Reset band for mitigatation of quantization induced performance degradation

Reset control has emerged as a viable alternative to popular PID, capable of outperforming and overcoming the linear limitations. However, in motion control systems, quantization can cause severe performance degradation. This paper investigates this degradation in practical systems and re-purposes the reset band condition in order to mitigate the same. Numerical simulations have been conducted on a mass based positioning system to analyze the cause of the quantization induced performance degradation. Moreover, a performance and robustness analysis was performed with the proposed solution. Finally, novel tuning guidelines are provided for estimating the required reset band parameter. Additionally, practical experiments have been conducted on a high precision motion system for validation. The experiments show by example that the reset band can reduce the error in the problematic region by up to 285% and hence shows the need and effectiveness of the proposed solution.

[1]  S. Hassan HosseinNia,et al.  Fractional-order reset control: Application to a servomotor , 2013 .

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

[3]  M. Fu Quantization for feedback control and estimation , 2008, 2008 27th Chinese Control Conference.

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

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

[6]  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 .

[7]  Niranjan Saikumar,et al.  No More Differentiator in PID: Development of Nonlinear Lead for Precision Mechatronics , 2018, 2018 European Control Conference (ECC).

[8]  Ju H. Park,et al.  Quantized Static Output Feedback Control For Discrete-Time Systems , 2018, IEEE Transactions on Industrial Informatics.

[9]  Niranjan Saikumar,et al.  Reset Control for Vibration Disturbance Rejection , 2019, IFAC-PapersOnLine.

[10]  Antonio Barreiro,et al.  Reset Control Systems with Reset Band: Well-posedness and Limit Cycles Analysis , 2011, 2011 19th Mediterranean Conference on Control & Automation (MED).

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

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

[13]  Alfonso Baños,et al.  Stability Analysis of reset control systems with reset band , 2009, ADHS.

[14]  Alfonso Baños,et al.  Reset compensation for temperature control: experimental application on heat exchangers , 2010 .

[15]  Minyue Fu,et al.  A Reset State Estimator Using an Accelerometer for Enhanced Motion Control With Sensor Quantization , 2010, IEEE Transactions on Control Systems Technology.

[16]  Youyi Wang,et al.  Discrete-Time Optimal Reset Control for Hard Disk Drive Servo Systems , 2009, IEEE Transactions on Magnetics.

[17]  D.A. Rauth,et al.  Analog-to-digital conversion. part 5 , 2005, IEEE Instrumentation & Measurement Magazine.

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

[19]  Edmund Lai 2 – Converting analog to digital signals and vice versa , 2003 .

[20]  Isabelle Queinnec,et al.  Analysis and Synthesis of Reset Control Systems , 2018, Found. Trends Syst. Control..

[21]  Luca Zaccarian,et al.  Position Regulation of an EGR Valve Using Reset Control With Adaptive Feedforward , 2014, IEEE Transactions on Control Systems Technology.

[22]  Francesco Ferrante On quantization and sporadic measurements in control systems: stability, stabilization, and observer design , 2015 .

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

[24]  Hiroshi Fujimoto,et al.  Overcoming Current Quantization Effects for Precise Current Control using Dithering Techniques , 2013 .

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

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

[27]  M Maarten Steinbuch,et al.  Trajectory planning and feedforward design for electromechanical motion systems , 2005 .

[28]  Simone Baldi,et al.  Beyond the Waterbed Effect: Development of Fractional Order CRONE Control with Non-Linear Reset , 2018, 2018 Annual American Control Conference (ACC).

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

[30]  Youyi Wang,et al.  Optimal Reset Control for a Dual-Stage Actuator System in HDDs , 2011, IEEE/ASME Transactions on Mechatronics.

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