Online solution of state dependent Riccati equation for nonlinear system stabilization
Proceedings of the 2010 American Control Conference, 2010A number of computational methods have been proposed in the literature for synthesizing nonlinear control based on state-dependent Riccati equation (SDRE). Most of these methods are numerically complex or depend on correct initial conditions. This paper presents a new and computationally efficient online method for the design of stabilizing control for
Tansel Yucelen +2 more
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Controller design of cooperative manipulators using state-dependent Riccati equation
Robotica, 2017SUMMARYThis study examined the use of a state-dependent Riccati equation (SDRE) for controller design and analysis of cooperative manipulators. The connection of end-effectors when holding an object imports constraint and complexity into the problem.
Moharam Habibnejad Korayem +1 more
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A State-Dependent Riccati Equation Approach to Atmospheric Entry Guidance
AIAA Guidance, Navigation, and Control Conference, 2010This paper investigates the use of state-dependent Riccati equation control for closed-loop guidance of the hypersonic phase of atmospheric entry. Included are a discussion of the development of the state-dependent Riccati equations, their outgrowth from Hamilton-Jacobi-Bellman theory, a discussion of the closed-loop nonlinear system’s closed-loop ...
Bradley Steinfeldt, Panagiotis Tsiotras
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State-Dependent Riccati Equation Control For Small Autonomous Helicopters
Journal of Guidance, Control, and Dynamics, 2007DOI: 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 (SDRE) Control: A Survey
IFAC Proceedings Volumes, 2008Since 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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Parametric enhancement of state-dependent Riccati equation based control
Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997In 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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State-Dependent Riccati Equation for Control of Aeroelastic Flutter
Journal of Guidance, Control, and Dynamics, 2003Feedback 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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STATE DEPENDENT DIFFERENTIAL RICCATI EQUATION FOR NONLINEAR ESTIMATION AND CONTROL
IFAC Proceedings Volumes, 2002Abstract State-dependent Riccati equation (SDRE) methods for designing control algorithms and observers for nonlinear processes entail the use of algebraic Riccati equations. These methods have yielded a number of impressive results, however, they can be computationally quite intensive and thus far they have not yielded to those attempting to assess ...
David A. Haessig, Bernard Friedland
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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), 2020This 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), 2000Spacecraft 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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