不确定中立型系统输出反馈H_∞控制

考虑一类含有参数不确定性的混合型中立型系统的输出反馈控制器设计问题·不确定性假设是时变的但范数有界,状态时滞是常数·利用线性矩阵不等式方法和Lyapunov函数方法相结合,研究了输出反馈鲁棒控制器的设计问题·目的是设计一个动态输出反馈控制器,使得在满足一定的条件下对所有的参数不确定性,闭环系统是渐近稳定的且从扰动到控制输出的传递函数的范数是不超过某个确定的上界,并给出了动态输出反馈控制器存在的充分条件·所得结论可化为标准的LMIs求解,具有一定的实际意义和可行性·

Dynamic Output-Feedback Robust H∞ Control of Neutral Differential Systems with Parameter Uncertainties

Discusses the design of a dynamic output-feedback robust H∞ controller of a class of neutral differential systems with parameter uncertainties which are assumed real time-varying and norm bounded with constant delay. The problem is to design a dynamic output-feedback control laws so that the closed-loop system is asymptotically stable and the transfer function from exogenous disturbance to output will satisfy a prescribed H∞ performance index for all admissible uncertainties and time delays. Sufficient conditions for the existence of such controllers are derived by way of combining the matrix inequality approach with Lyapunov method. Furthermore, it is shown that the dynamic output-feedback controller can be constructed in terms of the feasible solutions to certain linear-matrix inequalities. The dynamic output-feedback controller derived depends on neither parameter uncertainties nor time delays.