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Estimation of the Region of Attraction for State-Dependent Riccati Equation Controllers
Journal of Guidance, Control, and Dynamics, 2006A new method for estimating a higher bound of the region of attraction of a nonlinear system is developed for state-dependent Riccati equation controller. The methodology can be applied to SDRE-controlled systems for improving the stability properties of such systems.
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Controllability Issues in Nonlinear State-Dependent Riccati Equation Control
Journal of Guidance, Control, and Dynamics, 1998Inthelastfewyears,algorithmsusingstate-dependentRiccatiequations (SDREs)havebeenproposedforsolving nonlinear control problems. Under state feedback, pointwise solutions of an SDRE must be obtained along the system trajectory. To ensure the control is well dee ned, global controllability and observability of state-dependent system factorizations are ...
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Control for a Class of Second-Order Systems via a State-Dependent Riccati Equation Approach
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STATE DEPENDENT DIFFERENTIAL RICCATI EQUATION FOR NONLINEAR ESTIMATION AND CONTROL
Abstract 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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Suboptimal control of a 3 dof helicopter with state dependent riccati equations
2017 XXVI International Conference on Information, Communication and Automation Technologies (ICAT), 2017The paper presents the application of State Dependent Riccati Equation (SDRE) based optimal controller design for nonlinear systems. Optimal controller is designed in local sense to minimize a given quadratic performance index, leading to well-known Linear Quadratic Regulator (LQR) problem and the optimal controller is updated at each sampling time to ...
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Ensuring stability of state-dependent Riccati equation controllers via satisficing
Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003Controls based on solutions to the state-dependent Riccati equation (SDRE) have been shown to offer high performance, but they suffer from unproven stability properties. This paper combines SDRE with satisficing, a novel clf-based approach which analytically guarantees stability.
J. Willard Curtis, Randal W. Beard
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Design of a Class of Nonlinear Controllers via State Dependent Riccati Equations
IEEE Transactions on Control Systems Technology, 2004In this brief, infinite-horizon nonlinear regulation of second-order systems using the State Dependent Riccati Equation (SDRE) method is considered. By a convenient parametrization of the A(x) matrix, the state-dependent algebraic Riccati equation is solved analytically.
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