不确定广义变时滞系统输出反馈H_∞控制

考虑一类状态和输入同时具有变时滞的不确定性广义时滞系统输出反馈H∞控制器设计问题·不确定性假设是非线性的但范数有界,在适当的假设下利用线性矩阵不等式方法和Lyapunov函数方法相结合,给出了广义时滞系统动态输出反馈鲁棒H∞控制器的设计方法和存在的充分条件·该控制器的设计使得在满足一定的条件下对所有的不确定性,闭环系统是容许的(正则、稳定、无脉冲)且从扰动到控制输出的传递函数的H∞范数是不超过某个确定的上界,所得结论可化为标准的LMIs求解,并可推广到多时滞情况·算例验证了设计方法的有效性·

Robust Dynamic Output Feedback H∞ Control of Singular Systems with Varying-Delays and Nonlinear Parameter Uncertainty

The design of robust dynamic output feedback robust H∞ controller for a class of singular systems with varying state-delay, input-delay and nonlinear parameter uncertainty is considered. The parameter uncertainties are assumed nonlinear and norm bounded. Combining the linear matrix inequality with Lyapunov function on suitable conditions, the design method and existent sufficient conditions are given to a robust dynamic output feedback controller by which the time-delay singular closed-loop system is admissible, i.e., regular, stable and impulse-free, and the transfer function from exogenous disturbance to output satisfies a prescribed H∞ performance index for the given parameter uncertainty. Furthermore, it is shown that the robust dynamic output feedback controller can be constructed in terms of the feasible solutions to a certain linear-matrix inequalities and extended to the cases involving multiple time-varying delays. An example is given to illustrate the effectiveness of the proposed method.