T-S模糊系统的D-域性能约束鲁棒输出反馈控制

Robust output feedback control of T-S fuzzy systems with D-region performance constraint

研究了一类具有输入及输出端扰动的T-S模糊系统在性能约束下的鲁棒控制问题.在D域内定义非线性系统性能指标的条件下,基于线性矩阵不等式技术提出了鲁棒输出反馈控制器存在的充分条件,保证闭环系统具有一定的稳态和动态性能.该方法利用投射引理分离耦合变量,通过引入附加矩阵增加自由度,降低结论的保守性.F-16歼击机纵向通道的控制仿真结果表明了方法的有效性.

The problem of robust control with performance constraint for a class of T-S fuzzy systems with disturbances in the inputs and outputs is discussed. On condition that the performance indices of nonlinear systems are defined in the D-region, the sufficient conditions for the existence of the robust output feedback controllers are derived in terms of the linear matrix inequalities, so that the closed-loop systems can maintain some steady and dynamic performances. The coupled variables are separated according to the projection lemma in this method, which contributes the extra degree of the freedom by introducing the additional matrix, and therefore the conservativeness of the conclusion is reduced. The simulation for longitude control of F-16 fighter flight system shows the effectiveness of the proposed method.