ABSTRACT

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.

摘要

本文通过哈密顿函数方法研究了一类一般非线性时滞系统的基于观测器的有限时间鲁棒控制问题，并提出了一些新的有限时间鲁棒镇定结果。首先，本文应用哈密顿量实现方法，发展了原系统的等价哈密顿量形式。然后，基于等效的哈密顿形式，我们设计了相应的观测器系统，研究了基于观测器的有限时间鲁棒镇定问题，通过构造一些合适的Lyapunov泛函，给出了一些新的基于观测器的鲁棒镇定结果。最后，对一个说明性例子的研究表明，本文获得的结果在基于观测器的有限时间鲁棒镇定系统中运行良好。