不确定时变时滞组合系统的鲁棒分散控制

研究一类含有时变状态时滞,不确定性满足范数有界条件的不确定组合系统的状态反馈鲁棒分散控制问题·设计出线性无记忆状态反馈分散控制器使受控系统在平衡点处渐近稳定·基于Riccati方程方法,得到了这类不确定时滞组合系统可状态反馈镇定的一个充分条件·通过解一组代数Riccati矩阵方程,即可得到镇定受控系统的状态反馈控制器·由于所得控制器与时滞无关,因此结果可以用于时滞未知的情况·最后给出一个数值例子验证了结果的有效性·

Robust Decentralized Control for Uncertain Interconnected Systems with Time-Varying Delay

A problem of robust decentralized control was investigated for a class of uncertain interconnected system. The systems under consideration were described by a continuous time uncertain model with state time varying delay. The uncertainties of the system are unknown but norm bounded. A type of memoryless linear decentralized controller was developed, this controller renders the closed loop system asymptotically stable. A sufficient condition for the robust state feedback stabilizability of the system was derived based on Riccati matrix equation approach and the robust stabilizing controller can be constructed by solving a set of algebraic Riccati matrix equation. As the proposed state feedback controllers are completely independent of the time delay (which is only assumed to be any nonnegative bounded and continuous function), the obtained results are applicable to dynamical systems without exact knowledge of the delays, i.e. systems with perturbed delays. A numerical example was presented to prove that the method is very effective.