RESILIENT PI AND PD CONTROLLER DESIGNS FOR A CLASS OF UNSTABLE PLANTS WITH I/O DELAYS*

In [8] we obtained stabilizing PID controllers for a class of MIMO unstable plants with time delays in the input and output channels (I/O delays). Using this approach, for plants with one unstable pole, we investigate resilient PI and PD controllers. Specifically, for PD controllers, optimal derivative action gain is determined to maximize the allowable controller gain interval. For PI controllers, optimal proportional gain is determined to maximize a lower bound of the largest allowable integral action gain.

[1]  Richard Marquez,et al.  An extension of predictive control, PID regulators and Smith predictors to some linear delay systems , 2002 .

[2]  Hitay Özbay,et al.  On the strong stabilization and stable Hinfinity-controller design problems for MIMO systems , 2000, Autom..

[3]  S. Niculescu.  Delay Effects on Stability: A Robust Control Approach , 2001 .

[4]  Sunwon Park,et al.  PID controller tuning for integrating and unstable processes with time delay , 2000 .

[5]  Masami Saeki,et al.  FIXED STRUCTURE PID CONTROLLER DESIGN FOR STANDARD H∞ CONTROL PROBLEM , 2005 .

[6]  Shankar P. Bhattacharyya,et al.  PID Controllers for Time Delay Systems , 2004 .

[7]  Hitay Özbay,et al.  RESILIENT PI AND PD CONTROLLERS FOR A CLASS OF UNSTABLE MIMO PLANTS WITH I/O DELAYS , 2006 .

[8]  Hitay Özbay,et al.  PID CONTROLLER SYNTHESIS FOR A CLASS OF UNSTABLE MIMO PLANTS WITH I/O DELAYS , 2006 .

[9]  Allen Tannenbaum,et al.  Abstract model and controller design for an unstable aircraft , 1992 .

[10]  Éric Poulin,et al.  PI settings for integrating processes based on ultimate cycle information , 1999, IEEE Trans. Control. Syst. Technol..

[11]  G. Stein,et al.  Respect the unstable , 2003 .

[12]  Malcolm C. Smith,et al.  On the order of stable compensators , 1986, Autom..

[13]  Suat Gumussoy,et al.  Remarks on strong stabilization and stable H∞ controller design , 2005 .

[14]  S. Skogestad.  Simple analytic rules for model reduction and PID controller tuning , 2004 .

[15]  Bernard Friedland,et al.  Control System Design: An Introduction to State-Space Methods , 1987 .

[16]  Bengt Lennartson,et al.  Robust and optimal tuning of PI and PID controllers , 2002 .

[17]  Mark L. Nagurka,et al.  Design of PID controllers satisfying gain margin and sensitivity constraints on a set of plants , 2004, Autom..

[18]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[19]  Naim A. Kheir,et al.  Control system design , 2001, Autom..