The actual engineering control systems are nonlinear [1-2] and uncertainty [3-4] at the same time, so the robustness and fault diagnosis of systems are more meaningful [5-6]. Sometimes the system is with switching characteristics, which makes the study of switched systems more meaningful. As one of the nonlinear systems, switched systems exist in the practical systems widely, and the phenomenon of delay exists in industrial control nature, or in the life of people widely [7-8]. So the fault diagnosis research [11-12] of nonlinear switched systems with time-delay [9-10] has attracted the attention of many scholars. Motivated with the above issues, the general form of a class of switched systems with time-delay is described in detail, which also mentioned lemma 1 (Schur complement lemma) and lemma 2, the two lemmas will be applied to the proof process of the conclusion. The core part is observer design for time-delay systems fault, which puts forward the uniformly bounded stable condition of fault estimation error system expressed as the linear matrix inequality, and Lyapunov stability is applied to the strict proof. At last, the simulation of MATLAB in a numerical example proved the validity of the conclusion.
Interval observer design method for asynchronous switched systems
