LMI-based robust control of floating tension-leg platforms with uncertainties and time-delays in offshore wind turbines via T-S fuzzy approach

Abstract This paper proposed the stabilization control of the tension leg platform (TLP), which is one of the most common types of offshore floating wind turbines. The main problem which exists in the installation of this kind of turbines is how to control and float them on water owing to the collision of turbulent waves of the sea. For this purpose, to design the controller on mentioned system, first a nonlinear function is introduced as a candidate of Lyapunov; then, it is proved if TLP system is stable using robust control in the presence of uncertainties, time delays and disturbances. Then, phase Takagi-Sugeno (T-S) model as a controller is provided for the mentioned system. In this case, using linear matrix inequalities (LMIs), the required feedback efficiency of the fuzzy controller can be obtained. Finally, by simulating in Simulink-MATLAB environment, it can be seen that not only the controller design is performed more easily, but all the state variables are asymptotically stable.

[1]  Saleh Mobayen,et al.  Fast terminal sliding mode controller design for nonlinear second-order systems with time-varying uncertainties , 2015, Complex..

[2]  Tao Fan,et al.  Robust adaptive synchronisation of complex networks with multiple coupling time-varying delays , 2013, Int. J. Autom. Control..

[3]  Puneet Agarwal,et al.  Simulation of Offshore Wind Turbine Response for Extreme Limit States , 2007 .

[4]  Thierry-Marie Guerra,et al.  Observer design for Takagi-Sugeno descriptor models: An LMI approach , 2015, Autom..

[5]  M. Ni,et al.  A DIRECT APPROACH TO THE DESIGN OF ROBUST TRACKING CONTROLLERS FOR UNCERTAIN DELAY SYSTEMS , 2006 .

[6]  Saleh Mobayen,et al.  Finite-time stabilization of a class of chaotic systems with matched and unmatched uncertainties: An LMI approach , 2016, Complex..

[7]  Peter Liu,et al.  Robust output tracking control for discrete-time nonlinear systems with time-varying delay: Virtual fuzzy model LMI-based approach , 2012, Expert Syst. Appl..

[8]  S. Mobayen,et al.  An LMI-based robust controller design using global nonlinear sliding surfaces and application to chaotic systems , 2015 .

[9]  Jason Jonkman,et al.  Quantitative Comparison of the Responses of Three Floating Platforms , 2010 .

[10]  Katsuji Tanizawa,et al.  Energy savings for ship propulsion in waves based on real-time optimal control of propeller pitch and electric propulsion , 2017 .

[11]  R. Nazir,et al.  Taylor series expansion based repetitive controllers for power converters, subject to fractional delays , 2017 .

[12]  Thor I. Fossen,et al.  Practical aspects of frequency-domain identification of dynamic models of marine structures from hydrodynamic data , 2011 .

[13]  Quanxin Zhu,et al.  Stability of linear stochastic delay differential equations with infinite Markovian switchings , 2018 .

[14]  Wen-Hua Chen,et al.  Disturbance-observer-based robust control for time delay uncertain systems , 2010 .

[15]  Hansheng Wu,et al.  Adaptive robust tracking and model following of uncertain dynamical systems with multiple time delays , 2004, IEEE Trans. Autom. Control..

[16]  Hong Gu,et al.  Asymptotic and exponential stability of uncertain system with interval delay , 2012, Appl. Math. Comput..

[17]  Cheng-Wu Chen,et al.  Fuzzy Control for an Oceanic Structure: A Case Study in Time-delay TLP System , 2010 .

[18]  Qing-Long Han,et al.  A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems , 2008, Autom..

[19]  Yude Ji,et al.  Observer-Based Robust Controller Design for Nonlinear Fractional-Order Uncertain Systems via LMI , 2017 .

[20]  Sadegh Motahar,et al.  The Wind Energy Potential in the Coasts of Persian Gulf Used in Design and Analysis of a Horizontal Axis Wind Turbine , 2011 .

[21]  Madjid Karimirad Stochastic Dynamic Response Analysis of Spar-Type Wind Turbines with Catenary or Taut Mooring Systems , 2011 .

[22]  Saleh Mobayen,et al.  An LMI-based robust tracker for uncertain linear systems with multiple time-varying delays using optimal composite nonlinear feedback technique , 2015 .

[23]  Munna Khan,et al.  TS Fuzzy Controller of Maglev System Based on Relaxed Stabilization Conditions , 2018 .

[24]  Cheng-Wu Chen,et al.  A novel control algorithm for interaction between surface waves and a permeable floating structure , 2016 .

[25]  Cheng-Wu Chen,et al.  Stability conditions of fuzzy systems and its application to structural and mechanical systems , 2006, Adv. Eng. Softw..

[26]  Cheng-Wu Chen,et al.  Modeling, control, and stability analysis for time-delay TLP systems using the fuzzy Lyapunov method , 2011, Neural Computing and Applications.