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Riccati equation

About: Riccati equation is a research topic. Over the lifetime, 10428 publications have been published within this topic receiving 210015 citations. The topic is also known as: Riccati's differential equation.


Papers
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Journal ArticleDOI
TL;DR: This paper formulate linear quadratic differential games in which robustness is attained against model uncertainty in infinite-horizon soft-constrained stochastic Nash games involving state-dependent noise in weakly coupled large-scale systems.

58 citations

Journal ArticleDOI
TL;DR: In this article, a finite-dimensional state-space representation is obtained where the states are the transverse displacements of the array from linearity in either the horizontal or vertical plane.
Abstract: The dynamical behavior of a thin flexible array towed through the water is described by the Paidoussis equation. By discretizing this equation in space and time a finite-dimensional state-space representation is obtained where the states are the transverse displacements of the array from linearity in either the horizontal or vertical plane. The form of the transition matrix in the state-space representation describes the propagation of transverse displacements down the array. The outputs of depth sensors and compasses located along the array are shown to be related in a simple, linear manner to the states. From this state-space representation a Kalman filter which recursively estimates the transverse displacements and hence the array shape is derived. It is shown how the properties of the Kalman filter reflect the physics of the propagation of motion down the array. Solutions of the Riccati equation are used to predict the mean square error of the Kalman filter estimates of the transverse displacements. >

58 citations

Proceedings ArticleDOI
04 Jun 1997
TL;DR: In this paper, the use of nonlinear regulation for attitude control of a satellite controlled by internal momentum rotors was examined under numerical simulations, using the nonlinear method using the state dependent Riccati equation (SDRE) developed by Cloutier, D'Souza, and Mracek.
Abstract: Examines the use of nonlinear regulation for attitude control of a satellite controlled by internal momentum rotors. Specifically, the nonlinear method using the state dependent Riccati equation (SDRE) developed by Cloutier, D'Souza, and Mracek (1996) is applied and examined under numerical simulations.

58 citations

Journal ArticleDOI
TL;DR: This note obtains a parameterization of the set of all stabilizing controllers of order less than or equal to the plant, which yields for the closed-loop transfer matrix a specified H/sub /spl infin norm bound.
Abstract: This note obtains a parameterization of the set of all stabilizing controllers of order less than or equal to the plant, which yields for the closed-loop transfer matrix a specified H/sub /spl infin norm bound. The algebraic results of covariance control are applied to the H/sub /spl infin control problem to yield a parameterization in terms of the Lyapunov matrix, which carries many system properties (such as H/sub 2/ performance, covariance bounds, system entropy at infinity, etc.). All low-order H/sub /spl infin controllers are shown to have observer-based structure for "reduced-order models" of the plant and are characterized by two Riccati equations with a coupling condition. >

58 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023153
2022335
2021203
2020240
2019223
2018231