The paper provides extended methods for control linear positive discrete-time systems that are subject to parameter uncertainties, reflecting structural system parameter constraints and positive system properties when solving the problem of system quadratic stability. By using an extension of the Lyapunov approach, system quadratic stability is presented to become apparent in pre-existing positivity constraints in the design of feedback control. The approach prefers constraints representation in the form of linear matrix inequalities, reflects the diagonal stabilization principle in order to apply to positive systems the idea of matrix parameter positivity, applies observer-based linear state control to assert closed-loop system quadratic stability and projects design conditions, allowing minimization of an undesirable impact on matching parameter uncertainties. The method is utilised in numerical examples to illustrate the technique when applying the above strategy.

中文翻译：

---

线性不确定正离散时间系统的二次稳定

本文提供了控制受参数不确定性影响的线性正离散时间系统的扩展方法，在解决系统二次稳定性问题时反映了结构系统参数约束和正系统特性。通过使用 Lyapunov 方法的扩展，系统二次稳定性在反馈控制设计中预先存在的正约束中变得明显。该方法更喜欢以线性矩阵不等式形式的约束表示，反映对角稳定原理以将矩阵参数为正的思想应用于正系统，应用基于观测器的线性状态控制来断言闭环系统二次稳定性和项目设计状况，允许最小化对匹配参数不确定性的不良影响。该方法在数值例子中被用来说明应用上述策略时的技术。