An Iterative Optimization Approach for Fuzzy Predictive Control

This paper proposes an iterative approach in fuzzy model predictive control. When the prediction model is nonlinear or uncertain, non-convex optimization is often encountered which has to be solved by iterative approximation. An alternative is to convert the original issue into a min-max robust MPC problem, where the knowledge of the predictive membership function is not utilized. In this paper, based on the robust MPC approach, we further enhance the model prediction by iteratively applying the optimal control move and state sequences in order to improve the performance. A numerical example is provided to illustrate the effectiveness of the proposed approach.

[1]  Marko Bacic,et al.  Model predictive control , 2003 .

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

[3]  Yan Song,et al.  Robust $H_{2}/H_\infty$ Model Predictive Control for Linear Systems With Polytopic Uncertainties Under Weighted MEF-TOD Protocol , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[4]  H. Karimi,et al.  A Robust Predictive Control Design for Nonlinear Active Suspension Systems , 2016 .

[5]  Wei Zheng,et al.  Stability Analysis and Dynamic Output Feedback Control for Nonlinear T-S Fuzzy System with Multiple Subsystems and Normalized Membership Functions , 2018 .

[6]  Chun-Hsiung Fang,et al.  A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems , 2006, IEEE Trans. Fuzzy Syst..

[7]  Jianbin Qiu,et al.  Adaptive Fuzzy Control for Nontriangular Structural Stochastic Switched Nonlinear Systems With Full State Constraints , 2019, IEEE Transactions on Fuzzy Systems.

[8]  Baocang Ding,et al.  Homogeneous Polynomially Nonquadratic Stabilization of Discrete-Time Takagi–Sugeno Systems via Nonparallel Distributed Compensation Law , 2010, IEEE Transactions on Fuzzy Systems.

[9]  Xiangpeng Xie,et al.  Control Synthesis of Discrete-Time T–S Fuzzy Systems Based on a Novel Non-PDC Control Scheme , 2013, IEEE Transactions on Fuzzy Systems.

[10]  Jin Bae Park,et al.  Improvement on Nonquadratic Stabilization of Discrete-Time Takagi–Sugeno Fuzzy Systems: Multiple-Parameterization Approach , 2010, IEEE Transactions on Fuzzy Systems.

[11]  Jie Lan,et al.  Design of type-2 Fuzzy Logic Systems Based on Improved Ant Colony Optimization , 2019 .

[12]  Jianbin Qiu,et al.  A Combined Adaptive Neural Network and Nonlinear Model Predictive Control for Multirate Networked Industrial Process Control , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[13]  Gang Feng,et al.  H/sub /spl infin// controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities , 2005, IEEE Transactions on Fuzzy Systems.

[14]  Youyi Wang,et al.  Fuzzy Model Predictive Control of Discrete-Time Systems with Time-Varying Delay and Disturbances , 2018, IEEE Transactions on Fuzzy Systems.

[15]  Gang Feng,et al.  An optimal approach to output‐feedback robust model predictive control of LPV systems with disturbances , 2016 .

[16]  Kazuo Tanaka,et al.  A multiple Lyapunov function approach to stabilization of fuzzy control systems , 2003, IEEE Trans. Fuzzy Syst..

[17]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[18]  János Abonyi,et al.  Effective optimization for fuzzy model predictive control , 2004, IEEE Transactions on Fuzzy Systems.

[19]  Jianbin Qiu,et al.  Observer-Based Fuzzy Adaptive Event-Triggered Control for Pure-Feedback Nonlinear Systems With Prescribed Performance , 2019, IEEE Transactions on Fuzzy Systems.

[20]  J. Rawlings,et al.  A new robust model predictive control method I: theory and computation , 2004 .

[21]  Thierry-Marie Guerra,et al.  LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form , 2004, Autom..

[22]  Barbara Mayer,et al.  Cooperative Fuzzy Model-Predictive Control , 2016, IEEE Transactions on Fuzzy Systems.

[23]  Kazuo Tanaka,et al.  Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs , 1998, IEEE Trans. Fuzzy Syst..

[24]  J. Rossiter,et al.  Robust predictive control using tight sets of predicted states , 2000 .

[25]  D. Q. Mayne,et al.  Suboptimal model predictive control (feasibility implies stability) , 1999, IEEE Trans. Autom. Control..

[26]  Baocang Ding PROPERTIES OF PARAMETER-DEPENDENT OPEN-LOOP MPC FOR UNCERTAIN SYSTEMS WITH POLYTOPIC DESCRIPTION , 2009 .

[27]  Tao Zou,et al.  An Offline Optimization and Online Table Look-Up Strategy of Two-Layer Model Predictive Control , 2018, IEEE Access.

[28]  David Q. Mayne,et al.  Model predictive control: Recent developments and future promise , 2014, Autom..

[29]  Yuxin Zhao,et al.  Interval Type-2 Fuzzy Model Predictive Control of Nonlinear Networked Control Systems , 2015, IEEE Transactions on Fuzzy Systems.