (CSTR) illustrates the benefits of a quantitative frequency distribution of the dynamic controllability between the jacket flow and the feed flow. The main challenge is that the feed flow exhibits a higher temperature regulation capacity and also produces a temporary decrease in the reactor temperature (nonminimum phase behaviour).

[1]  Alf Isaksson,et al.  Design and performance of mid-ranging controllers , 1998 .

[2]  I. Horowitz.  Survey of quantitative feedback theory (QFT) , 2001 .

[3]  Ulrich Schneider,et al.  Integrated approach to robotic machining with macro/micro-actuation , 2014 .

[4]  William C. Messner,et al.  On compensator design for linear time-invariant dual-input single-output systems , 2001 .

[5]  Luca Zaccarian,et al.  Linear output regulation with dynamic optimization for uncertain linear over-actuated systems , 2018, Autom..

[6]  Xin Zhang,et al.  RCS and Aero Surfaces Control Allocation Research on RLV’s Re-Entry Phase , 2019, Applied Sciences.

[7]  Andrey V. Savkin,et al.  Novel Quasi-Decentralized SMC-Based Frequency and Voltage Stability Enhancement Strategies Using Valve Position Control and FACTS Device , 2017, IEEE Access.

[8]  Tore Hägglund,et al.  A mid-ranging control strategy for non-stationary processes and its application to dissolved oxygen control in a bioprocess , 2015 .

[9]  Luca Zaccarian,et al.  Dynamic allocation for input redundant control systems , 2009, Autom..

[10]  Guy A. Dumont,et al.  Robust MISO Control of Propofol-Remifentanil Anesthesia Guided by the NeuroSENSE Monitor , 2018, IEEE Transactions on Control Systems Technology.

[11]  Guillermo Fernández-Anaya,et al.  A note on the stability of habituating process control , 2004 .

[12]  Montserrat Gil-Martínez,et al.  Quantitative Feedback Control of Multiple Input Single Output Systems , 2014 .

[13]  Sigurd Skogestad,et al.  Dual SIMC-PI Controller Design for Cascade Implement of Input Resetting Control with Application , 2018 .

[14]  Shiro Ogawa,et al.  Design and tuning of valve position controllers with industrial applications , 2003 .

[15]  Tor Arne Johansen,et al.  Control allocation - A survey , 2013, Autom..

[16]  Eduard Eitelberg,et al.  Some peculiarities of load sharing control , 2003 .

[17]  Babatunde A. Ogunnaike,et al.  Habituating control strategies for process control , 1995 .

[18]  Fred Y. Hadaegh,et al.  Load-sharing robust control of spacecraft formations: deep space and low Earth elliptic orbits , 2007 .

[19]  David Zumoffen,et al.  Plantwide Control Design Based on the Control Allocation Approach , 2018 .

[20]  Luca Zaccarian,et al.  Hierarchical Control of the Over-Actuated ROSPO Platform via Static Input Allocation , 2017 .

[21]  Geok Soon Hong,et al.  Design and control of an end-effector for industrial finishing applications , 2018, Robotics and Computer-Integrated Manufacturing.

[22]  Magnus K. Karlsson,et al.  Reducing moisture transients in the paper-machine drying section with the mid-ranging control technique , 2005 .

[23]  Montserrat Gil-Martínez,et al.  Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output Systems , 2018, Mathematical Problems in Engineering.

[24]  Erik Hellström,et al.  Controlled Load and Speed Transitions in a Multicylinder Recompression HCCI Engine , 2015, IEEE Transactions on Control Systems Technology.

[25]  Wen-Hua Chen,et al.  QFT design for uncertain non-minimum phase and unstable plants revisited , 2001 .

[26]  William P. Heath,et al.  An Internal Model Control Approach to Mid-Ranging Control , 2009 .

[27]  Marcel Sidi.  Gain-bandwidth limitations of feedback systems with non-minimum-phase plants , 1997 .

[28]  Pantelis Georgiou,et al.  Coordinated dual-hormone artificial pancreas with parallel control structure , 2019, Comput. Chem. Eng..

[29]  J. A. Morales,et al.  Metodología de Ajuste de un NMPC con Sistema de Inferencia Borrosa Takagi Sugeno y Conjuntos Borrosos Multidimensionales para Aplicaciones en Procesos Químicos no Lineales , 2018 .

[30]  Marcel Sidi,et al.  Feedback synthesis with plant ignorance, nonminimum-phase, and time-domain tolerances , 1976, Autom..