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On the stability of optimal controlled systems with SDRE approach
International Multi-Conference on Systems, Sygnals & Devices, 2012State Dependant Riccati Equation (SDRE) method is gaining more and more place as a promising emerged methodology for nonlinear control system design, and therefore becoming the basic theory about which are articulated many relevant recent approaches for the optimal control resolution of a control-affine nonlinear system.
Salwa Elloumi +2 more
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Finite-Time LQR and SDRE for Satellite Formation Flying
2021Even though the results of the infinite-time LQR, SDRE, DI approaches are seemingly easier to understand and implement and can lead to acceptable results with appropriate tuning, it is very important to understand that such approaches are not strongly recommended for satellite formation flying problems in general.
S. Mathavaraj, Radhakant Padhi
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SDRE control of flexible beam manipulator
2015 International Conference on Soft Computing Techniques and Implementations (ICSCTI), 2015This paper deals with dynamic modeling and tip position control of flexible beam manipulator with flexible joint while suppressing the link vibrations. The nonlinear dynamic model of the flexible beam manipulators has been derived using the idea of Lagrangian mechanics and assumed modes method (AMM).
K V Shihabudheen +2 more
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A Simplified SDRE Technique for Regulation in Optimal Control Systems
2019 IEEE International Conference on Electro Information Technology (EIT), 2019Optimal control of linear systems is a well-established area of research, whereas the closed-loop, optimal control of nonlinear systems has been a challenging research area and there has been recent work in this area using state-dependent Riccati equation (SDRE).
D. Subbaram Naidu +2 more
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Modified SDRE Method for Finite-time Nonlinear Optimal Control Problem
2022 International Russian Automation Conference (RusAutoCon), 2022the optimal control problem on a finite-time interval for a nonlinear system with state-dependent coefficients is considered in this paper. The most common method for such systems is the state-dependent Riccati equation (SDRE) method.
A. Kabanov
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SDRE control of non-affine systems
2016 4th International Conference on Control, Instrumentation, and Automation (ICCIA), 2016In this paper, we present a new method for obtaining closed-form SDC matrices for synthesis of SDRE controller for non-affine nonlinear systems. Furthermore, we design SDRE controller with OCU method for proposed SDC form. Simulation results shows that proposed method for designing SDRE controller yields good tracking performance and smoothness of ...
Kiumars Azimi Roudkenary +2 more
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Asian Journal of Control, 2018
AbstractThe state‐dependent Riccati equation (SDRE) is a nonlinear optimal controller derived from applying optimality conditions on a Hamiltonian equation. A co‐state vector is involved in the derivation process. This has been commonly considered a function of time only, despite the existence of states in the co‐state vector.
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AbstractThe state‐dependent Riccati equation (SDRE) is a nonlinear optimal controller derived from applying optimality conditions on a Hamiltonian equation. A co‐state vector is involved in the derivation process. This has been commonly considered a function of time only, despite the existence of states in the co‐state vector.
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Closed-form SDRE control solution for second-order non-linear systems
IEEE Conference on Decision and ControlOptimal control theory is widely used to develop control strategies that minimize a given cost function while ensuring both system stability and performance. Within this framework, Riccati Equation-based optimal control has emerged as an approach gaining
Alessandro Di Biase +2 more
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Padé Approximations and the SDRE Technique in the Design of Parametric Families of Feedback Laws
2022 International Russian Automation Conference (RusAutoCon), 2022The paper demonstrates an approach for the construction of a parametric description of a family of feedbacks using one-point and two-point matrix Padé approximations (PA), which are obtained on the basis of asymptotic approximations.
Yulia E. Danik, M. Dmitriev
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Experimental real-time SDRE control of an underactuated robot
Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002In this paper, State-Dependent Riccati Equation (SDRE) nonlinear control is used to regulate the Pendubot, a two-link underactuated robot developed at UIUC, at one of its unstable equilibrium positions. The plant is not fully feedback linearizable due to weakly nonminimum phase zero-dynamics.
Ervin B. Erdem, Andrew G. Alleyne
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