一类非线性时滞系统的模糊预测控制

利用模糊T-S模型对一类输入受限的非线性时滞系统进行建模;在此基础上,提出了模糊预测控制,推导了预测性能指标上界,将稳定性约束,输入约束变换成容易求解的线性矩阵不等式形式。采用了并行分布补偿预测控制器,基于李雅普诺夫函数和线性矩阵不等式方法给出滚动时域优化的充分条件,证明了闭环系统的稳定性,仿真结果验证了所提方法的有效性。

Fuzzy Model Predictive Control for a Class of Nonlinear Time-delay Systems

The problem of fuzzy modeling for a class of nonlinear time-delay systems with constraint inputs by fuzzy T-S model is addressed. On the basis of the fuzzy modeling, a fuzzy model predictive control scheme is proposed. The upper bound of predictive cost is derived, constraints on stability and inputs are transformed into linear matrix inequalities (LMI) which are easy to solve. The predictive controller is parallel distributed compensation (PDC) controller in the scheme. Sufficient conditions of moving horizon optimization are derived based on LMI and Lyapunov funciton, stability of closed-loop systems is proved .The simulation results verify the effectiveness of the proposed method.