Chattering-eliminated adaptive sliding-mode control: an experimental comparison study

Chattering-eliminated adaptive sliding-mode control: an experimental comparison study

The present paper deals with a new adaptive sliding-mode control. The switching and equivalent control laws include adaptive gains. An error-dependent adaptive gain in the switching control law and an adaptive parameter in the equivalent control law with respect to open-loop transient response of the system are proposed to eliminate chattering and to increase the performance of the controller. The proposed approach results in chattering elimination without using any complex calculation-based methods, which is highly useful for practical applications. The number of independent gains is also minimized. Therefore, tuning of those gains is simplified. The proposed controller is compared experimentally using an electromechanical system with five different conventional sliding-mode controllers presented in the literature. The experimental results are presented to show the effectiveness of the proposed controller particularly regarding the accuracy of control input, disturbance rejection, and being an alternative controller to use in industrial applications.

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  • [1] Utkin VI. Variable structure systems with sliding modes. IEEE T Automat Contr 1977; 22: 212–222.
  • [2] Lee H, Utkin VI. Chattering suppression methods in sliding mode control systems. Annu Rev Contr 2007; 31: 179–188.
  • [3] Lee H, Utkin VI, Malinin A. Chattering reduction using multiphase sliding mode control. Int J Control 2009; 82: 1720–1737.
  • [4] Monsees G, Scherpen JMA. Adaptive switching gain for a discrete-time sliding mode controller. Int J Control 2002; 75: 242–251.
  • [5] Husain AR, Ahmad MN, Yatim AHH. Chattering-free sliding mode control for an active magnetic bearing system. Int J Aer Mech 2008; 2: 48–54.
  • [6] Kaya ˙I. Sliding mode control of stable processes. Ind Eng Chem Res 2007; 46: 571–578.
  • [7] Eker ˙I, Akınal S¸A. Sliding mode control with integral augmented sliding surface: design and experimental application to an electromechanical system. Electr Eng 2008; 90: 189–197.
  • [8] Tai NT, Ahn KK. A RBF neural network sliding mode control for SMA actuator. Int J Control Aut 2010; 8: 1296–1305.
  • [9] Levant A. Chattering analysis. IEEE T Automat Contr 2010; 55: 1380–1389.
  • [10] Eker ˙I. Sliding mode control with PID sliding surface and experimental application to an electromechanical plant. ISA T 2006; 45: 109–118.
  • [11] Camacho O, Smith CA. Sliding mode control: an approach to regulate nonlinear chemical processes. ISA T 2000; 39: 205–218.
  • [12] Tseng ML, Chen MS. Chattering reduction of sliding mode control by low-pass filtering the control signal. Asian J Control 2010; 12: 292–298.
  • [13] Camacho O, Smith C, Moreno W. Development of an internal model sliding mode controller. Ind Eng Chem Res 2003; 42: 568–573.
  • [14] Kaynak O, Erbatur K, Ertu˘grul M. The fusion of computationally intelligent methodologies and sliding mode control – a survey. IEEE T Ind Electron 2001; 48: 4–17.
  • [15] Xinghou Y, Kaynak O. Sliding-mode control with soft computing: a survey. IEEE T Ind Electron 2009; 56: 3275– 3285.
  • [16] Zhao F, Utkin VI. Adaptive simulation and control of variable-structure control systems in sliding regimes. Automatica 1996; 32: 1037–1042.
  • [17] Guo L, Hung JY, Nelms RM. Comparative evaluation of sliding mode fuzzy controller and PID controller for a boost converter. Electr Pow Syst Res 2011; 81: 99–106.
  • [18] Roopaei M, Jahromi MZ. Chattering-free fuzzy sliding mode control in MIMO uncertain systems. Nonlinear AnalTheor 2009; 71: 4430–4437.
  • [19] Mondal S, Mahanta C. Chattering free adaptive multivariable sliding mode controller for systems with matched and mismatched uncertainty. ISA T 2013; 52: 335–341.
  • [20] Mohseni SA, Tan AH. Optimization of neural networks using variable structure systems. IEEE T Syst Man Cy B 2012; 42: 1645–1653.
  • [21] Plastan F, Shtessel Y, Bregeault V, Poznyak A. New methodologies for adaptive sliding mode control. Int J Control 2010; 83: 1907–1919.
  • [22] Furat M, Eker ˙I. Computer-aided experimental modeling of a real system using graphical analysis of a step response data. Comput Appl Eng Educ 2014: 22: 571–582.
  • [23] Seborg DE, Edgar TF, Mellichamp DA. Process Dynamics and Control. New York, NY, USA: Wiley, 1989.
  • [24] Hsiao MY, Li THS, Lee JZ, Chao CH, Tsai SH. Design of interval type-2 fuzzy sliding-mode controller. Inform Sciences 2008; 178: 1696–1716.