Observer-based finite-time robust control of nonlinear time-delay systems via Hamiltonian function method

This paper investigates the observer-based finite-time robust control problem of a general class of nonlinear time-delay systems via Hamiltonian function method, and proposes some new finite-time robust stabilisation results. First, by applying Hamiltonian realisation method, the paper develops an equivalent Hamiltonian form of original system. Then, based on the equivalent Hamiltonian form, we design the corresponding observer system, study the observer-based finite-time robust stabilisation problem and present some new observer-based robust stabilisation results by constructing some suitable Lyapunov functionals. Finally, the study of an illustrative example shows that the results obtained of the paper work well in the observer-based finite-time robust stabilisation the system.