Optimal Fuzzy Multi-model Switched Control Method Based on T-S Model
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摘要: 针对传统控制方法鲁棒性不强以及配置极点复杂的问题,本文中提出了一种基于T-S模型的最优模糊多模型切换控制方法,将T-S模型、线性二次型最优控制器设计以及多模型切换控制三者结合起来。该方法首先对每个T-S模糊模型的线性子系统设计LQR控制器,再把每个控制器乘以其权重求和得到全局LQR控制器,满足线性二次型性能指标最小的条件下,获得状态反馈矩阵,即提高了系统的鲁棒性,且避免了配置极点的复杂工作。在模糊规则数相同的情况下,多模型切换由于模糊论域的变小而提高了线性逼近精度,实现对整体非线性系统的逼近与控制。仿真实验结果验证了这种方法的有效性。
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关键词:
- T-S模型 /
- 最优控制 /
- 多模型切换 /
- 线性二次型最优控制器
Abstract: To solve the problem that the traditional control methods have strong robustness and pole assignment com-plexity, we propose the optimal fuzzy multi-model switched control method based on the T-S optimal fuzzy model we have designed. First, we design the linear quadratic optimal controller for each linear subsystem of the T-S fuzzy model and combine it with the multi-model switched control method. Then, each controller is multiplied by its weight to obtain the global linear quadratic optimal controller. We obtain the state feedback matrix of the linear quadratic op-timal controller when the index of the linear quadratic performance is the smallest, thus improving its robustness and avoiding the pole assignment complexity. In case of the same number of fuzzy rules, our optimal fuzzy multi-model switched control method decreases the fuzzy domain and thus enhances the linear approximation accuracy. The effec-tiveness of our control method is verified with simulation results.-
Key words:
- controllers /
- state feedback /
- computer simulation /
- design
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