Nonlinear closed loop optimal control: A modified state-dependent Riccati equation

2013 ◽  
Vol 52 (2) ◽  
pp. 285-290 ◽  
Author(s):  
S. Rafee Nekoo
Keyword(s):  
Optimal Control ◽  
Riccati Equation ◽  
Closed Loop ◽  
State Dependent

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.

A near-optimal decentralized control approach for polynomial nonlinear interconnected systems

2020 ◽  
pp. 014233122097743
Author(s):  
Mohamed Sadok Attia ◽  
Mohamed Karim Bouafoura ◽  
Naceur Benhadj Braiek
Keyword(s):  
Optimal Control ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Open Loop ◽  
System Stability ◽  
Gronwall Lemma ◽  
Interconnected System ◽  
Control Approach ◽  
State Dependent ◽  
And Control

This article tackles the decentralized near-optimal control problem for the class of nonlinear polynomial interconnected system based on a shifted Legendre polynomials direct approach. The proposed method converts the interconnected optimal control problems into a nonlinear programming one with multiple constraints. In light of the formulated NLP optimization, state and control coefficients are used to design a nonlinear decentralized state feedback controller. Overall closed-loop system stability sufficient conditions are investigated with the help of Grönwall lemma. The triple inverted pendulum case is considered for simulation. Satisfactory results are obtained in both open-loop and closed-loop schemes with comparison to collocation and state-dependent Riccati equation techniques.

scholarly journals Indefinite LQ Problem for Irregular Singular Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Qingxiang Fang ◽  
Jigen Peng ◽  
Feilong Cao
Keyword(s):  
Optimal Control ◽  
Riccati Equation ◽  
State Feedback ◽  
Closed Loop ◽  
Singular Systems ◽  
Algebraic Riccati Equation ◽  
Closed Loop System ◽  
State Pair ◽  
Lq Problem ◽  
Control State

The indefinite LQ problem for irregular singular systems is investigated. Under some general conditions, the optimal control-state pair is obtained by solving an algebraic Riccati equation. The optimal control is synthesized as state feedback. All the finite poles of the closed-loop system are located on the left-half complex plane. An example is given to show the validity of the proposed conclusion.

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