Design of Fractional Order Controller for a servohydraulic positioning system with micro Artificial Bee Colony algorithm

This paper deals with an interesting application of designing a Fractional Order Controller for a Servo hydraulic positioning system, to compensate the negative effects of fluid leakage across a faulty actuator piston seal. A novel micro artificial bee colony algorithm (μABC) has been proposed for designing this Fractional order Controller based on minimizing Integral Time Absolute Error (ITAE) criterion. As μABC requires a less number of bees, the solution is obtained much faster than that of basic Artificial Bee Colony (ABC) method. Simulations and comparisons of proposed method along with that of GA and an adaptive variant of ABC in terms of time domain indices indicate the superiority of μABC in designing the fractional controller for a much complex plant.

[1]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[2]  Nariman Sepehri,et al.  Fault-tolerant control of a servohydraulic positioning system with crossport leakage , 2005, IEEE Transactions on Control Systems Technology.

[3]  Renato A. Krohling,et al.  Design of optimal disturbance rejection PID controllers using genetic algorithms , 2001, IEEE Trans. Evol. Comput..

[4]  Sam Kwong,et al.  Gbest-guided artificial bee colony algorithm for numerical function optimization , 2010, Appl. Math. Comput..

[5]  Nasser Sadati,et al.  Design of a fractional order PID controller for an AVR using particle swarm optimization , 2009 .

[6]  Yixin Diao,et al.  Intelligent fault-tolerant control using adaptive and learning methods , 2002 .

[7]  I. Petras,et al.  The fractional - order controllers: Methods for their synthesis and application , 2000, math/0004064.

[8]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[9]  Dervis Karaboga,et al.  A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm , 2007, J. Glob. Optim..

[10]  John D'Azzo,et al.  Linear Control System Analysis and Design: Conventional and Modern , 1977 .

[11]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[12]  I. Podlubny.  Fractional-Order Systems and -Controllers , 1999 .

[13]  Nariman Sepehri,et al.  Robust Position Control of an Electrohydraulic Actuator With a Faulty Actuator Piston Seal , 2003 .

[14]  Alain Oustaloup,et al.  Frequency-band complex noninteger differentiator: characterization and synthesis , 2000 .

[15]  A.S. Mohan,et al.  A Microparticle Swarm Optimizer for the Reconstruction of Microwave Images , 2007, IEEE Transactions on Antennas and Propagation.

[16]  Timothy N. Chang,et al.  Reliable control for systems with block diagonal feedback structure , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[17]  K. B. Oldham,et al.  The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[18]  Fengchao Xiao,et al.  Microwave Imaging of Perfectly Conducting Cylinders from Real Data by Micro Genetic Algorithm Coupled with Deterministic Method , 1998 .

[19]  Dervis Karaboga,et al.  A modified Artificial Bee Colony algorithm for real-parameter optimization , 2012, Inf. Sci..