Spacecraft Nonlinear Estimation and Control Using Mag-netic Measurements and Actuation: A Modified State Dependent Riccati Equation Approach

2010 ◽  
Author(s):  
Mohammad Abdelrahman ◽  
Sang-Young Park
Keyword(s):  
Riccati Equation ◽  
Nonlinear Estimation ◽  
Equation Approach ◽  
State Dependent ◽  
Estimation And Control ◽  
And Control

scholarly journals Nonlinear Finite-Horizon Regulation and Tracking for Systems with Incomplete State Information Using Differential State Dependent Riccati Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Ahmed Khamis ◽  
D. Subbaram Naidu ◽  
Ahmed M. Kamel
Keyword(s):  
Riccati Equation ◽  
Stochastic Systems ◽  
Finite Horizon ◽  
Guidance System ◽  
State Dependent ◽  
Wide Range ◽  
Linearized System ◽  
Estimation And Control ◽  
Regulation And Tracking ◽  
And Control

This paper presents an efficient online technique used for finite-horizon, nonlinear, stochastic, regulator, and tracking problems. This can be accomplished by the integration of the differential SDRE filter algorithm and the finite-horizon state dependent Riccati equation (SDRE) technique. Unlike the previous methods which deal with the linearized system, this technique provides finite-horizon estimation and control of the nonlinear stochastic systems. Further, the proposed technique is effective for a wide range of operating points. Simulation results of a missile guidance system are presented to illustrate the effectiveness of the proposed technique.

Vibration suppression and attitude control for the formation flight of flexible satellites by optimally tuned on-off state-dependent Riccati equation approach

2020 ◽  
Vol 42 (15) ◽  
pp. 2984-3001
Author(s):  
Hossein Rouzegar ◽  
Alireza Khosravi ◽  
Pouria Sarhadi
Keyword(s):  
Riccati Equation ◽  
Attitude Control ◽  
Vibration Suppression ◽  
Pso Algorithm ◽  
Formation Flight ◽  
Equation Approach ◽  
Coordination Control ◽  
Suggested Approach ◽  
State Dependent ◽  
Highly Nonlinear

In this paper, vibration suppression and attitude control for the formation flight of flexible satellites using optimally tuned on-off SDRE (state-dependent Riccati equation) approach is discussed. A formation consisting of flexible satellites has highly nonlinear dynamics and the corresponding satellites are subject to vibrations as well as uncertainties due to the practical conditions. Vibrations that are mainly caused by flexible modes of the satellites disorganize the coordination and hinder the formation stability as well as decreasing its performance and lifetime. Hence, flexibility should be considered in formation model and the coordination control needs to address such challenges. Owing to capabilities of SDRE approach for nonlinear systems, it is used as the coordination control. Satellites are assumed to be equipped with thrusters as their actuators which requires the control to be applied as on-off pulses. To this end, an algorithm is suggested to efficiently convert SDRE control into on-off pulses. For optimal tuning of the controller, the particle swarm optimization (PSO) algorithm is employed. Stability of the system has also been analyzed via a Lyapunov-based approach utilizing the region of attraction concept. The proposed on-off SDRE approach has shown to effectively suppress the vibrations in the presence of uncertainties leading to the accurate coordination of the whole formation while consuming less energy. Simulation results show the capability, efficiency, robustness and stability of the suggested approach.

Editorial: Nonlinear estimation and control of BioProcesses

2009 ◽  
Vol 25 (3) ◽  
pp. 605-605
Author(s):  
Alain Vande Wouwer ◽  
Isabelle Queinnec
Keyword(s):  
Nonlinear Estimation ◽  
Estimation And Control ◽  
And Control
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