一类中立型时滞系统的时滞依赖保性能控制

Delay-Dependent Guaranteed Cost Control for a Class of Neutral Time-Delay Systems

研究了一类含有不确定参数和非线性扰动的中立型时滞系统的时滞依赖保性能控制问题,所设计的控制器对于所允许的的参数不确定性和时滞,能保证闭环系统渐近稳定且闭环的性能函数值不超过给定上界.最后通过解优化问题得到性能指标的最小上界.数值例子证明了所设计控制器的有效性和较小保守性.

This paper considers the guaranteed cost control problem for a class of neutral time-delay systems with uncertain parameters and nonlinear disturbances. For all admissible parameter uncertainties and delays, the designed controller can guaranteed that the closed-loop system is asymptotically stable and closed-loop cost function value is not more than a given upper bound. Finally, we obtain a minimized upper bound by solving an optimization problem. A numerical example verifies the effectiveness and less conservativeness of the designed controller.