Constrained model predictive control for nonlinear system subject to actuator saturation

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (31): 245-248.

• 工程与应用 • Previous Articles

Constrained model predictive control for nonlinear system subject to actuator saturation

XU Li，LIU Fei

Key Laboratory of Advanced Process Control for Light Industry（Ministry of Education），Institute of Automation，Jiangnan University，Wuxi，Jiangsu 214122，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-11-01 Published:2011-11-01

饱和非线性时滞系统约束预测控制

徐莉，刘飞

江南大学轻工过程先进控制教育部重点实验室，江苏无锡 214122

Abstract

Abstract: Aiming at a class of discrete-time nonlinear systems subject to actuator saturation and output constraint，a novel fuzzy predictive control method is proposed in this paper.Firstly，the approximation of a practical nonlinear system is realized by utilizing the T-S fuzzy model.Then，the above system is further converted into convex combinations of a series of linear subsystems by Parallel Distributed Compensation（PDC） scheme.Secondly，a state feedback predictive controller is obtained by optimizing an infinite time “min-max” performance index at each sampling instant.A sufficient condition for the Lyapunov asymptotical stability is obtained and it is further transformed into positive Semi-definite Programming（SDP） which can be easily solved by means of Linear Matrix Inequality（LMI）.Finally，the availability and feasibility of the proposed method are both verified by specific numerical examples，respectively.

Key words: discrete-time nonlinear systems, time-delay, T-S fuzzy model, actuator saturation, output constraint

摘要： 针对一类具有执行器饱和与输出约束的离散非线性时滞系统，提出新的模糊预测控制方法。首先，采用T-S模糊模型来逼近实际非线性系统，运用平行分步补偿（PDC）原理将该系统转化为一系列线性系统的凸组合。其次，通过每个采样时刻优化无穷时域的“min-max”性能指标来求解状态反馈预测控制器，得到系统满足Lyapunov渐近稳定的充分条件，并进一步将该条件转化为基于线性矩阵不等式（LMI）技术的半正定规划（SDP）问题。最后，通过数值仿真验证该方法的有效性。

关键词: 离散非线性系统, 时滞, T-S模糊模型, 执行器饱和, 输出约束

XU Li，LIU Fei. Constrained model predictive control for nonlinear system subject to actuator saturation[J]. Computer Engineering and Applications, 2011, 47(31): 245-248.

徐莉，刘飞. 饱和非线性时滞系统约束预测控制[J]. 计算机工程与应用, 2011, 47(31): 245-248.

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Constrained model predictive control for nonlinear system subject to actuator saturation

饱和非线性时滞系统约束预测控制

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