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Proportional integral derivative plus control for nonlinear discrete-time state-dependent parameter. . .

                2013;21(12):1716–1725.                        32. Young PC, Taylor CJ, Tych W, Pedregal DJ. The
                http://dx.doi.org/10.1016/j.conengprac.2013.06.003  Captain Toolbox. Center for Research on Envi-
             22. Deepa SN, Sugumaran G. Design of PID con-        ronmental Systems and Statistics, Lancaster Uni-
                troller for higher-order continuous systems using  versity:UK. 2007.
                MPSO-based model formulation technique. Int J     http://www.es.lancs.ac.uk/cres/captain
                Electr Electron Eng. 2011;5(4):289–295.       33. He J-B, Wang Q-G, Lee T-H. PI/PID controller
                http://dx.doi.org/10.5281/zenodo.1056472          tuning via LQR approach. Chem Eng Sci.
             23. Young PC. Stochastic, dynamic modelling and      2000;55(13):2429–2439.
                signal processing:  Time variable and state       http://dx.doi.org/10.1016/S0009-2509(99)00512-
                dependent parameter estimation. In: Fitzgerald    6
                WJ, ed. Nonlinear and Nonstationary Signal    34. Das S, Pan I, Halder K, Das S, Gupta A. Op-
                Processing. Cambridge University Press; 2000.     timum weight selection-based LQR formulation
                http://dx.doi.org/10.1016/B978-0-7506-7359-       for the design of fractional-order PID controllers
                4.50015-9                                         to handle a class of fractional-order systems. In:
             24. Shaban EM, James CJ, Chotai A. State de-         International Conference on Computer Commu-
                pendent parameter, proportional-Integral-Plus     nication and Informatics (ICCCI), Jan 4, IEEE;
                (SDP-PIP) control of a Nonlinear Robot Digger     2013: pp. 1–6;
                Arm. In: UKACC Control 2004, University of        http://dx.doi.org/10.1109/ICCCI.2013.6466137
                Bath, Bath, UK, ID–059. 2004;                 35. Young PC, Behzadi MA, Wang CL, Chotai A. Di-
                http://dx.doi.org/10.1016/j.ifacol.2005.10.053    rect digital and adaptive control by input-output,
             25. Dixon R, Taylor CJ, Shaban EM. Compari-          state-variable feedback pole assignment. Int J
                son of classical and modern control applied       Control. 1987;46:1867–1881.
                to an excavator-arm. International Federation     http://dx.doi.org/10.1080/00207178708934274
                of Automatic Control 16th Triennial World     36. McCabe AP, Young PC, Chotai A, Taylor CJ.
                Congress (IFAC-05), Prague, Czech Republic.       Proportional-Integral-Plus (PIP) control of non-
                2005;38(1):589–594.                               linear systems.Syst Sci. 2000;26:25–46.
                http://dx.doi.org/10.3182/20050703-6-CZ-          http://dx.doi.org/10.1002/sys.10004
                1902.01368                                    37. ˚ Astr¨om KJ, Wittenmark B. Computer Controlled
             26. Shaban EM, Zied K, Taylor CJ, Seward DW.         Systems: Theory and Design. Prentice-Hall Infor-
                Nonlinear control system design for construc-     mation and System Sciences Series. 1984.
                tion robots: estimation, partial linearization by  38. Shaban EM. Deadbeat response of nonlinear
                feedback and state-dependent-parameter control,   systems described by discrete-time state de-
                22nd International Symposium on Automation        pendent parameter using exact linearization
                and Robotics in Construction (ISARC-05), Fer-     by local coordinate transformation. J Am Sci.
                rara, Italy; 2005.                                2012;8(10):355–366.
                https://doi.org/10.22260/ISARC2005/0041.          http://dx.doi.org/10.7537/j.issn.1545-
             27. Shaban EM, Nada AA. On linearization of          1003.2012.10.053
                nonlinear dynamic systems described by state-  39. Shaban EM, Taylor CJ. Proportional-Integral-
                dependent-Parameter   (SDP)    Discrete-Time      Plus control of a class of nonlinear systems
                Model. In: 5th European Conference on Com-        using exact and partial linearization by feed-
                putational Mechanics (ECCM V), Barcelona,         back. ICGST Int J Autom Control Syst Eng.
                Spain. CIMNE - ECCM V Proceedings; 2014:          2006;6:55–70.
                538–547.                                          http://dx.doi.org/10.1109/ICCCI.2013.6466137
             28. Young PC. Recursive Estimation and Time Series  40. Hamed AR, Darwish RR, Shaban EM, Abdel
                Analysis. Springer-Verlag; 1984.                  Ghany   AM.   Hardware   synthesis  and  dy-
                http://dx.doi.org/10.1007/978-3-642-21981-8       namic modeling of Bitumen tank. J Am Sci.
             29. Young PC. Simplified Refined Instrumental        2014;10(12):183–189.
                Variable (SRIV) estimation and True Digi-         http://dx.doi.org/10.7537/j.issn.1545-
                tal Control (TDC): A tutorial introduction.       1003.2014.12.021
                1st European Control Conference:   Grenoble,
                France.1991;1295–1306.                        E. M. Shaban was born on July 15, 1967, in Cairo,
             30. Janot A, Young PC, Gautier M. Identification  Egypt. He earned his Ph.D. in True Digital Control
                and control of electro-mechanical systems using  (TDC) and System Dynamics from Lancaster Univer-
                state dependent parameter estimation. Int J   sity, Lancaster, UK, in 2006. Currently, Dr. Shaban
                Control. 2017;90(4):643–660.                  is an Associate Professor in the Mechanical Engineer-
                http://dx.doi.org/10.1080/00207179.2016.1209565  ing Technology Department at the College of Applied
             31. Taylor CJ, Pedregal DJ, Young PC, Tych W. En-  Industrial Technology, Jazan University (KSA), while
                vironmental time series analysis and forecasting  on leave from the Faculty of Engineering (Mattaria),
                with the Captain Toolbox. Environ Model Softw.  Helwan University. His research focuses on the con-
                2007;22:797–814.                              trol of highly nonlinear systems, with an emphasis on
                http://dx.doi.org/10.1016/j.envsoft.2006.06.002  improving controller robustness.
                                                           533   https://orcid.org/0000-0002-5678-6183
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