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State-Dependent Riccati Equation (SDRE) Control: A Survey

IFAC Proceedings Volumes, 2008
Since the mid-90's, State-Dependent Riccati Equation (SDRE) strategies have emerged as general design methods that provide a systematic and effective means of designing nonlinear controllers, observers, and filters. These methods overcome many of the difficulties and shortcomings of existing methodologies, and deliver computationally simple algorithms ...
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State-Dependent Riccati Equation Control For Small Autonomous Helicopters

Journal of Guidance, Control, and Dynamics, 2007
DOI: 10.2514/1.21910 This paper presents a flight control approach based on a state-dependent Riccati equation and its application to autonomous helicopters. For our experiments, we used two different platforms: an XCell-90 small hobby helicopter and a larger vehicle based on the Yamaha R-Max.
Alexander Bogdanov, Eric Wan
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State-Dependent Riccati Equation for Control of Aeroelastic Flutter

Journal of Guidance, Control, and Dynamics, 2003
Feedback control design for suppression of flutter in an aeroelastic system is studied. Feedback control laws based on the state-dependent Riccati equation are derived. Two control laws are studied: one formulation uses an observer to estimate the states after which it uses the estimated states to generate feedback law; the other formulation uses ...
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Parametric enhancement of state-dependent Riccati equation based control

Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997
In the state-dependent Riccati equation (SDRE) method for nonlinear regulation, the nonlinear system is first brought to a linear structure having state-dependent coefficient (SDC) matrices, i.e., x/spl dot/=A(x)x+B(x)u. An SDRE is then solved to obtain a nonlinear controller of the form u=-R/sup -1/(x)B/sup T/(x)P(x)x, where P(x) is the solution of ...
J.R. Cloutier, C.P. Mracek
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On the Solution of Optimal Control Problems using Parameterized State-Dependent Riccati Equations

2020 59th IEEE Conference on Decision and Control (CDC), 2020
This paper introduces a new algorithm for the solution of infinite horizon optimal control problems for inputaffine nonlinear systems based on a parameterization of the solutions of an associated state-dependent Riccati equation. This allows the transformation of the problem into an optimisation problem and allows approximate solutions to be derived ...
Adam Jones, Alessandro Astolfi
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Position and attitude control of a spacecraft using the state-dependent Riccati equation technique

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
Spacecraft which are required to remove space debris or collect disabled satellites must be able to achieve the attitude of the target while being positioned at a desired distance from the target. The six degree of freedom motion of a spacecraft performing rotational and translational maneuvers has nonlinear equations of motion.
Donald T. Stansbery, James R. Cloutier
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A design of servo controller for nonlinear systems using state dependent Riccati equation

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
In this paper, we present a new servo controller for nonlinear manipulator system designed by using the idea of the model-following servo controller. The control method proposed does not require the linearization but can consider the internal forces at joints.
Satoru Terashima   +4 more
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Nonlinear Optimal Tracking With Incomplete State Information Using State Dependent Riccati Equation

2015
A number of computational techniques have been offered for estimation of unmeasured states in nonlinear systems. Most of these techniques rely on applying the linear estimation techniques to the linearized systems, which can be effective only in the neighborhood of the operating point.
Ahmed Khamis   +2 more
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Optimal tracking for a class of nonlinear systems based on the state-dependent Riccati equation

2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), 2013
In this paper an infinite-horizon optimal controller, based on the state-dependent Riccati equation approach to solve the tracking for nonlinear systems, is presented. The synthesized control law comes from solving the Hamilton-Jacobi-Bellman equation for state-dependent coefficient factorized nonlinear systems.
Fernando Ornelas-Tellez   +2 more
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Chaos control and chaos synchronization using the state-dependent Riccati equation techniques

Transactions of the Institute of Measurement and Control, 2018
In this paper, the problems of chaos control and chaos synchronization are solved using the state-dependent Riccati equation methods. In the former problem, a nonlinear suboptimal control law is found, which leads to a stable closed-loop system. In the latter, an optimal infinite-time horizon tracking problem is defined and solved using the state ...
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