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研究了一类具有动态干扰的非线性广义系统的有限时间模糊控制问题。给出了模糊有限时间控制器的可解条件以保证闭环系统无脉冲、有限时间有界。所提出方法能消除广义系统的脉冲行为,同时使系统状态在有限时间内保持在预先设定的界内。通过构造一个非奇异矩阵,克服产生不可行矩阵不定式的困难;通过矩阵分解,解决了广义系统自身特征引起的不严格矩阵不等式的问题。结合LMI工具箱的FEASP求解器和GEVP求解器编程仿真,验证了所提出方法的可行性、有效性和简便性。体现了T-S模糊控制方法在研究一类非线性广义系统有限时间控制问题中的应用。就有限时间控制器设计而言,方法简便且易于理解。
A finite-time fuzzy control problem for a class of nonlinear singular systems with dynamic disturbances is studied. The solvable condition of the fuzzy finite-time controller is given to ensure that there is no pulse in the closed-loop system and finite time is bounded. The proposed method can eliminate the impulsive behavior of a generalized system while keeping the state of the system within a predetermined bound for a limited time. By constructing a non-singular matrix, we can overcome the difficulty of generating infinitive matrixes of infeasible matrices. By matrix decomposition, we solve the problem of non-strict matrix inequalities caused by the characteristics of singular systems. Combined with LMI toolbox FEASP solver and GEVP solver programming simulation, the feasibility, effectiveness and simplicity of the proposed method are verified. It shows the application of T-S fuzzy control method in the research of finite time control of a class of nonlinear singular systems. For a finite-time controller design, the method is simple and easy to understand.