The present work focuses on the design of an interval multiobserver for nonlinear systems with internal and external disturbances. The structure of the developed interval multiobserver is based on a discrete uncoupled multimodel. The used multimodel is known for its flexibility in the modeling step, since the state variables of the partial models can evolve in state spaces with different dimensions. Sufficient stability conditions are formulated in terms of linear matrix inequalities (LMIs), and nonnegativity constraints are imposed to ensure the cooperativity dynamic of the observation errors. A numerical example and an experimental validation on an esterification reactor are given to prove the significance of the proposed interval multiobserver.

目前的工作重点是为具有内部和外部扰动的非线性系统设计区间多观测器。开发的区间多观测器的结构基于离散的非耦合多模型。所使用的多模型以其在建模步骤中的灵活性而闻名，因为部分模型的状态变量可以在具有不同维度的状态空间中演变。根据线性矩阵不等式（LMI）制定了足够的稳定性条件，并施加了非负约束以确保观测误差的协同动态。给出了一个酯化反应器的数值例子和实验验证，以证明所提出的区间多观察器的重要性。