中文摘要：

针对一类具有范数有界参数不确定性的连续模糊双线性系统,提出了一种求解其鲁棒控制器的新方法。首先,基于T-S模糊模型对模糊双线性系统建模,采用并行分布补偿算法设计模糊控制器。结合Lyapunov稳定性理论,得到了闭环模糊双线性系统全局稳定的充分条件。然后,基于一种改进的锥补线性化算法的思想,将模糊控制器的设计转化成为一个受线性矩阵不等式约束的最小化问题。最后的仿真结果验证了设计方法的有效性。

英文摘要：

For a class of continuous-time fuzzy bilinear systems with norm-bounded and parametric uncertainties,a new approach for the robust controller design is presented.First,the T-S fuzzy models are employed to approximate the fuzzy bilinear systems,the parallel distributed compensation approach is utilized to design fuzzy controller.A sufficient condition is derived for the global stability of the closed-loop fuzzy bilinear systems based on the Lyapunov stability theory.Then,by using the improved cone complementarity linearization methods,the controller design is converted into a minimum problem with linear matrix inequality constraints.Finally,the simulation results demonstrate the effectiveness of the design procedure.