区间矩阵系统的保低成本鲁棒容错控制

为了使区间矩阵容错控制系统具有鲁棒稳定性，且具有低保守性，提出了确定实对称阵集合最小上界的方法．利用最小上界及矩阵Riccati方程，给出了系统矩阵和输入矩阵均合有不确定性时，区间矩阵系统有限时间及无限时间保低成本鲁棒容错控制器设计方法．该设计方法把确定多个Riccati不等式共同解的复杂问题简化为求解单一Riccati方程，所得到的鲁棒容错控制器可使系统具有低成本保证值，方法简便易行．文中具体算例表明了该方法的有效性．

Robust lower guaranteed cost fault tolerant control for interval matrix systems

To obtain robust stability and lower guaranteed cost of interval matrix fault tolerant systems, a method of determining the minimum upper bound of the real symmetric matrix set is proposed. Using minimum upper bound and matrix Riccati equation, a robust lower guaranteed cost fault tolerant controller is designed for interval matrix systems with performance index in a finite or infinite time interval. The systems under consideration have uncertainties both in system matrix and input matrix. Using the design method proposed in this paper, the complex problem of determining the solution of matrix inequalities is simplified to that of solving single Riccati equation. The robust fault tolerant controller, which is uncomplicated and convenient to use, makes the systems have lower guaranteed cost over all admissible uncertainties. An illustrative example is given to demonstrate the effectiveness of the design method proposed in this paper.