研究Delta算子描述的不确定线性系统闭环极点有圆形区域约束的鲁棒控制,基于Lyapunov稳定性理论和线性矩阵不等式(LMI)方法,对Delta算子不确定系统进行状态反馈设计,导出满足闭环极点圆形区域约束的状态反馈控制律存在的充分条件,用一个线性矩阵不等式的可行解给出了状态反馈控制律的参数化表示,具体算例说明了该方法的有效性。
Robust control of Delta operator uncertain system and its closed-pole with circular region constraint are studied. Based on Lyapunov stability theory and LMI method, the state feedback for Delta operator uncertain system is designed. Sufficiency condition of state feedback control law is derived. The solution of LMI provides a parameterized representation of the control law. A numeric example is given to demonstrate the effectiveness of the method.