In this paper we propose a new state observer design technique for nonlinear systems. It consists of an extension of the recently introduced parameter estimation-based observer, which is applicable for systems verifying a particular algebraic constraint. In contrast to the previous observer, the new one avoids the need of implementing an open loop integration that may stymie its practical application. We give two versions of this observer, one that ensures asymptotic convergence and the second one that achieves convergence in finite time. In both cases, the required excitation conditions are strictly weaker than the classical persistent of excitation assumption. It is shown that the proposed technique is applicable to the practically important examples of multimachine power systems and chemical–biological reactors.

在本文中，我们提出了一种用于非线性系统的新状态观测器设计技术。它由最近引入的基于参数估计的观察器的扩展组成，该观察器适用于验证特定代数约束的系统。与以前的观察者相比，新观察者避免了实施可能阻碍其实际应用的开环集成的需求。我们给出了该观测器的两个版本，一个用于确保渐近收敛，另一个用于在有限时间内实现收敛。在这两种情况下，所需的激励条件都比经典的激励假设持久性弱。结果表明，所提出的技术适用于多机动力系统和化学生物反应器的重要实例。