The DOI matches its Crossref record; 78 of the 78 references it cites were found in a registry or an index.
A new Sliding Mode Control tuning approach for second-order inverse-response plus variable dead time processes
Open accessAbstract
This work addresses a new set of tuning rules for Sliding Mode Control (SMC) applied to second-order inverse-response plus variable dead time processes. Descriptions of the dynamics of inverse response systems and sliding-mode controllers are first provided. Then, we present the design process for the set of SMC tuning rules, using dimensional analysis, experimental design, optimization, and model reduction techniques for set-point tracking. The obtained expressions are simple, which eases the application of the proposed step-by-step systematic methodology. The performance and robustness of the proposed SMC tuning method are compared to other well-known controllers, and then applied to a Van de Vusse isothermal reactor, which is a complex nonlinear second-order inverse-response system that exhibits variable dead time. The performance achieved with the new SMC tuning method is good for set-point tracking, while exhibiting a good behavior for disturbance rejection, and can be applied considering a wide-range of parameters of the process’ transfer function.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
1 retracted
Kaya, İ. (2020) · Transactions of the Institute of Measurement and Control · doi:10.1177/0142331220941657 · Cited by 25
RetractedSlotine, J.-J. E., & Li, W. (1991) · CERN Document Server (European Organization for Nuclear Research) · Cited by 18,937
Simple analytic rules for model reduction and PID controller tuning
Skogestad, S. (2002) · Journal of Process Control · doi:10.1016/s0959-1524(02)00062-8 · Cited by 2,040
(1978) · Chemical & Engineering News · doi:10.1021/cen-v056n033.p045 · Cited by 1,838
Introduction to time series analysis and forecasting
(2008) · Choice Reviews Online · doi:10.5860/choice.46-0946 · Cited by 1,405
Process Dynamics, Modeling, and Control
Ogunnaike, B. A., & Ray, W. H. (1994) · Medical Entomology and Zoology · Cited by 868
Process Control: Modeling, Design and Simulation
Bequette, B. W. (2002) · Medical Entomology and Zoology · Cited by 820
Statistics for Experimenters: Design, Innovation and Discovery
Pigeon, J. G. (2006) · Technometrics · doi:10.1198/tech.2006.s379 · Cited by 437
PI/PID Controller Design Based on Direct Synthesis and Disturbance Rejection
Chen, D., & Seborg, D. E. (2002) · Industrial & Engineering Chemistry Research · doi:10.1021/ie010756m · Cited by 430
A New Reaching Law for Antidisturbance Sliding-Mode Control of PMSM Speed Regulation System
Wang, Y., Feng, Y., Zhang, X., & Liang, J. (2019) · IEEE Transactions on Power Electronics · doi:10.1109/tpel.2019.2933613 · Cited by 421
Design and Analysis of Experiments
Fávero, L. P. L., & Belfiore, P. (2019) · Elsevier eBooks · doi:10.1016/b978-0-12-811216-8.00021-5 · Cited by 321
Sliding mode control: an approach to regulate nonlinear chemical processes
Camacho, O. E., & Smith, C. A. (2000) · ISA Transactions · doi:10.1016/s0019-0578(99)00043-9 · Cited by 249
Self-citationAdaptive Sliding Mode Control for Takagi–Sugeno Fuzzy Systems and Its Applications
Li, H., Wang, J., Du, H., et al. (2017) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2017.2686357 · Cited by 222
Handbook Of Pi and PID Controller Tuning Rules
O’Dwyer, A. (2009) · IMPERIAL COLLEGE PRESS eBooks · doi:10.1142/9781848162433 · Cited by 213
Begum, K. G., Rao, A. S., & Radhakrishnan, T. K. (2017) · ISA Transactions · doi:10.1016/j.isatra.2017.03.005 · Cited by 148
Feedback controllers for the process industries
Shinskey, F. G. (1994) · Cited by 137
Controlling industrial dead-time systems: When to use a PID or an advanced controller
da Silva, L. R., Flesch, R. C. C., & Normey‐Rico, J. E. (2019) · ISA Transactions · doi:10.1016/j.isatra.2019.09.008 · Cited by 96
Variable structure control applied to chemical processes with inverse response
Camacho, O. E., Rojas, R., & Garcı́a, W. (1999) · ISA Transactions · doi:10.1016/s0019-0578(99)00005-1 · Cited by 91
Self-citationSome long time delay sliding mode control approaches
Camacho, O. E., Rojas, R., & García-Gabín, W. (2007) · ISA Transactions · doi:10.1016/j.isatra.2006.06.002 · Cited by 90
Self-citationPai, N., Chang, S.-C., & Huang, C. (2010) · Journal of Process Control · doi:10.1016/j.jprocont.2010.04.003 · Cited by 87
Design of a sliding mode control system for chemical processes
Chen, C., & Peng, S. (2005) · Journal of Process Control · doi:10.1016/j.jprocont.2004.11.001 · Cited by 84
INVERSE RESPONSE IN PROCESS CONTROL
Iinoya, K., & Altpeter, R. J. (1962) · Industrial & Engineering Chemistry · doi:10.1021/ie50631a007 · Cited by 83
An approach of dynamic sliding mode control for chemical processes
Herrera, M., Camacho, O. E., Leiva, H., et al. (2019) · Journal of Process Control · doi:10.1016/j.jprocont.2019.11.008 · Cited by 83
Self-citationSliding Mode Control: An Approach to Control a Quadrotor
Herrera, M., Gómez, A. P., Chamorro, W., et al. (2015) · doi:10.1109/apcase.2015.62 · Cited by 74
PID controller design for integrating processes with time delay
Shamsuzzoha, M., & Lee, M. (2008) · Korean Journal of Chemical Engineering · doi:10.1007/s11814-008-0106-2 · Cited by 74
Parameter tuning of second-order sliding mode controllers for linear plants with dynamic actuators
Boiko, I. M., Fridman, L. M., Iriarte, R., et al. (2006) · Automatica · doi:10.1016/j.automatica.2006.01.009 · Cited by 71
Development of an Internal Model Sliding Mode Controller
Camacho, O. E., Smith, C. A., & Moreno, W. A. (2002) · Industrial & Engineering Chemistry Research · doi:10.1021/ie010481a · Cited by 67
Self-citationChien, I., Chung, Y.-C., Chen, B.-S., et al. (2003) · Industrial & Engineering Chemistry Research · doi:10.1021/ie020726z · Cited by 66
Tuning Proportional−Integral Controllers for Processes with Both Inverse Response and Deadtime
Luyben, W. L. (2000) · Industrial & Engineering Chemistry Research · doi:10.1021/ie9906114 · Cited by 64
Methodology of Mathematical Error-Based Tuning Sliding Mode Controller
Piltan, F., Boroomand, B., Jahed, A., et al. (2012) · Cited by 63
Second order inverse response process identification from transient step response
Balaguer, P., Alfaro, V. M., & Arrieta, O. (2010) · ISA Transactions · doi:10.1016/j.isatra.2010.11.005 · Cited by 53
A sliding-mode based controller for trajectory tracking of perturbed Unicycle Mobile Robots
Mera, M., Ríos, H., & Martínez, E. (2020) · Control Engineering Practice · doi:10.1016/j.conengprac.2020.104548 · Cited by 43
Analytical Design of Proportional−Integral−Derivative Controllers for Inverse Response Processes
Scali, C., & Rachid, A. (1998) · Industrial & Engineering Chemistry Research · doi:10.1021/ie970558o · Cited by 41
Passivity Sliding Mode Control of Large-Scale Power Systems
Huerta, H., Loukianov, A. G., & Canedo, J. M. (2018) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2018.2791928 · Cited by 41
On Inverse Repsonse in Process Control
Waller, K. V., & Nygardas, C. G. (1975) · Industrial & Engineering Chemistry Fundamentals · doi:10.1021/i160055a014 · Cited by 40
Domínguez, X., Camacho, O. E., Leica, P., & Rosales, A. (2016) · IEEE Ecuador Technical Chapters Meeting (ETCM) · doi:10.1109/etcm.2016.7750835 · Cited by 40
Self-citationQuantitative Performance Design for Inverse-Response Processes
Zhang, W., Xu, X., & Sun (2000) · Industrial & Engineering Chemistry Research · doi:10.1021/ie990067z · Cited by 39
A sliding mode control proposal for open-loop unstable processes
Rojas, R., Camacho, O. E., & González, L. G. (2004) · ISA Transactions · doi:10.1016/s0019-0578(07)60034-2 · Cited by 37
Self-citationTavakoli, S., & Fleming, P. J. (2003) · European Control Conference (ECC) · doi:10.23919/ecc.2003.7085293 · Cited by 36
Auto-tuning of sliding mode control parameters using fuzzy logic
Ryu, S.-H., & Park, J.-H. (2001) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2001.945615 · Cited by 36
Smith predictor with sliding mode control for processes with large dead times
Mehta, U., & Kaya, İ. (2017) · Journal of Electrical Engineering · doi:10.1515/jee-2017-0081 · Cited by 34
Observer-based sliding mode control for bilateral teleoperation with time-varying delays
Yang, H., Liu, L., & Wang, Y. (2019) · Control Engineering Practice · doi:10.1016/j.conengprac.2019.07.015 · Cited by 34
Control of the process with inverse response and dead-time based on disturbance observer
Zhu, H., Zhang, G., & Hui-he, S. (2005) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2005.1470759 · Cited by 33
P+d Plus Sliding Mode Control for Bilateral Teleoperation of a Mobile Robot
Salinas, L. R., Santiago, D., Slawiñski, E., Mut, V. A., Chávez, D., Leica, P., & Camacho, O. E. (2018) · International Journal of Control Automation and Systems · doi:10.1007/s12555-017-0439-x · Cited by 32
Self-citationNew Approaches for On-line Tuning of the Linear Sliding Surface Slope in Sliding Mode Controllers
Tokat, S., Eksin, İ., & Güzelkaya, M. (2003) · DergiPark (Istanbul University) · Cited by 31
Reactor-network synthesis via flux profile analysis
Kaiser, N. M., Flassig, R., & Sundmacher, K. (2017) · Chemical Engineering Journal · doi:10.1016/j.cej.2017.09.051 · Cited by 31
Dynamical sliding mode control for nonlinear systems with variable delay
Baez, E., Bravo, Y., Leica, P., et al. (2017) · IEEE Colombian Conference on Automatic Control (CCAC) · doi:10.1109/ccac.2017.8276426 · Cited by 31
Continuous terminal sliding mode control using novel fuzzy neural network for active power filter
Chu, Y., Hou, S., & Fei, J. (2021) · Control Engineering Practice · doi:10.1016/j.conengprac.2021.104735 · Cited by 25
Experimental comparison of control strategies for trajectory tracking for mobile robots
Capito, L., Proaño, P., Camacho, O. E., et al. (2016) · International Journal of Automation and Control · doi:10.1504/ijaac.2016.077591 · Cited by 24
Self-citationOptimal tuning rules for PI/PID controllers for inverse response processes
Irshad, M., & Ali, A. (2018) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2018.05.063 · Cited by 24
Control-affine neural network approach for nonminimum-phase nonlinear process control
Aoyama, A., Doyle, F. J., & Venkatasubramanian, V. (1996) · Journal of Process Control · doi:10.1016/0959-1524(95)00012-7 · Cited by 23
Robust H∞ control for Van de Vusse reactor via T–S fuzzy bilinear scheme
Tsai, S. (2010) · Expert Systems with Applications · doi:10.1016/j.eswa.2010.09.158 · Cited by 22
Nonlinear extended output feedback control for CSTRs with van de Vusse reaction
Kuntanapreeda, S., & Marusak, P. M. (2012) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2012.02.010 · Cited by 19
Adaptive Neural Control of Active Power Filter Using Fuzzy Sliding Mode Controller
Wang, T., & Fei, J. (2016) · IEEE Access · doi:10.1109/access.2016.2591978 · Cited by 19
Sliding mode control on receding horizon: Practical control design and application
Yin, L., Turesson, G., Tunestål, P., et al. (2021) · Control Engineering Practice · doi:10.1016/j.conengprac.2021.104724 · Cited by 18
Siddiqui, M. A., Anwar, M. N., & Laskar, S. H. (2020) · Journal of Control Automation and Electrical Systems · doi:10.1007/s40313-020-00603-x · Cited by 17
PID Tuning Method Based on IMC for Inverse-Response Second-Order Plus Dead Time Processes
Cárdenas, D., Castrillón, F., Vásquez, R. E., et al. (2020) · Processes · doi:10.3390/pr8091183 · Cited by 17
Self-citationChattering-eliminated adaptive sliding-mode control: an experimental comparison study
Furat, M., & Eker, İ. (2016) · TURKISH JOURNAL OF ELECTRICAL ENGINEERING & COMPUTER SCIENCES · doi:10.3906/elk-1309-137 · Cited by 16
Lima, D. M., Lima, B. M., & Normey‐Rico, J. E. (2021) · Journal of Process Control · doi:10.1016/j.jprocont.2021.07.011 · Cited by 14
Design a robust self-tuning fuzzy sliding mode control for second order systems
Aryanfar, A., & Piltan, F. (2012) · Cited by 12
Enhanced PID Controller for Non-Minimum Phase Second Order Plus Time Delay System
Patil, P., & Rao, C. S. (2019) · Chemical Product and Process Modeling · doi:10.1515/cppm-2018-0059 · Cited by 12
Control of nonlinear chemical process using sliding mode control
Rasul, T., & Pathak, M. (2016) · IEEE International Conference on Power Electronics, Intelligent Control and Energy Systems · doi:10.1109/icpeices.2016.7853520 · Cited by 10
Tracking error plus damping injection control of non-minimum phase processes
Nguyen, T. S., Hoang, N. H., & Hussain, M. A. (2018) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2018.09.351 · Cited by 10
Embedded fuzzy sliding mode control for polymer extrusion process
Shaalan, A. S., El-Nagar, A. M., El-Bardini, M. A., et al. (2020) · ISA Transactions · doi:10.1016/j.isatra.2020.03.026 · Cited by 10
Introduction of Process Control (6)
OKANO, Y. (1978) · FLOTATION · doi:10.4144/rpsj1954.25.168 · Cited by 9
Processes with variable dead time: Comparison of hybrid control schemes based on internal model
Herrera, M., Morales, L. A., Rosales, A., et al. (2017) · IEEE Ecuador Technical Chapters Meeting (ETCM) · doi:10.1109/etcm.2017.8247483 · Cited by 8
Model Reference Adaptive Control for Non-Minimum Phase System by Periodic Feedback
Miyasato, Y. (1991) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)51352-x · Cited by 7
Comparative analysis of order reduction techniques
Shrivastava, N., & Varshney, P. (2016) · International Innovative Applications of Computational Intelligence on Power, Energy and Controls with their Impact on Humanity (CIPECH) · doi:10.1109/cipech.2016.7918735 · Cited by 7
Comparison of control schemes for path tracking of mobile manipulators
Leica, P., Camacho, O. E., Lozada, S., et al. (2017) · International Journal of Modelling Identification and Control · doi:10.1504/ijmic.2017.085300 · Cited by 7
Self-citationTuning Parameters Optimization Approach for Dynamical Sliding Mode Controllers
Baez, E., Bravo, Y., Chávez, D., et al. (2018) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2018.07.355 · Cited by 7
Improved Inverse Response of Boiler Drum Level using Fuzzy Self Adaptive PID Controller
Kadu, C. B., & Sakhare, D. V. (2015) · International Journal of Engineering Trends and Technology · doi:10.14445/22315381/ijett-v19p224 · Cited by 6
The two-degree-of-freedom parallel control for inverse response plus time delay
Xu, G., Wu, T., Zhang, J., et al. (2019) · Systems Science & Control Engineering · doi:10.1080/21642583.2019.1661313 · Cited by 6
A Model Predictive Controller for Inverse Response Control Systems
Vu, K. M. (2015) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2015.09.027 · Cited by 5
Model reference adaptive control for nonminimum-phase systems using a surrogate tracking error
Hoagg, J. B. (2011) · doi:10.1109/cdc.2011.6160763 · Cited by 5
ON SLIDING-MODE CONTROL FOR INVERSE RESPONSE PROCESSES
Rojas, R., García-Gabín, W., & Camacho, O. E. (2005) · IFAC Proceedings Volumes · doi:10.3182/20050703-6-cz-1902.01661 · Cited by 5
Self-citationDesign of inverse response compensator for complex process
Joshi, M., Uniyal, J., & Juneja, P. K. (2016) · International Conference on Advances in Computing, Communication & Automation (ICACCA) · doi:10.1109/icacca.2016.7578882 · Cited by 3
Patiño, K., Chávez, D., & Camacho, O. E. (2019) · IEEE Colombian Conference on Automatic Control (CCAC) · doi:10.1109/ccac.2019.8921192 · Cited by 1
Self-citationOrder Reduction Rules Based on Statistical Techniques for Inverse Response Processes
Castellanos, D., Castrillón, F., Camacho, O. E., et al. (2020) · doi:10.1109/ciima50553.2020.9290180 · Cited by 1
Self-citation
Research works printed but not linked: 3
- Sree, 2003, Simple method of tuning PI controller for stable inverse response systems, J. Indian Inst. Sci., 83, 73
- Musmade, 2011, Design of sliding mode controller to chemical processes for improved performance, Int. J. Control Autom., 4, 15
- Piltan, 2012, Methodology of mathematical error-based tuning sliding ModeController, Int. J. Eng., 2, 96
Metadata
- Authors
- Castellanos-Cárdenas, D., Castrillón, F., Vásquez, R. E., Posada, N. L., & Camacho, O.
- Affiliations
- Universidad de Medellín (CO)
- Universidad Pontificia Bolivariana (CO)
- Universidad San Francisco de Quito (EC)
- Corresponding author
- Vásquez, Rafael E.
- Venue
- Journal of Process Control
- Publisher
- Elsevier BV
- Published
- 2022-07
- Volume
- 115
- Pages
- 77-88
- ISSN
- 0959-1524 (ISSN-L)
- OpenAlex
- W4280637238
- Cited by
- 26
- References
- 78
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 4 · 2023: 12 · 2022: 3
- FWCI
- 2.42
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Journal of Process Control (publishedVersion, cc-by-nc-nd)
- Funders
- Universidad Pontificia Bolivariana
- Universidad San Francisco de Quito
- Universidad de Medellín
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Optimization
- Keywords
- sliding mode control, controller tuning rules, second-order processes, reference tracking, disturbance rejection, nonlinear process control, robustness
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review