State-dependent Riccati equation approach for optimal control of a tandem cold metal rolling process

2006 ◽  
Vol 42 (3) ◽  
pp. 836-843 ◽  
Author(s):  
J. Pittner ◽  
M.A. Simaan
Keyword(s):  
Optimal Control ◽  
Riccati Equation ◽  
Rolling Process ◽  
Equation Approach ◽  
State Dependent ◽  
Cold Metal

A New Optimal Control of a Tandem Cold Metal Rolling Process

2010 ◽  
Vol 102-104 ◽  
pp. 441-445
Author(s):  
Yu Rong Nan ◽  
Yong Feng Li
Keyword(s):  
Riccati Equation ◽  
Control Strategy ◽  
Rolling Process ◽  
The Third ◽  
Tandem Cold Rolling ◽  
State Dependent ◽  
Successful Control ◽  
Tandem Cold Mill ◽  
Cold Metal ◽  
Cold Mill

In tandem cold mill, a strip is flattened by stands of rolls to a desired thickness. In the process, there exists thickness disturbance and hardness disturbance, which will affect the export thickness of the strip. In order to solve these problems, control system adopt a new control strategy wherein a state-dependent Riccati equation is utilized. In the third part of this paper, the new technique which uses the state-dependent Riccati equation method for controlling the tandem cold rolling is tested by simulations. The results of these simulations are included in the evaluations which show successful control during the passage of the weld.

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.

scholarly journals Optimal Control of PMSG Based Wind Energy Conversion System using State-Dependent DRE

2020 ◽  
Vol 9 (5) ◽  
pp. 1297-1301
Keyword(s):  
Optimal Control ◽  
Wind Energy ◽  
Energy Conversion ◽  
Riccati Equation ◽  
Wind Energy Conversion System ◽  
Wind Energy Conversion ◽  
Differential Riccati Equation ◽  
State Dependent ◽  
Conversion System ◽  
Energy Conversion System

Generation of electricity from wind is becoming more economical and popular with improved system design with modern control techniques. To capture energy from the inherently variable wind source and converting it into good quality electricity need to use advanced techniques in equipment and control . Since all the subsystems involved in the generation of electricity from wind are highly nonlinear, optimal control using linear models and linear techniques will not be effective. This paper presents a closed loop optimal control for a PMSG based wind energy conversion system using State Dependent Differential Riccati Equation. A suboptimal control is obtained for the non-linear system through differential Riccati equation, which is solved by converting in to linear Lyapunov equation by change of variables in the finite-horizon. The effectiveness of the technique is verified by simulating on MATLAB platform.

Sign in / Sign up

Export Citation Format

Share Document