@article{Malmir2023, 
author = {Iman Malmir},
title = {Novel closed-loop controllers for fractional nonlinear quadratic systems},
year = {2023},
journal = {Mathematical Modelling and Control},
volume = {3},
number = {4},
pages = {345-354},
keywords = {fractional nonlinear optimal control, closed-loop controller, fractional Riccati equation for nonlinear systems, fractional nonlinear system, linear controller for nonlinear systems, highly nonlinear system},
url = {https://www.sciopen.com/article/10.3934/mmc.2023028},
doi = {10.3934/mmc.2023028},
abstract = {A novel closed-loop optimal controller for fractional nonlinear quadratic optimal control problems is introduced. By using a new idea, the optimality conditions for the fractional nonlinear problems are derived. The linearized Riccati fractional order differential equation is derived and a new solution method is given for the first time, which can be applied to integer order nonlinear optimal control problems. The proposed closed-loop controller is applied to illustrative examples. Novel unprecedented processes of designing a variable linear controller and of finding the optimal performance index for integer order nonlinear systems are presented.}
}