Unknown Input Observer Design for One-Sided Lipschitz Nonlinear Continuous-Time Singular Markovian Jump Systems

摘要

In this paper, the full-order unknown input observer (UIO) design problem for one-sided Lipschitz nonlinear continuous-time singular Markovian jump systems is investigated. First, with the assumption of one-sided Lipschitz condition and quadratic inner-bounded condition, a sufficient condition is established, which guarantees the error dynamic system is stochastically stable. By using the matrix generalized inverse approach, a linear matrix inequality (LMI) condition is developed such that the full-order UIO exists. Then, the design procedures of the full-order UIO are given based on LMI approach. Last, a numerical example is provided to illustrate the effectiveness of the proposed design methods.