This paper focuses on the output to state description-based convergent fault tolerant control (FTC) for a class of linear time invariant (LTI) systems. An output to state description theorem is proposed, by which, an adaptive output feedback FTC with a function equation constraint is designed for the LTI system in consideration. A controller reconfiguration algorithm is proposed to solve the constraint and construct an approximate controller that can compensate effectively the fault effect on systems. Furthermore, in certain conditions, the output feedback control gains can be determined by the state feedback control gains. A linear longitudinal dynamics of an aircraft and a linearised dynamic model of a vertical takeoff and landing (VTOL) aircraft in the vertical plane are applied to illustrate the effectiveness and merits of the proposed method.

本文重点研究一类线性时不变 (LTI) 系统的基于状态描述的收敛容错控制 (FTC) 的输出。提出了输出到状态描述定理，针对LTI系统设计了一个具有函数方程约束的自适应输出反馈FTC。提出了一种控制器重构算法来解决该约束并构造一个能够有效补偿系统故障影响的近似控制器。此外，在某些情况下，输出反馈控制增益可以由状态反馈控制增益决定。应用飞机的线性纵向动力学和垂直起降（VTOL）飞机在垂直平面上的线性化动力学模型来说明所提出方法的有效性和优点。