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Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense

Chaos, Solitons & Fractals, 2019
This article is concerned with design and comprehensive study of a numerical approach for solving Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense.
Omar Abu Arqub, Banan Maayah
semanticscholar   +1 more source

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
openaire   +1 more source

An advanced scheme based on artificial intelligence technique for solving nonlinear riccati systems

Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohd Rashid Admon   +3 more
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An Advanced Driver Assistance System by Using State Dependent Riccati Equation Technique

2006 IEEE Intelligent Vehicles Symposium, 2006
The aim of the present paper is to consider coordination of steering and individual wheel braking actuated vehicle dynamics controller by proposing the solution of state dependent Riccati Equation as an optimal controller applied to stabilize the lateral dynamics of the vehicle subjected to sudden disturbance inputs in the lateral direction.
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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 ...
openaire   +1 more source

Stability of Periodic Receding Horizon Control via Fake Riccati Techniques

IFAC Proceedings Volumes, 1993
Abstract In this paper, periodic receding-horizon control of periodic and time-invariant systems is considered. This type of receding-horizon control is based on the periodic extension of the control law that solves a finite-horizon optimal control problem.
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A technique for expanding the matrix Riccati equation

Computers & Electrical Engineering, 1976
Chen, C. F., Shieh, L. S.
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SOLUTION OF RICCATI DIFFERENTIAL EQUATION WITH GREEN’S FUNCTION AND PADÈ APPROXIMATION TECHNIQUE

Advances in Differential Equations and Control Processes, 2019
Arya, Mohit, Ujlayan, Amit
openaire   +2 more sources

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