Title :
Fuzzy robust control of MIMO nonlinear uncertain systems
Author :
Azimi, Vahid ; Menhaj, M.B. ; Fakharian, Ahamad
Author_Institution :
Young Res. & elite Club, Islamic Azad Univ., Qazvin, Iran
Abstract :
This paper describes robust H2/H∞ multi-objective state feedback controller for nonlinear uncertain systems. To apply the H2/H∞ multi-objective state feedback method, the nonlinear dynamics is represented by a T-S fuzzy model. First, uncertain parameters and Quantification of uncertainty on physical parameters is defined by affine parameter-dependent systems method. Next, the Takagi and Sugeno´s fuzzy linear model is utilized to approximate uncertain nonlinear systems. Then, some states (error of tracking) are augmented to the system in order to improve tracking control. Finally, based on fuzzy linear model with augmented state, a H2/H∞ multi-objective state feedback controller is developed to achieve the robustness design of nonlinear uncertain systems. LMI (Linear Matrix Inequality) method and PDC (Parallel Distributed Compensation) are used to design the controller for the whole system. The results show that the proposed method can effectively meet the performance requirements like robustness, disturbance rejection and tracking for the 3-phase permanent magnet synchronous motor (PMSM).
Keywords :
H∞ control; H2 control; MIMO systems; compensation; control system synthesis; fuzzy control; linear matrix inequalities; linear systems; nonlinear control systems; nonlinear dynamical systems; robust control; state feedback; uncertain systems; 3-phase permanent magnet synchronous motor; LMI; MIMO nonlinear uncertain systems; PDC; PMSM; T-S fuzzy model; Takagi and Sugeno fuzzy linear model; affine parameter-dependent systems method; augmented state; disturbance rejection; fuzzy robust control; linear matrix inequality method; nonlinear dynamics; parallel distributed compensation; physical parameters; robust H2/H∞ multiobjective state feedback controller; robustness design; state error; state tracking; tracking control; uncertain parameters; uncertainty quantification; 3-phase permanent magnet synchronous motor; Augmented state; Multi objective H2/H∞; Robust control; T-S fuzzy model; Uncertain;
Conference_Titel :
Fuzzy Systems (IFSC), 2013 13th Iranian Conference on
Conference_Location :
Qazvin
Print_ISBN :
978-1-4799-1227-8
DOI :
10.1109/IFSC.2013.6675640