Control and Optimization
Masoomeh Ebrahimipour; Saeed Nezhadhosein; Seyed Mehdi Mirhosseini-Alizamini
Abstract
This paper presents an optimal robust adaptive technique for controlling a certain class of uncertain nonlinear affine systems. The proposed approach combines sliding mode control, a linear quadratic regulator for optimality, and gradient descent as an adaptive controller. ...
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This paper presents an optimal robust adaptive technique for controlling a certain class of uncertain nonlinear affine systems. The proposed approach combines sliding mode control, a linear quadratic regulator for optimality, and gradient descent as an adaptive controller. The convergence of the sliding mode control process is proven using two theorems based on the Lyapunov function. Simulation results for pendulum and inverted pendulum systems demonstrate that the proposed method outperforms both the linear quadratic regulator technique and the sliding mode control regarding reduced chattering and improved reaching time.
Sahar Vaseei; Mohammad Reza Zarrabi
Abstract
In view of the tremendous importance of patients’ stability in medical sciences, this paper addresses the application of a sliding mode control in medical devices. In doing so, we consider a nonlinear dynamic system that shows the mathematical model of the human immunodeficiency ...
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In view of the tremendous importance of patients’ stability in medical sciences, this paper addresses the application of a sliding mode control in medical devices. In doing so, we consider a nonlinear dynamic system that shows the mathematical model of the human immunodeficiency virus. This nonlinear model has three variable states: healthy cells, infected cells, and free viruses. The proposed controller displays the effect of medication on preventing the production of the virus and blocking the new infection. This controller ensures the stability of this dynamic system provided for HIV in the event of a bounded disturbance. The stability and convergence of this process are proved by the Lyapunov theorem. Finally, a numerical example is given to demonstrate the efficiency of the proposed method.
