Global robust finite‐time stabilisation of unknown pure‐feedback systems with input dead‐zone non‐linearity

This study is concerned with the problem of global robust finite‐time stabilisation of a class of unknown pure‐feedback systems with input dead‐zone non‐linearities. The pure‐feedback non‐linear system under consideration has a pseudo‐affine property and is with non‐linearly parameterised uncertainties. By adopting and improving the existing finite‐time backstepping control approach, a robust finite‐time stabiliser is given, which could ensure the global finite‐time stability of the trivial solution of resulting closed‐loop system. A numerical and a realistic examples are employed to demonstrate the effectiveness of the proposed method.