Observability and observer design for switched linear systems
Observability and observer design for switched linear systems
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切换线性系统的可观测性和观测器设计
DOI：
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发表时间：
2016
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影响因子：
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通讯作者：
Scott C. Johnson
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文献类型：
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作者：
Scott C. Johnson
Johnson, Scott C. 博士，普渡大学，2016 年 12 月。切换线性系统的可观测性和观测器设计。主要教授：雷蒙德·德卡洛。混合动力汽车、新/旧建筑中的 HVAC 系统、电力网络等需要安全、稳健的控制，包括切换操作模式以满足环境和性能目标。这种切换系统由一组连续时间动态行为组成，其操作模式序列由底层决策过程驱动。本论文研究了给定输入输出测量（不包括模式序列）的状态和模式重建的可行性条件和方法。本文的应用考虑重型混合动力车辆中使用的永磁同步电机（PMSM）中的绝缘故障。利用切换线性时不变系统的可行性文献，本文介绍了两个额外的可行性结果：1）检测从安全模式到故障模式的切换；2）切换线性时变系统的状态和模式估计。本论文还解决了计算导致观察者不可行（相对于弗罗贝尼乌斯范数）的系统矩阵的最小结构化扰动的鲁棒可观测性问题。该鲁棒性框架足够通用，可以解决相关的鲁棒性问题，包括可控性、稳定性和可检测性。确定可行性后，状态和模式序列的实时观察者重建就成为可能。我们提出了嵌入式移动地平线观察器（EMHO），它将重建重新定位为使用嵌入状态模型的优化，该模型将模式序列估计的范围放宽到连续空间。最佳状态和模式估计最小化相关嵌入状态模型的测量输出和估计输出之间的 L2 范数。必要的
Johnson, Scott C. PhD, Purdue University, December 2016. Observability and Observer Design for Switched Linear Systems. Major Professor: Raymond DeCarlo. Hybrid vehicles, HVAC systems in new/old buildings, power networks, and the like require safe, robust control that includes switching the mode of operation to meet environmental and performance objectives. Such switched systems consist of a set of continuous-time dynamical behaviors whose sequence of operational modes is driven by an underlying decision process. This thesis investigates feasibility conditions and a methodology for state and mode reconstruction given input-output measurements (not including mode sequence). An application herein considers insulation failures in permanent magnet synchronous machines (PMSMs) used in heavy hybrid vehicles. Leveraging the feasibility literature for switched linear time-invariant systems, this thesis introduces two additional feasibility results: 1) detecting switches from safe modes into failure modes and 2) state and mode estimation for switched linear time-varying systems. This thesis also addresses the robust observability problem of computing the smallest structured perturbations to system matrices that causes observer infeasibility (with respect to the Frobenius norm). This robustness framework is sufficiently general to solve related robustness problems including controllability, stabilizability, and detectability. Having established feasibility, real-time observer reconstruction of the state and mode sequence becomes possible. We propose the embedded moving horizon observer (EMHO), which re-poses the reconstruction as an optimization using an embedded state model which relaxes the range of the mode sequence estimates into a continuous space. Optimal state and mode estimates minimize an L2-norm between the measured output and estimated output of the associated embedded state model. Necessary
影响因子：
4.4
作者：
M. Babaali;M. Egerstedt
通讯作者：
M. Babaali;M. Egerstedt