Adaptive State-Dependent Riccati Equation Control for Formation Reconfiguration in Cislunar Space

2022 ◽  
pp. 1-8
Author(s):  
Andrea Capannolo ◽  
Michèle Lavagna
Keyword(s):  
Riccati Equation ◽  
Formation Reconfiguration ◽  
State Dependent

Global Stability of a System with State-Dependent Riccati Equation Controller

2015 ◽  
Vol 38 (10) ◽  
pp. 2050-2054 ◽  
Author(s):  
Chih-Chiang Chen ◽  
Yew-Wen Liang ◽  
Wei-Ming Jhu
Keyword(s):  
Global Stability ◽  
Riccati Equation ◽  
State Dependent

Robust ${H_\infty }$ Control of Doubly Fed Wind Generator via State-Dependent Riccati Equation Technique

2019 ◽  
Vol 34 (3) ◽  
pp. 2390-2400 ◽  
Author(s):  
Boyu Qin ◽  
Haoyuan Sun ◽  
Jin Ma ◽  
Wei Li ◽  
Tao Ding ◽  
...  
Keyword(s):  
Riccati Equation ◽  
Wind Generator ◽  
State Dependent ◽  
Doubly Fed

A state-dependent Riccati equation-based estimator approach for HIV feedback control

2006 ◽  
Vol 27 (2) ◽  
pp. 93-121 ◽  
Author(s):  
H. T. Banks ◽  
Hee-Dae Kwon ◽  
J. A. Toivanen ◽  
H. T. Tran
Keyword(s):  
Feedback Control ◽  
Riccati Equation ◽  
State Dependent

scholarly journals Numerical Solution of SDRE Control Problem – Comparison of the Selected Methods

2020 ◽  
Vol 45 (2) ◽  
pp. 79-95
Author(s):  
Krzysztof Hałas ◽  
Eugeniusz Krysiak ◽  
Tomasz Hałas ◽  
Sławomir Stępień
Keyword(s):  
Control Systems ◽  
Riccati Equation ◽  
Computational Effort ◽  
Linear Control ◽  
Algebraic Riccati Equation ◽  
Linear Control Systems ◽  
Nonlinear Constraints ◽  
State Dependent ◽  
Suboptimal Solution ◽  
Problem Comparison

AbstractMethods for solving non-linear control systems are still being developed. For many industrial devices and systems, quick and accurate regulators are investigated and required. The most effective and promising for nonlinear systems control is a State-Dependent Riccati Equation method (SDRE). In SDRE, the problem consists of finding the suboptimal solution for a given objective function considering nonlinear constraints. For this purpose, SDRE methods need improvement.In this paper, various numerical methods for solving the SDRE problem, i.e. algebraic Riccati equation, are discussed and tested. The time of computation and computational effort is presented and compared considering selected nonlinear control plants.

scholarly journals Optimal Factorization of the State-Dependent Riccati Equation Technique in a Satellite Attitude and Orbit Control System

2021 ◽  
Vol 20 ◽  
pp. 98-107
Author(s):  
Alessandro Gerlinger Romero ◽  
Luiz Carlos Gadelha De Souza
Keyword(s):  
Control System ◽  
Riccati Equation ◽  
The State ◽  
Linear Control ◽  
Control Techniques ◽  
Orbit Control ◽  
Satellite Attitude ◽  
Modified Rodrigues Parameters ◽  
State Dependent ◽  
Attitude Maneuver

The satellite attitude and orbit control system (AOCS) can be designed with success by linear control theory if the satellite has slow angular motions and small attitude maneuver. However, for large and fast maneuvers, the linearized models are not able to represent all the perturbations due to the effects of the nonlinear terms present in the dynamics and in the actuators (e.g., saturation). Therefore, in such cases, it is expected that nonlinear control techniques yield better performance than the linear control techniques. One candidate technique for the design of AOCS control law under a large maneuver is the State-Dependent Riccati Equation (SDRE). SDRE entails factorization (that is, parameterization) of the nonlinear dynamics into the state vector and the product of a matrix-valued function that depends on the state itself. In doing so, SDRE brings the nonlinear system to a (nonunique) linear structure having state-dependent coefficient (SDC) matrices and then it minimizes a nonlinear performance index having a quadratic-like structure. The nonuniqueness of the SDC matrices creates extra degrees of freedom, which can be used to enhance controller performance, however, it poses challenges since not all SDC matrices fulfill the SDRE requirements. Moreover, regarding the satellite's kinematics, there is a plethora of options, e.g., Euler angles, Gibbs vector, modified Rodrigues parameters (MRPs), quaternions, etc. Once again, some kinematics formulation of the AOCS do not fulfill the SDRE requirements. In this paper, we evaluate the factorization options (SDC matrices) for the AOCS exploring the requirements of the SDRE technique. Considering a Brazilian National Institute for Space Research (INPE) typical mission, in which the AOCS must stabilize a satellite in three-axis, the application of the SDRE technique equipped with the optimal SDC matrices can yield gains in the missions. The initial results show that MRPs for kinematics provides an optimal SDC matrix.

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