Stacking Integrators Without Sacrificing the Overshoot in Reset Control Systems

According to the well-known loop-shaping control design approach, the steady-state precision of control systems can be improved by stacking integrators. However, due to the waterbed effect in linear control systems, such an action will worsen the transient response by increasing overshoot and creating wind-up problems. This paper presents a new architecture for rest control systems that can significantly decrease the overshoot and create a no-overshoot performance even in presence of stacked integrators. The steady-state analysis of the proposed system will also show that improved precision expected due to stacked integrators can be achieved as well. A numerical simulation study is presented to verify the results and the tuning guide presented.

[1]  Niranjan Saikumar,et al.  Reset control approximates complex order transfer functions , 2019, Nonlinear Dynamics.

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

[3]  S. Hassan HosseinNia,et al.  Loop-shaping for reset control systems - A higher-order sinusoidal-input describing functions approach , 2020, Control Engineering Practice.

[4]  Youyi Wang,et al.  Frequency-Domain Properties of Reset Systems With Application in Hard-Disk-Drive Systems , 2009, IEEE Transactions on Control Systems Technology.

[5]  Niranjan Saikumar,et al.  Fractional-order single state reset element , 2020, Nonlinear Dynamics.

[6]  Antonio Barreiro,et al.  Reset Control Systems , 2011 .

[7]  Ying Tan,et al.  Overcoming overshoot performance limitations of linear systems with reset control , 2019, Autom..

[8]  H. W. Bode,et al.  Network analysis and feedback amplifier design , 1945 .

[9]  Marcel François Heertjes,et al.  Hybrid Integrator-Gain Systems: A Remedy for Overshoot Limitations in Linear Control? , 2020, IEEE Control Systems Letters.

[10]  Youyi Wang,et al.  Analysis and Design of Reset Control Systems , 2015 .

[11]  Christopher V. Hollot,et al.  Analysis of reset control systems consisting of a FORE and second-order loop , 2001 .

[12]  W. Hager,et al.  and s , 2019, Shallow Water Hydraulics.

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

[14]  Ali Ahmadi Dastjerdi,et al.  A Frequency-Domain Tuning Method for a Class of Reset Control Systems , 2021, IEEE Access.

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

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

[17]  Alessandro Astolfi,et al.  A Frequency-Domain Stability Method for Reset Systems , 2020, 2020 59th IEEE Conference on Decision and Control (CDC).

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

[19]  Niranjan Saikumar,et al.  “Constant in Gain Lead in Phase” Element– Application in Precision Motion Control , 2018, IEEE/ASME Transactions on Mechatronics.

[20]  Luca Zaccarian,et al.  To stick or to slip: A reset PID control perspective on positioning systems with friction , 2020, Annu. Rev. Control..

[21]  Benefiting from Linear Behaviour of a Nonlinear Reset-Based Element at Certain Frequencies , 2020, 2020 Australian and New Zealand Control Conference (ANZCC).

[22]  Leroy Hazeleger,et al.  Second-order reset elements for stage control design , 2016, 2016 American Control Conference (ACC).

[23]  Niranjan Saikumar,et al.  The optimal sequence for reset controllers , 2020, 2020 European Control Conference (ECC).

[24]  S. Hassan HosseinNia,et al.  Development of Robust Fractional-Order Reset Control , 2018, IEEE Transactions on Control Systems Technology.

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

[26]  P. Alam.  ‘N’ , 2021, Composites Engineering: An A–Z Guide.

[27]  M Maarten Steinbuch,et al.  Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses , 2006 .

[28]  J. C. Clegg.  A nonlinear integrator for servomechanisms , 1958, Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry.

[29]  Niranjan Saikumar,et al.  Closed-loop frequency analyses of reset systems , 2020, ArXiv.