Interval Estimation for Time-Varying Descriptor Systems via Simultaneous Optimizations of Multiple Interval Widths
针对离散时间线性时变描述符系统，提出一种基于zonotope的区间估计方法，通过并行L1优化同时最小化每个状态分量的估计区间宽度，仿真验证了其有效性和更高精度。
This article investigates the state interval estimation problem for discrete-time linear time-varying descriptor systems subject to unknown but bounded system uncertainties. We propose a zonotope-based interval estimation method in an optimization framework. First, we present a novel zonotope-based interval estimator structure, in which the estimated interval bounds of each state component have design parameters independent of those of the other state components. Then, the widths of the jointly estimated intervals enclosing every state component are simultaneously minimized by solving parallel <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$L_{1}$</tex-math> </inline-formula> optimization problems via linear programming. Finally, a simulation study shows the effectiveness and higher accuracy of the proposed method compared with existing methods.