带不确定时滞的中立型系统之鲁棒非脆弱保性能控制

针对一类动态不确定时滞中立型系统,研究了非脆弱鲁棒保性能控制器设计问题.考虑的中立型系统和状态反馈控制器均具有不确定性.在适当的假设下利用Lyapunov稳定性方法,以线性矩阵不等式的形式,给出了使该动态时滞不确定中立型系统二次稳定及非脆弱鲁棒保性能状态反馈控制器存在的充分条件.通过求解相应的线性矩阵不等式就可得到系统的非脆弱鲁棒保性能控制器,同时也能保证二次性能函数不超过一个确定的界.最后,用数值仿真验证了所给方法的可行性.

Robust non-fragile guaranteed-cost control for neutral systems with uncertain delay

The robust non-fragile guaranteed-cost controller design for dynamic uncertain neutral systems with timedelay is considered. Both neutral systems and the state feedback controller are assumed to have the uncertainties. Based on the proper Lyapunov functions and linear matrix inequality, a sufficient condition is established to assure the neutral systems of quadratic stability and the existence of a robust non-fragile controller, with LMI depending on the size of the delay. By solving the corresponding linear matrix inequality, we obtain the robust non-fragile guaranteed-cost controller which can keep the quadratic performance function to stay in a given limit. Finally, a numerical simulation example is presented to illustrate the feasibility of this approach.