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Higher order sliding mode control based on optimal approach of an electropneumatic actuator. (English) Zbl 1122.93036

Summary: The synthesis and the experimental implementation of robust higher order sliding mode controllers for an electropneumatic actuator are presented. These controllers are based on a recent approach and are designed in monovariable (position control) and multivariable (position and pressure control) contexts. The controllers’ robustness is analysed with respect to parameters uncertainties and load disturbances.

MSC:

93C10 Nonlinear systems in control theory
93C95 Application models in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C35 Multivariable systems, multidimensional control systems
93C41 Control/observation systems with incomplete information
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[1] DOI: 10.1109/9.661074 · Zbl 0904.93003 · doi:10.1109/9.661074
[2] Belgharbi, M, Thomasset, D, Scavarda, S and Sesmat, S. 1999. Analytical model of the flow stage of a pneumatic servo-distributor for simulation and nonlinear control. Scandinavian International Conference on Fluid Power SICFP’99. 1999, Tampere, Finland. pp.847–860.
[3] Bouri, M, Thomasset, D and Scavarda, S. 1996. Integral sliding mode controller of a rotational servodrive. JHPS International Symposium on Fluid Power. 1996, Tokyo, Japan. pp.145–150.
[4] DOI: 10.1109/87.911388 · doi:10.1109/87.911388
[5] Brun X, Journal of Systems and Control Engineering 213 pp 387– (1999)
[6] Brun, X, Sesmat, S, Thomasset, D and Scavarda, S. 1999b. A comparative study between two control laws of an electopneumatic actuator. European Control Conference ECC’99. 1999b, Karlsruhe, Germany. CD-ROM Ref. F1000-5
[7] Brun, X, Thomasset, D, Sesmat, S and Scavarda, S. 1999c. Limited energy consumption in positioning control of electropneumatic actuator. Bath Workshop on Power Transmission and Motion Control. 1999c, Bath, England. pp.199–211.
[8] Brun, X and Thomasset, D. 2000. Choice of control law in electropneumatics. Expertise using an industrial benchmark and some new trends. Conference on Decision and Control CDC’00. 2000, Sydney, Australia. CD-ROM Ref.CD009702
[9] DOI: 10.1016/S0967-0661(02)00030-8 · doi:10.1016/S0967-0661(02)00030-8
[10] Castro-Linarès, R, Glumineau, A, Laghrouche, S and Plestan, F. 2004. Higher order sliding mode observer-based control. IFAC Symposium on System, Structure and Control SSSC 2004. 2004, Oaxaca, Mexico. · Zbl 1137.93338
[11] Edge KA, Journal of Systems and Control Engineering 211 pp 91– (1997)
[12] Emelyanove SV, Differential Equations 29 pp 1627– (1993)
[13] Filippov AF, Differential Equations with Discontinuous Right-Hand Side (1988)
[14] DOI: 10.1007/BFb0027563 · doi:10.1007/BFb0027563
[15] DOI: 10.1016/0167-6911(90)90030-X · Zbl 0692.93043 · doi:10.1016/0167-6911(90)90030-X
[16] DOI: 10.1016/0967-0661(96)00106-2 · doi:10.1016/0967-0661(96)00106-2
[17] DOI: 10.1016/S0967-0661(97)00135-4 · doi:10.1016/S0967-0661(97)00135-4
[18] Laghrouche, S, Plestan, F, Glumineau, A and Boisliveau, R. 2003a. Robust second order sliding mode control for a permanent magnet synchronous motor. American Control Conference ACC’03. 2003a, Denver, Colorado. pp.4071–4076.
[19] Laghrouche, S, Plestan, F and Glumineau, A. 2003b. Higher order sliding mode control based on optimal linear quadratic control. European Control Conference ECC’03. 2003b, Cambridge, England. · Zbl 1137.93338
[20] Laghrouche, S, Smaoui, M, Brun, X and Plestan, F. 2004. Second order sliding mode controllers for pneumatic actuators. American Control Conference ACC’04. 2004, Boston, Massachusetts.
[21] DOI: 10.1080/00207179308923053 · Zbl 0789.93063 · doi:10.1080/00207179308923053
[22] DOI: 10.1109/9.948475 · Zbl 1001.93011 · doi:10.1109/9.948475
[23] DOI: 10.1080/0020717031000099029 · Zbl 1049.93014 · doi:10.1080/0020717031000099029
[24] Lewis FL, Optimal Control,, 2. ed. (1995)
[25] MacCloy D, Control of Fluid Power: Analysis and Design (1980)
[26] DOI: 10.1016/0967-0661(95)00127-G · doi:10.1016/0967-0661(95)00127-G
[27] DOI: 10.1109/87.317984 · doi:10.1109/87.317984
[28] Plestan, F, Laghrouche, S and Glumineau, A. 2004. Higher order sliding mode control for MIMO nonlinear systems. International Workshop on Variable Structure Systems VSS’04. 2004, Vilanova i la Geltrù, Spain. · Zbl 1137.93338
[29] DOI: 10.1109/TAC.1969.1099101 · doi:10.1109/TAC.1969.1099101
[30] Sesmat, S and Scavarda, S. 1996. Static characteristics of a three way servovalve. Conference on Fluid Power Technology. 1996, Aachen, Germany. pp.643–652.
[31] Shearer JL, Trans. Am. Soc. Mech. Eng. 78 pp 233– (1956)
[32] DOI: 10.1016/0167-6911(92)90069-5 · Zbl 0783.93052 · doi:10.1016/0167-6911(92)90069-5
[33] Sira-Ramirez H, IEE Control, Series 66, in: Variable Structure Systems: From Principles to Implementation pp 157– (2004) · doi:10.1049/PBCE066E_ch7
[34] DOI: 10.1080/00207178408933284 · Zbl 0541.93034 · doi:10.1080/00207178408933284
[35] Smaoui, M, Brun, X and Thomasset, D. 2004a. A robust multivariable control for an electropneumatic system using backstepping design. IFAC Symposium on Nonlinear Control Systems NOLCOS. 2004a, Stuttgart, Germany. pp.1193–1198.
[36] Smaoui, M, Brun, X, Thomasset, D and de Giorgi, R. 2004b. Expérimentation d’une commande multivariable par modes glissants d’ordre supérieur sur un système électropneumatique” [in French]. Conférence Internationale Francophone d’Automatique CIFA. 2004b, Douz, Tunisia. CD-ROM Ref. 84
[37] Smaoui M, Ph.D. Thesis (in French) pp 191– (2004)
[38] Utkin VI, Sliding Mode in Control and optimization (1992) · doi:10.1007/978-3-642-84379-2
[39] DOI: 10.1016/S0167-6911(98)00036-X · Zbl 0909.93005 · doi:10.1016/S0167-6911(98)00036-X
[40] Yang, L and Lilly, JH. 2003. Sliding mode tracking for pneumatic muscle actuators in bicep/tricep pair configuration. American Control Conference ACC’03. 2003, Denver, Colorado. pp.4669–4674.
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