一类离散非线性不确定互联系统的模糊分散控制

利用模糊控制方法研究一类离散非线性互联系统的分散控制问题.首先采用模糊(T-S)模型对离散非线性不确定互联系统进行模糊建模,应用并行分布补偿算法(PDC)给出状态反馈分散模糊控制方案,并基于李亚普诺夫函数方法证明了闭环系统的稳定性.然后当系统的状态不完全可测时,设计模糊分散观测器来估计各子系统的状态,从而给出基于观测器的状态反馈分散模糊控制设计的方法.因为该分散模糊控制设计问题是以线性矩阵不等式的形式给出,所以很容易用凸优化方法求解.仿真结果验证了所提出控制方法的有效性.

Decentralized fuzzy robust control for nonlinear uncertain interconnected systems

The decentralized control problem is studied for a class of discrete nonlinear interconnected systems via fuzzy control method. The nonlinear interconnected system is represented by an equivalent Takagi-Sugeno type mode. A state feedback decentralized fuzzy control scheme is developed by the parallel distributed compensation algorithm. The stability of nonlinear interconnected systems is proved. In the case that states are not all available, a decentralized fuzzy observer is proposed to estimate the states of each subsystem for decentralized control. Consequently, a fuzzy observer-based state feedback decentralized fuzzy controller is proposed. The problem of decentralized fuzzy control design for nonlinear interconnected systems is formulated in the format of linear matrix inequalities and solved very efficiently using convex optimization techniques. Finally, simulation examples show the effectiveness of the proposed methods.