State-dependent Riccati equation feedback stabilization for nonlinear PDEs [PDF]
Advances in Computational Mathematics, 2021 The synthesis of suboptimal feedback laws for controlling nonlinear dynamics arising from semi-discretized PDEs is studied. An approach based on the State-dependent Riccati Equation (SDRE) is presented for 2 and ∞ control problems.
A. Alla, D. Kalise, V. Simoncini
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Optimizing semilinear representations for State-dependent Riccati Equation-based feedback control [PDF]
IFAC-PapersOnLine, 2022 An optimized variant of the State Dependent Riccati Equations (SDREs) approach for nonlinear optimal feedback stabilization is presented. The proposed method is based on the construction of equivalent semilinear representations associated to the dynamics
S. Dolgov, D. Kalise, Luca Saluzzi
semanticscholar +4 more sources
Nonlinear state-dependent Riccati equation control of a quadrotor UAV [PDF]
2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006 Small quadrotor UAVs represent a very interesting class of small flying robots because of their ability to fly in- and outdoor. Therefore, these vehicles have an enormous potential for near-area surveillance and exploration. However, especially indoor flight is a difficult task for vehicle control which has to stabilize the desired velocity vector and ...
H. Voos
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A POD Approach to Identify and Control PDEs Online Through State Dependent Riccati Equations [PDF]
Dynamic Games and ApplicationsWe address the control of partial differential equations (PDEs) with unknown parameters. Our objective is to devise an efficient algorithm capable of both identifying and controlling the unknown system.
Alessandro Alla, Agnese Pacifico
semanticscholar +5 more sources
Gradient-augmented Supervised Learning of Optimal Feedback Laws Using State-Dependent Riccati Equations [PDF]
IEEE Control Systems Letters, 2021 A supervised learning approach for the solution of large-scale nonlinear stabilization problems is presented. A stabilizing feedback law is trained from a dataset generated from State-dependent Riccati Equation solvers.
G. Albi, Sara Bicego, D. Kalise
semanticscholar +1 more source
Finite-time SDRE control of F16 aircraft dynamics [PDF]
Archives of Control Sciences, 2022 This paper proposes a finite-time horizon suboptimal control strategy based on statedependent Riccati equation (SDRE) to control of F16 multirole aircraft. Flight stabilizer control of super maneuverable aircraft is modelled and simulated.
Marcin Chodnicki +3 more
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Low-Complexity Linear Parameter-Varying Approximations of Incompressible Navier-Stokes Equations for Truncated State-Dependent Riccati Feedback [PDF]
IEEE Control Systems Letters, 2023 Nonlinear feedback design via state-dependent Riccati equations is well established but unfeasible for large-scale systems because of computational costs.
J. Heiland, Steffen W. R. Werner
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Linear-Quadratic Optimal Controls for Stochastic Volterra Integral Equations: Causal State Feedback and Path-Dependent Riccati Equations [PDF]
SIAM Journal of Control and Optimization, 2022 A linear-quadratic optimal control problem for a forward stochastic Volterra integral equation (FSVIE, for short) is considered. Under the usual convexity conditions, open-loop optimal control exists, which can be characterized by the optimality system ...
Han-Xiao Wang, Jiong-Min Yong, Chao Zhou
semanticscholar +1 more source
Applied Sciences, 2021 This paper presents modeling and infinite-time suboptimal control of a quadcopter device using the state-dependent Riccati equation (SDRE) method. It establishes a solution to the control problem using SDRE and proposes a new procedure for solving the ...
Sławomir Stępień +1 more
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Distributed Observers for State Omniscience with Stochastic Communication Noises
Mathematics, 2023 The focus of this paper is on solving the state estimation problem for general continuous-time linear systems through the use of distributed networked observers.
Kairui Chen +3 more
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