Technical Papers
Nov 29, 2017

Design and Performance Evaluation of an Optimal Discrete-Time Feedforward Controller for Servo-Hydraulic Compensation

Publication: Journal of Engineering Mechanics
Volume 144, Issue 2

Abstract

Servo-hydraulic actuators exhibit frequency-dependent variations of amplitude and delay during real-time hybrid simulation (RTHS). Effective compensation techniques to overcome these variations is a crucial component for the successful implementation of RTHS. Most of the existing compensation techniques have demonstrated effective performance under excitations with relatively low frequency bandwidth. To further advance the servo-hydraulic compensation for broader frequency bandwidth, this paper presents the design and performance evaluation of an optimal discrete-time model-based feedforward controller under inputs with broader frequency bandwidth as high as 0–30 Hz. As a compensation technique has not been fully explored in RTHS, the model-based design of discrete-time domain compensation techniques introduces the new technical challenge of inverting nonminimum phase systems. This paper identifies this new challenge by providing detailed supporting derivation, and explains the use of a digital filtering technique—a finite impulse response (FIR) filter—to address this new challenge, and the development process of the proposed FIR compensator using different optimization schemes. Furthermore, this paper demonstrates the compensation performance of the proposed FIR compensator, both numerically and experimentally, under reference inputs with various bandwidths, including bandlimited white noises with frequency bandwidth as high as 0–30 Hz. For comparison purposes, several existing feedforward compensation techniques are also implemented and compared with the proposed FIR compensator. Based on this study, it is found that the proposed FIR compensator technique not only provides excellent compensation performance under various bandwidths, but also offers great flexibility in its formulation by varying the model order with desired compensation performance and computational demands.

Get full access to this article

View all available purchase options and get full access to this article.

References

Ahmadizadeh, M., Mosqueda, G., and Reinhorn, A. M. (2008). “Compensation of actuator delay and dynamics for real-time hybrid structural simulation.” Earthquake Eng. Struct. Dyn., 37(1), 21–42.
Åström, K. J., Hagander, P., and Sternby, J. (1984). “Zeros of sampled systems.” Automatica, 20(1), 31–38.
Åström, K. J., and Wittenmark, B. (2013). Computer-controlled systems: Theory and design, 3rd Ed., Dover Publications, Mineola, NY.
Butterworth, J. A., Pao, L. Y., and Abramovitch, D. Y. (2008). “The effect of nonminimum-phase zero locations on the performance of feedforward model-inverse control techniques in discrete-time systems.” 2008 American Control Conf., IEEE, New York, 2696–2702.
Carrion, J. E., and Spencer, B. F., Jr. (2007). Model-based strategies for real-time hybrid testing, Univ. of Illinois at Urbana-Champaign, Champaign-Urbana, IL, 211.
Carrion, J. E., Spencer, B. F., Jr., and Phillips, B. M. (2009). “Real-time hybrid simulation for structural control performance assessment.” Earthquake Eng. Eng. Vibr., 8(4), 481–492.
Chae, Y., Kazemibidokhti, K., and Ricles, J. M. (2013). “Adaptive time series compensator for delay compensation of servo-hydraulic actuator systems for real-time hybrid simulation.” Earthquake Eng. Struct. Dyn., 42(11), 1697–1715.
Chen, C. (2007). “Development and numerical simulation of hybrid effective force testing method.” Ph.D. dissertation, Lehigh Univ., Bethlehem, PA.
Chen, C., and Ricles, J. M. (2009a). “Analysis of actuator delay compensation methods for real-time testing.” Eng. Struct., 31(11), 2643–2655.
Chen, C., and Ricles, J. M. (2009b). “Improving the inverse compensation method for real-time hybrid simulation through a dual compensation scheme.” Earthquake Eng. Struct. Dyn., 38(10), 1237–1255.
Chen, C., and Ricles, J. M. (2010). “Tracking error-based servohydraulic actuator adaptive compensation for real-time hybrid simulation.” J. Struct. Eng., 432–440.
Chonhenchob, V., Singh, S. P., Singh, J. J., Stallings, J., and Grewal, G. (2012). “Measurement and analysis of vehicle vibration for delivering packages in small-sized and medium-sized trucks and automobiles.” Packag. Technol. Sci., 25(1), 31–38.
Darby, A. P., Blakeborough, A., and Williams, M. S. (1999). “Real-time substructure tests using hydraulic actuator.” J. Eng. Mech., 1133–1139.
Darby, A. P., Blakeborough, A., and Williams, M. S. (2001). “Improved control algorithm for real-time substructure testing.” Earthquake Eng. Struct. Dyn., 30(3), 431–448.
Darby, A. P., Williams, M. S., and Blakeborough, A. (2002). “Stability and delay compensation for real-time substructure testing.” J. Eng. Mech., 1276–1284.
Dyke, S. J., Spencer, B. F., Jr., Quast, P., and Sain, M. K. (1995). “Role of control-structure interaction in protective system design.” J. Eng. Mech., 322–338.
Feigelson, E. D., and Babu, G. J. (2012). Modern statistical methods for astronomy: With R applications, Cambridge University Press, Cambridge, U.K.
Fu, Y., and Dumont, G. A. (1989). “Choice of sampling to ensure minimum-phase behaviour.” IEEE Trans. Autom. Control, 34(5), 560–563.
Gao, X., Castaneda, N., and Dyke, S. J. (2013). “Real time hybrid simulation: From dynamic system, motion control to experimental error.” Earthquake Eng. Struct. Dyn., 42(6), 815–832.
Gao, X., Castaneda, N., and Dyke, S. J. (2014). “Experimental validation of a generalized procedure for MDOF real-time hybrid simulation.” J. Eng. Mech., 04013006.
Gillespie, T. D., and Sayers, M. (1981). “Role of road roughness in vehicle ride.” 60th Annual Meeting of the Transportation Research Board, Transportation Research Board, Washington, DC.
Goodwin, G. C., Graebe, S. F., and Salgado, M. E. (2001). Control system design, Prentice Hall, Upper Saddle River, NJ.
Gross, E., Tomizuka, M., and Messner, W. (1994). “Cancellation of discrete time unstable zeros by Feedforward Control.” J. Dyn. Syst. Meas. Contr., 116(1), 33–38.
Hagiwara, T. (1996). “Analytic study on the intrinsic zeros of sampled-data systems.” IEEE Trans. Autom. Control, 41(2), 261–263.
Horiuchi, T., Inoue, M., Konno, T., and Namita, Y. (1999). “Real-time hybrid experimental system with actuator delay compensation and its application to a piping system with energy absorber.” Earthquake Eng. Struct. Dyn., 28(10), 1121–1141.
Horiuchi, T., Nakagawa, M., Sugano, M., and Konno, T. (1996). “Development of a real-time hybrid experimental system with actuator delay compensation.” 11th World Conf. on Earthquake Engineering, Pergamon, Oxford, U.K.
Jung, R.-Y., and Shing, P. B. (2006). “Performance evaluation of a real-time pseudodynamic test system.” Earthquake Eng. Struct. Dyn., 35(7), 789–810.
Jung, R.-Y., Shing, P. B., Stauffer, E., and Thoen, B. (2007). “Performance of a real-time pseudodynamic test system considering nonlinear structural response.” Earthquake Eng. Struct. Dyn., 36(12), 1785–1809.
Kailath, T., Sayed, A. H., and Hassibi, B. (2000). Linear estimation, Prentice Hall, Upper Saddle River, NJ.
Marlin, T. E. (2000). Process control: Designing processes and control systems for dynamic performance, McGraw-Hill, New York.
MATLAB [Computer software]. MathWorks, Natick, MA.
Nakashima, M., and Masaoka, N. (1999). “Real-time on-line test for MDOF systems.” Earthquake Eng. Struct. Dyn., 28(4), 393–420.
Oppenheim, A. V., and Schafer, R. W. (2010). Discrete-time signal processing, Pearson, London.
Ou, G., Ozdagli, A. I., Dyke, S. J., and Wu, B. (2015). “Robust integrated actuator control: Experimental verification and real-time hybrid-simulation implementation.” Earthquake Eng. Struct. Dyn., 44(3), 441–460.
Phillips, B. M., and Spencer, B. F., Jr. (2011). Model-based feedforward-feedback tracking control for real-time hybrid simulation, Univ. of Illinois at Urbana-Champaign, Champaign-Urbana, IL, 42.
Phillips, B. M., and Spencer, B. F., Jr. (2013). “Model-based feedforward-feedback actuator control for real-time hybrid simulation.” J. Struct. Eng., 1205–1214.
Phillips, B. M., Takada, S., Spencer, B. F., Jr., and Fujino, Y. (2014). “Feedforward actuator controller development using the backward-difference method for real-time hybrid simulation.” Smart Struct. Syst., 14(6), 1081–1103.
Schneider, A. M., Kaneshige, J. T., and Groutage, F. D. (1991). “Higher order s-to-z mapping functions and their application in digitizing continuous-time filters.” Proc. IEEE, 79(11), 1661–1674.
Smith, J. O. (2008). Introduction to digital filters: With audio applications, W3K Publishing, Exeter, U.K.
Tomizuka, M. (1987). “Zero phase error tracking algorithm for digital control.” J. Dyn. Syst. Meas. Contr., 109(1), 65–68.
Tyan, F., and Tu, S.-H. (2015). “A Lyapunov based multi-level controller for semi-active suspension system with an MRF damper.” Asian J. Control, 17(2), 615–625.
Wen, J. T., and Potsaid, B. (2004). “An experimental study of a high performance motion control system.” American Control Conf., IEEE, Boston, 5158–5163.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 144Issue 2February 2018

History

Received: Apr 13, 2017
Accepted: Jul 27, 2017
Published online: Nov 29, 2017
Published in print: Feb 1, 2018
Discussion open until: Apr 29, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Saeid Hayati, S.M.ASCE [email protected]
Ph.D. Candidate, Dept. of Civil, Construction and Environmental Engineering, Univ. of Alabama, Tuscaloosa, AL 35487. E-mail: [email protected]
Wei Song, A.M.ASCE [email protected]
Assistant Professor, Dept. of Civil, Construction and Environmental Engineering, Univ. of Alabama, Tuscaloosa, AL 35487 (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share