Robust Takagi-Sugeno fuzzy control for fractional order hydro-turbine governing system.

A robust fuzzy control method for fractional order hydro-turbine governing system (FOHGS) in the presence of random disturbances is investigated in this paper. Firstly, the mathematical model of FOHGS is introduced, and based on Takagi-Sugeno (T-S) fuzzy rules, the generalized T-S fuzzy model of FOHGS is presented. Secondly, based on fractional order Lyapunov stability theory, a novel T-S fuzzy control method is designed for the stability control of FOHGS. Thirdly, the relatively loose sufficient stability condition is acquired, which could be transformed into a group of linear matrix inequalities (LMIs) via Schur complement as well as the strict mathematical derivation is given. Furthermore, the control method could resist random disturbances, which shows the good robustness. Simulation results indicate the designed fractional order T-S fuzzy control scheme works well compared with the existing method.

[1]  Ling Zhou,et al.  Hydraulic Transients in the Long Diversion-Type Hydropower Station with a Complex Differential Surge Tank , 2014, TheScientificWorldJournal.

[2]  Mohammad Pourmahmood Aghababa,et al.  Chaotic behavior in fractional-order horizontal platform systems and its suppression using a fractional finite-time control strategy , 2014 .

[3]  Lorenz T. Biegler,et al.  Optimization of Fractional Order Dynamic Chemical Processing Systems , 2014 .

[5]  Jing Qian,et al.  The generalized Hamiltonian model for the shafting transient analysis of the hydro turbine generating sets , 2014 .

[6]  Jian Xiao,et al.  Hydraulic turbine governing system identification using T-S fuzzy model optimized by chaotic gravitational search algorithm , 2013, Eng. Appl. Artif. Intell..

[7]  Daijian Ling,et al.  An analysis of the hopf bifurcation in a hydroturbine governing system with saturation , 2006 .

[8]  S. Harikrishnan,et al.  Oscillation of certain nonlinear fractional partial differential equation with damping term , 2015, Appl. Math. Lett..

[9]  Nand Kishor,et al.  Dynamic simulations of hydro turbine and its state estimation based LQ control , 2006 .

[10]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[11]  Jimin Yu,et al.  Generalized Mittag-Leffler stability of multi-variables fractional order nonlinear systems , 2013, Autom..

[12]  Chongxin Liu,et al.  Hyperchaos synchronization of fractional-order arbitrary dimensional dynamical systems via modified sliding mode control , 2014 .

[13]  Xian Zhang,et al.  Fuzzy-Model-Based ${{\cal D}}$-Stability and Nonfragile Control for Discrete-Time Descriptor Systems With Multiple Delays , 2014, IEEE Transactions on Fuzzy Systems.

[14]  C. Vargas‐De‐León,et al.  Volterra-type Lyapunov functions for fractional-order epidemic systems , 2015 .

[15]  AJESH,et al.  Frequency-Adaptive Fractional-Order Repetitive Control of Shunt Active Power Filters , 2016 .

[16]  Mekki Ksouri,et al.  Model Predictive Control of Fractional Order Systems. , 2014, Journal of computational and nonlinear dynamics.

[17]  Bin Wang,et al.  Takagi-Sugeno fuzzy control for a wide class of fractional-order chaotic systems with uncertain parameters via linear matrix inequality , 2016 .

[18]  Witold Pedrycz,et al.  A New Relaxed Stability Condition for Takagi-Sugeno Fuzzy Control Systems Using Quadratic Fuzzy Lyapunov Functions and Staircase Membership Functions , 2014 .

[19]  Jing-Wen Yi,et al.  Adaptive pinning cluster synchronization of fractional-order complex dynamical networks , 2014, Appl. Math. Comput..

[20]  Lu Liu,et al.  Variable-order fuzzy fractional PID controller. , 2015, ISA transactions.

[21]  Beibei Xu,et al.  Nonlinear modeling and dynamic analysis of hydro-turbine governing system in the process of load rejection transient , 2015 .

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

[23]  Dumitru Baleanu,et al.  Efficient generalized Laguerre-spectral methods for solving multi-term fractional differential equations on the half line , 2014 .

[24]  罗晓曙,et al.  Fractional-order permanent magnet synchronous motor and its adaptive chaotic control , 2012 .

[25]  Paolo Pennacchi,et al.  Modeling of the dynamic response of a Francis turbine , 2012 .

[26]  Zhaohui Li,et al.  Dynamic model for hydro-turbine generator units based on a database method for guide bearings , 2013 .

[27]  S. Ghasemi,et al.  Application of Fractional Calculus Theory to Robust Controller Design for Wind Turbine Generators , 2014, IEEE Transactions on Energy Conversion.

[28]  Bin Wang,et al.  Robust finite-time control of fractional-order nonlinear systems via frequency distributed model , 2016 .

[29]  Xudong Zhao,et al.  Discussions on observer design of nonlinear positive systems via T-S fuzzy modeling , 2015, Neurocomputing.

[30]  Diyi Chen,et al.  Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system , 2015 .