基于LMI的输出反馈鲁棒完整性控制器设计

Design of output feedback controller with robust integrity based on LMI approach

完整性是容错控制的一个重要研究方向,不确定系统的鲁棒完整性研究具有很强的实际意义.本文基于[0,σ]故障模型和线性矩阵不等式(LMI)方法,提出了参数不确定系统的输出反馈鲁棒完整性控制器存在的充分条件,通过求解两个矩阵不等式获得控制器,使闭环系统在传感器发生故障时仍然保持二次稳定,并对参数不确定性具有鲁棒性.数值示例说明了该方法的有效性.

Integrity is an important research orientation of fault-tolerant control, and the study of robust integrity of systems with parameter uncertainties is of great significance in practice. In this paper, sufficient conditions for output feedback systems with robust integrity based on a [0, σ ] model of failure and LMI approach are proposed. Dynamic output feedback controllers, which maintain the quadratic stability of closed-loop systems with parameter ancertainties and sensor failures,can be obtained by solving two matrix inequalities. The effectiveness of this method is demonstrated with a numerical example.