一类不确定线性时滞系统的保性能研究

利用Lyapunov稳定性理论，研究具有状态时滞的线性不确定系统的保性能控制问题，考虑传感器传输时滞和采样周期的影响，在不确定性难以满足一般保性能控制的范数有界的条件下，通过系统性能指标局部优化的方法，由局部保性能指标上界确定系统整体保性能指标的上界，在时滞有界和采样周期内状态参数阵不变的条件下，通过求解Riccati微分方程得到局部优化控制律，数值仿真表明了该方法的有效性和可行性。

Study on the Guaranteed Cost Control for a Class of Uncertain Time-delay Systems

The problem of guaranteed cost control for uncertain state time-delay systems is studied based on Lyapunov stability theory. Since the delay of sensor and the periods of sampling often make the uncertain state matrix not satisfy the matrix-decomposing condition, the partly guaranteed cost target is presented by applying the state space and decomposing methods, so the whole performance target is obtained. With the bounded delay condition and the invariance of parameter matrix in sampling periods, a design approach of a state feedback controller for optimizing the part performance is proposed by solving Riccati differential equation. Finally, the simulation example shows the validity and the applicability of the proposed approach.