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研究一类广义扩展大系统的分散有限时间鲁棒关联镇定问题。建立了扩展广义大系统的数学模型,利用稳定性理论和线性矩阵不等式方法推导了扩展后大系统基于状态反馈和动态输出反馈的分散有限时间关联镇定的充分条件,在不改变原广义大系统分散控制律的基础上给出了满足条件的新加入子系统的鲁棒分散关联镇定控制器设计方法。采用一个广义互联系统数值算例对提出的设计方法进行了仿真研究,结果显示扩展系统可以被有限时间关联镇定,从而验证了该方法的可行性和有效性。
We study the decentralized finite-time robust association stabilization problem for a class of generalized extended large-scale systems. The mathematic model of extended generalized large-scale system is established. The sufficient conditions for the decentralized finite time-dependent stabilization of extended large-scale systems based on state feedback and dynamic output feedback are derived by means of stability theory and linear matrix inequality. Without changing the decentralized Based on the control law, a robust decentralized association and stabilization controller design method for the newly added subsystem satisfying the conditions is given. A numerical example of a generalized interconnected system is used to simulate the proposed design method. The results show that the extended system can be stabilized by a finite time-dependent approach, which verifies the feasibility and effectiveness of the proposed method.