一类不确定动态时滞系统的无记忆鲁棒镇定控制
Memoryless Robust Stabilization of a Class of Uncertain Linear Time-Delay Systems
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摘要: 针对状态和控制均存在滞后,同时具有未知且有界的一类时变不确定线性时滞系 统,提出了一种无记忆鲁棒镇定控制器设计算法.给出了闭环系统二次稳定的充分条件,并利 用一等价线性时不变系统的H∞标准问题综合方法来构造出所需的线性状态反馈控制律,即 可通过求解一代数Riccati型方程来求得控制律静态增益阵,从而保证了解的存在性和可解 性.Abstract: This paper presents a controller for robust stabilization of a class of uncertain linear dynamic systems with time-delays in both state and control. The uncertain systems under consideration are described by state differential equations which depend on time-varying unknown -but-bounded uncertain parameters, The sufficient conditions for quadratic stability of closed-loop systems are derived. The desired linear state feedback control law can be constructed by synthesis of an H~ standard problem of equivalent linear time-invariant systems, that is to say, the static controller gain can be obtained by solving an algebraic Riccati equation , and thus the existence and feasibility of solution can be ensured.
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