The HJB Approach and State Estimation for Control Systems with Uncertainty <ce:cross-ref refid='fn1'> <ce:sup loc='post'>?</ce:sup> </ce:cross-ref>

Tatiana F. Filippova

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The HJB Approach and State Estimation for Control Systems with Uncertainty ?

机译：具有不确定性的控制系统的HJB方法和状态估计？

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This paper deals with the comparison principle for the first-order ODEs of the Hamilton - Jacobi - Bellman (HJB) type which describe solutions of the dynamical control system with a special structure, with combined nonlinearity of quadratic and bilinear kinds and with uncertainty in initial states and in system parameters. The uncertainty studied here is of set-membership type when only the bounding set for unknown items is given. The ellipsoidal estimates of reachable sets are derived using the special structure of studied control system. The techniques of generalized solutions of Hamilton - Jacobi - Bellman inequalities together with previously established results of ellipsoidal calculus are applied to find the external set-valued estimates of reachable sets as the level sets of a related cost functional.

机译：本文讨论了Hamilton-Jacobi-Bellman（HJB）型一阶ODE的比较原理，该原理描述了具有特殊结构，具有二次和双线性组合非线性和初始不确定性的动态控制系统的解。状态和系统参数中。当仅给出未知项目的边界集时，此处研究的不确定性属于集合成员类型。利用研究的控制系统的特殊结构，得出可达集的椭圆估计。汉密尔顿-雅各比-贝尔曼不等式的广义解技术以及先前建立的椭圆演算的结果被用于找到可到达集合的外部集合值估计，作为相关成本函数的水平集合。

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来源
《IFAC PapersOnLine》 |2018年第13期|共6页
作者
Tatiana F. Filippova;
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正文语种
中图分类自动化技术、计算机技术;
关键词
Control problemsUncertaintyNonlinearityEstimationReachable sets;

机译：控制问题不确定性非线性估计可到达集合;

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The HJB Approach and State Estimation for Control Systems with Uncertainty ?

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