scholarly journals Voluntary Export Restraints in a Trade Model with Sticky Price: Linear and Nonlinear Feedback Solutions

2017 ◽  
Author(s):  
Luca Lambertini ◽  
Arsen Palestini
Keyword(s):  
Nonlinear Feedback ◽  
Trade Model ◽  
Linear And Nonlinear ◽  
Voluntary Export Restraints

scholarly journals Nonlinear feedback controller for the synchronization of (chaotic) systems with known parameters

2020 ◽  
Vol 23 (02) ◽  
pp. 124-135
Author(s):  
Muhammad Haris ◽  
Muhammad Shafiq ◽  
Adyda Ibrahim ◽  
Masnita Misiran
Keyword(s):  
Closed Loop ◽  
Lyapunov Stability Theory ◽  
Feedback Controller ◽  
Control Signal ◽  
Stability And Convergence ◽  
Nonlinear Feedback ◽  
Nonlinear Part ◽  
Synchronization Errors ◽  
Novel Structure ◽  
Linear And Nonlinear

This paper proposes, designs, and analyses a novel nonlinear feedback controller that realizes fast, and oscillation free convergence of the synchronization error to the equilibrium point. Oscillation free convergence lowers the failure chances of a closed-loop system due to the reduced chattering phenomenon in the actuator motion, which is a consequence of low energy sm ooth control signal. The proposed controller has a novel structure. This controller does not cancel nonlinear terms of the plant in the closed-loop; this attribute improves the robustness of the loop. The controller consists of linear and nonlinear parts; each part executes a specific task. The linear term in the controller keeps the closed-loop stable, while the nonlinear part of the controller facilitates the fast convergence of the error signal to the vicinity of the origin. Then the linear controller synthesizes a smooth control signal that moves the error signals to zero without oscillations. The nonlinear term of the controller does not contribute to this synthesis. The collaborative combination of linear and nonlinear controllers that drive the synchronization errors to zero is innovative. The paper establishes proof of global stability and convergence behavior by describing a detailed analysis based on the Lyapunov stability theory. Computer simulation results of two numerical examples verify the performance of the proposed controller approach. The paper also provides a comparative study with state-of-the-art controllers.

scholarly journals Comparing Combinations of Linear and Nonlinear Feedback Terms for Ship Motion Control

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 193813-193826
Author(s):  
Mikkel Eske Norgaard Sorensen ◽  
Morten Breivik ◽  
Roger Skjetne
Keyword(s):  
Motion Control ◽  
Ship Motion ◽  
Nonlinear Feedback ◽  
Linear And Nonlinear
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