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Observer Design for Positive Uncertain Discrete-time Lipschitz Systems

机译:阳性不确定离散时间Lipschitz系统的观察者设计

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For positive uncertain discrete-time Lipschitz systems this paper proposes a way to reflect matched uncertainties, structural system parameter constraints, positiveness and Lipschitz continuity in solving the problem of the state observer quadratic stability. The design conditions are proposed in the set of linear matrix inequalities to guarantee the observer strict positiveness, system parameter constraint representation and estimation error bounding in terms of achieved quadratic stability and nonnegative feedback gain matrix. It follows from the results obtained that the impact of nonnegative system matrix structures can be reflected in uncertainty matching problems. A numerical example is included to assess the feasibility of the technique and its applicability.
机译:对于正不确定的离散时间LipsChitz系统,本文提出了一种反映匹配的不确定性,结构系统参数约束,阳性和嘴唇尖端连续性的方法,在解决国家观察者二次稳定性问题时。 在线性矩阵不等式中提出了设计条件,以保证观察者严格的阳性,系统参数约束表示和估计误差限制在实现的二次稳定性和非负反馈增益矩阵方面。 从结果所获得的结果,非负系统矩阵结构的影响可以反映在不确定性匹配问题中。 包括一个数值例子以评估技术的可行性及其适用性。

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