这份报纸为连续时间的 T-S 模糊系统的一个类集中于模糊控制的问题。稳定设计和 H 无穷控制的新方法基于两模糊 Lyapunov 功能和楼梯会员功能在被使用的一条放松的途径被导出。通过接近的楼梯会员函数,连续会员给定的模糊模型,工作会员函数能被带进模糊系统的设计条件,显著地从而在最近的模糊控制器设计方法减少稳当。不同于途径在文学报导了的某以前的模糊 Lyapunov 功能,稳定和 H 无穷控制的建议设计技术不取决于可以作为保守主义的主要来源被指出是否认为模糊 Lyapunov 功能是分析的会员功能的时间衍生物。而且,为这里给的设计在线性矩阵不平等形式被写的控制器的解决之可能性的条件,然而并非双线性的矩阵不平等,它对更容易被凸的优化技术解决。模拟例子被给表明建议途径的有效性和适用性。
This paper focuses on the problem of fuzzy control for a class of continuous-time T-S fuzzy systems. New methods of stabilization design and H-infinity control are derived based on a relaxed approach in which both fuzzy Lyapunov functions and staircase membership functions are used. Through the staircase membership functions approx- imating the continuous membership functions of the given fuzzy model, the membership functions can be brought into the design conditions of fuzzy systems, thereby significantly reducing the conservativeness in the recent fuzzy controller design methods. Unlike some previous fuzzy Lyapunov function approaches reported in the literatures, the proposed design techniques of stabilization and H-infinity control do not depend on the time-derivative of the membership functions that may be pointed out as the main source of conservatism when considering fuzzy Lyapunov functions analysis. Moreover, conditions for the solvability of the controller design given here are written in the form of linear matrix inequalities, but not bilinear matrix inequalities, which are easier to be solved by convex optimization techniques. Simulation examples are given to demonstrate the validity and applicability of the proposed approaches.