Fuzzy fractional order sliding mode controller for nonlinear systems

In this paper, an intelligent robust fractional surface sliding mode control for a nonlinear system is studied. At first a sliding PD surface is designed and then, a fractional form of these networks PDα, is proposed. Fast reaching velocity into the switching hyperplane in the hitting phase and little chattering phenomena in the sliding phase is desired. To reduce the chattering phenomenon in sliding mode control (SMC), a fuzzy logic controller is used to replace the discontinuity in the signum function at the reaching phase in the sliding mode control. For the problem of determining and optimizing the parameters of fuzzy sliding mode controller (FSMC), genetic algorithm (GA) is used. Finally, the performance and the significance of the controlled system two case studies (robot manipulator and coupled tanks) are investigated under variation in system parameters and also in presence of an external disturbance. The simulation results signify performance of genetic-based fuzzy fractional sliding mode controller.

[1]  Her-Terng Yau,et al.  Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems , 2006 .

[2]  Hadi Delavari,et al.  Robust intelligent control of coupled tanks , 2007 .

[3]  Fawang Liu,et al.  A Computationally Effective Predictor-Corrector Method for Simulating Fractional Order Dynamical Control System , 2006 .

[4]  Vicente Feliú Batlle,et al.  Fractional order control strategies for power electronic buck converters , 2006, Signal Process..

[5]  Yangquan Chen,et al.  Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality , 2007, Appl. Math. Comput..

[6]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[7]  R. Shahnazi,et al.  Position control of induction and DC servomotors: a novel adaptive fuzzy PI sliding mode control , 2006 .

[8]  Jose Alvarez-Ramirez,et al.  A fractional-order Darcy's law , 2007 .

[9]  H. W. Bode,et al.  Network analysis and feedback amplifier design , 1945 .

[10]  M. Nakagawa,et al.  Basic Characteristics of a Fractance Device , 1992 .

[11]  J. Álvarez-Ramírez,et al.  Effective medium equations for fractional Fick's law in porous media , 2007 .

[12]  H. Delavari,et al.  Genetic-based Fuzzy Sliding Mode Control of an Interconnected Twin-Tanks , 2007, EUROCON 2007 - The International Conference on "Computer as a Tool".

[13]  R. Bagley,et al.  On the Appearance of the Fractional Derivative in the Behavior of Real Materials , 1984 .

[14]  António M. Lopes,et al.  Fractional Order Control of a Hexapod Robot , 2004 .

[15]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[16]  M. Khalid Khan,et al.  Robust MIMO water level control in interconnected twin-tanks using second order sliding mode control , 2006 .

[17]  Duarte Valério,et al.  Tuning of fractional PID controllers with Ziegler-Nichols-type rules , 2006, Signal Process..

[18]  I. Podlubny.  Fractional differential equations , 1998 .

[19]  Vicente Feliu-Batlle,et al.  Fractional robust control of main irrigation canals with variable dynamic parameters , 2007 .

[20]  Yangquan Chen,et al.  Two direct Tustin discretization methods for fractional-order differentiator/integrator , 2003, J. Frankl. Inst..

[21]  Naif B. Almutairi,et al.  Sliding mode control of coupled tanks , 2006 .