Robust optimal control for a class of nonlinear systems with uncertainties and external disturbances based on SDRE

In this paper, the problem of the robust optimal control (ROC) for a class of nonlinear systems with uncertainties and external disturbances is studied. For this purpose, the State Dependent Riccati Equation (SDRE) is considered as a solution of the ROC. The proposed method is to transform a robust...

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Bibliographic Details
Published in:Cogent engineering 2018-01, Vol.5 (1), p.1451014
Main Authors: Khoshhal Rudposhti, Mohammad, Nekoui, Mohammad Ali, Teshnehlab, Mohammad
Format: Article
Language:English
Subjects:
Chaos theory
Complex systems
Control systems design
Disturbances
Economic models
external disturbance
Lyapunov stability
nonlinear system
Nonlinear systems
Optimal control
Performance indices
Riccati equation
Robust control
robust optimal control
SDRE
Sliding mode control
State variable
Time response
Uncertainty
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Summary:In this paper, the problem of the robust optimal control (ROC) for a class of nonlinear systems with uncertainties and external disturbances is studied. For this purpose, the State Dependent Riccati Equation (SDRE) is considered as a solution of the ROC. The proposed method is to transform a robust control problem into an optimal control problem, where the uncertainties and disturbances are reflected in the performance index. Hence, the performance index is selected as an energy function and using the proposed constraints in this paper the Lyapunov stability for this class of nonlinear systems is proved and the robust optimal controller is designed. In order to illustrate the high capability of the ROC method in optimal control of complex systems such as Hyper-chaotic system, the time response of state variables in the proposed method and the Global Robust Optimal Sliding Mode Control (GROSMC) method are compared together. The simulation results show that the time response of state variables in the ROC method is more sufficient than the GROSMC method.
ISSN:2331-1916
2331-1916
DOI:10.1080/23311916.2018.1451014