H∞-differential Riccati equations: convergenceproperties and finite escape phenomena

Bolzern P.; Colaneri P.; De Nicolao G.

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H∞-differential Riccati equations: convergenceproperties and finite escape phenomena

机译：H∞微分Riccati方程：收敛性和有限逃逸现象

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The paper studies the transient and asymptotic behavior of the solution of the sign-indefinite differential Riccati equation (DRE) arising in finite-horizon H∞-filtering and control problems. Differently from the sign-definite H∞-DRE, the solution of the H∞-DRE can have finite escape times even for nonnegative initial conditions. Sufficient and necessary conditions for boundedness and convergence are derived in correspondence to a fixed value of the H∞-norm attenuation level γ. Finally, a stepwise γ-switching strategy is devised to guarantee boundedness as well as asymptotic performance

机译：本文研究了在有限水平H∞滤波和控制问题中出现的符号不定微分Riccati方程（DRE）解的瞬态和渐近行为。与正负号H∞-DRE不同，即使对于非负初始条件，H∞-DRE的解也可以具有有限的逸出时间。对应于H∞范数衰减水平γ的固定值，得出有界和收敛的充分必要条件。最后，设计了一种逐步γ切换策略，以保证有界和渐近性能

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来源
《IEEE Transactions on Automatic Control》 |1997年第1期|p.113-118|共6页
作者
Bolzern P.; Colaneri P.; De Nicolao G.;
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正文语种 eng
中图分类自动化系统;
关键词
H∞ control; Riccati equations; differential games; filtering theory; nonlinear differential equations; robust control; H∞-differential Riccati equations; H∞-norm attenuation level; asymptotic performance; boundedness; convergenc;

机译：H∞控制;Riccati方程;微分对策;滤波理论;非线性微分方程;鲁棒控制;H∞-微分Riccati方程;H∞-范数衰减水平;渐近性能;有界性;收敛性;

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1. H/sub /spl infin//-differential Riccati equations: convergence properties and finite escape phenomena [J] . Bolzern P., Colaneri P. IEEE Transactions on Automatic Control . 1997,第1期

机译：H / sub / spl infin //-微分Riccati方程：收敛性和有限逃逸现象
2. RETRACTED ARTICLE: Finite-Horizon Optimal Nonlinear Regulation and Tracking Using Differential State Dependent Riccati Equation [J] . Khamis Ahmed, Naidu D. Subbaram International Journal of Control . 2020,第1a3期

机译：缩回文章：使用差分状态依赖性Riccati方程的有限范围最优非线性调节和跟踪
3. Finite-Horizon Optimal Nonlinear Regulation and Tracking Using Differential State Dependent Riccati Equation (Retraction of 10.1080/00207179.2014.977823, 2001) [J] . Khamis Ahmed, Naidu D. Subbaram International Journal of Control . 2020,第1a3期

机译：有限地平线最优非线性调节和使用差分状态依赖性Riccati方程的跟踪（10.1080 / 00207179.2014.977823,2001）
4. Determination criterion of finite escape phenomena of H{sub}∞-differential Riccati equations [C] . Z. G. Wu, W. X. Zhong Asian-Pacific Congress on Computational Mechanics . 2001

机译：H {Sub}∞差分Riccati方程有限逃生现象的确定标准
5. Min-max game theory and non-standard differential Riccati equations under the singular estimates and an application to the fluid-structure interaction model. [D] . Zhang, Jing. 2012

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6. Dimensional analysis yields the general second-order differential equation underlying many natural phenomena: the mathematical properties of a phenomenon’s data plot then specify a unique differential equation for it [O] . Gordon R Kepner 2014

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7. Sufficiency conditions for finite escape times in systems of quadratic differential equations [O] . W. M. Getz, D. H. Jacobson 2015

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8. The Riccati Integral Equation Arising in Optimal Control of Delay Differential Equations [R] . Kunisch, K. 1980

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H∞-differential Riccati equations: convergenceproperties and finite escape phenomena

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