Synthesis of Interval Observers for Bounded Jacobian Nonlinear Discrete-Time Systems
Synthesis of Interval Observers for Bounded Jacobian Nonlinear Discrete-Time Systems
复制标题
有界雅可比非线性离散时间系统区间观测器的综合
DOI：
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发表时间：
2021
影响因子：
3
通讯作者：
Behçet Açikmese
中科院分区：
文献类型：
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作者：
Adam M. Tahir;Behçet Açikmese
提出了一种综合非线性离散系统区间观测器的系统方法。通过求解半确定的可行性方案，得到反馈增益和其他矩阵。考虑两种情况：(1)区间观测器与给定系统处于同一坐标系；(2)区间观测器使用坐标变换。数值算例表明了区间观测器的有效性，并说明了它在采样数据系统中的应用。
A systematic procedure to synthesize interval observers for nonlinear discrete-time systems is proposed. The feedback gains and other matrices are found by solving semidefinite feasibility programs. Two cases are considered: (1) the interval observer is in the same coordinate frame as the given system, and (2) the interval observer uses a coordinate transformation. Numerical examples are provided to showcase the effectiveness of the interval observers and show an application to sampled-data systems.