Design of Reset Control Systems: The PI + CI Compensator

Reset compensation has been used to overcome limitations of LTI compensation. In this work, a new reset compensator, referred to as PI+CI, is introduced. It basically consists of adding a Clegg integrator to a PI compensator, with the goal of improving the closed loop response by using the nonlinear characteristic of this element. It turns out that by resetting a percentage of the integral term in a PI compensator, a significant improvement can be obtained over a well-tuned PI compensator in some relevant practical cases, such as systems with dominant lag and integrating systems. The work is devoted to the development of PI+CI tuning rules for basic dynamic systems in a wide range of applications, including first and higher order plus dead time systems.

[1]  Tore Hägglund,et al.  The future of PID control , 2000 .

[2]  M. Morari,et al.  Internal model control: PID controller design , 1986 .

[3]  A. Vidal,et al.  Definition and tuning of a PI+CI reset controller , 2007, 2007 European Control Conference (ECC).

[4]  I. Horowitz,et al.  Non-linear design for cost of feedback reduction in systems with large parameter uncertainty † , 1975 .

[5]  Alfonso Baños,et al.  Stability of reset control systems with variable reset: Application to PI+CI compensation , 2009, 2009 European Control Conference (ECC).

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

[7]  Alfonso Baños,et al.  Delay-Independent Stability of Reset Systems , 2009, IEEE Transactions on Automatic Control.

[8]  Youyi Wang,et al.  Reset Integral-Derivative Control for HDD Servo Systems , 2007, IEEE Transactions on Control Systems Technology.

[9]  João Pedro Hespanha,et al.  Lyapunov conditions for input-to-state stability of impulsive systems , 2008, Autom..

[10]  Isaac Horowitz,et al.  Synthesis of a non-linear feedback system with significant plant-ignorance for prescribed system tolerances† , 1974 .

[11]  A. Banos,et al.  Delay-Independent Stability of Reset Control Systems , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[12]  Orhan Beker,et al.  Submitted to IEEE Transactions on Automatic Control Plant with Integrator: An Example of Reset Control Overcoming Limitations of Linear Feedback , 2001 .

[13]  João Pedro Hespanha,et al.  Switching between stabilizing controllers , 2002, Autom..

[14]  M Maarten Steinbuch,et al.  Performance analysis of reset control systems , 2010 .

[15]  L. Zaccarian,et al.  On necessary and sufficient conditions for exponential and L2 stability of planar reset systems , 2008, 2008 American Control Conference.

[16]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[17]  Luca Zaccarian,et al.  Stability properties of reset systems , 2008, Autom..

[18]  Orhan Beker,et al.  Fundamental properties of reset control systems , 2004, Autom..

[19]  L. Berezansky,et al.  Exponential Stability of Linear Delay Impulsive Differential Equations , 1993 .

[20]  M Maarten Steinbuch,et al.  Experimental demonstration of reset control design , 2000 .

[21]  Orhan Beker Analysis of reset control systems , 2001 .

[22]  Alfonso Baños,et al.  Reset times-dependent stability of reset control systems , 2007, 2007 European Control Conference (ECC).

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

[24]  A. Vidal,et al.  Design of PI+CI Reset Compensators for second order plants , 2007, 2007 IEEE International Symposium on Industrial Electronics.

[25]  Asgeir J. Sørensen,et al.  Improved Transient Performance by Lyapunov-based Integrator Reset of PI Thruster Control in Extreme Seas , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[26]  Xinzhi Liu,et al.  Stability Criteria for Impulsive Systems With Time Delay and Unstable System Matrices , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[27]  Alfonso Baños,et al.  Delay-dependent stability of reset systems , 2010, Autom..

[28]  D. Baĭnov,et al.  Systems with impulse effect : stability, theory, and applications , 1989 .

[29]  V. Lakshmikantham,et al.  Theory of Impulsive Differential Equations , 1989, Series in Modern Applied Mathematics.

[30]  Wassim M. Haddad,et al.  Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control , 2006 .

[31]  Alessandro Astolfi,et al.  Stability of Dynamical Systems - Continuous, Discontinuous, and Discrete Systems (by Michel, A.N. et al.; 2008) [Bookshelf] , 2007, IEEE Control Systems.

[32]  Lihua Xie,et al.  Development of an extended reset controller and its experimental demonstration , 2008 .