scholarly journals Global State-Feedback Control for Switched Nonlinear Time-Delay Systems via Dynamic Gains

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Hui Ye ◽  
Bin Jiang ◽  
Hao Yang ◽  
Gui-Hua Zhao
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Global State ◽  
Switching Law ◽  
Power Integrator ◽  
Dynamic Gain

In this paper, the problem of global state-feedback control is investigated for a class of switched nonlinear time-delay systems. In order to obtain a less-conservative common dynamic gain update law across subsystems, we construct different dynamic gain update laws for individual subsystems. Based on multiple Lyapunov function approach and adding one power integrator technique, the delay-independent controllers for all subsystems and a proper switching law are designed to guarantee that the states of the switched nonlinear time-delay systems can be globally asymptotically to the origin; meanwhile, all the signals of the closed-loop system are bounded. Finally, an example is provided to demonstrate the effectiveness of the proposed method.

Design of Observer-Based Feedback Control for Time-Delay Systems With Application to Automotive Powertrain Control

2009 ◽  
Author(s):  
Sun Yi ◽  
Patrick W. Nelson ◽  
A. Galip Ulsoy
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
State Feedback ◽  
Feedback Controller ◽  
State Feedback Control ◽  
Delay Systems ◽  
Lambert W Function ◽  
Actual State ◽  
Time Delay Systems ◽  
New Approach

A new approach for observer-based feedback control of time-delay systems is developed. Time-delays in systems lead to characteristic equations of infinite dimension, making the systems difficult to handle with classical control methods. In this paper, a recently developed approach, based on the Lambert W function, is used to address this difficulty and to control time-delay systems by designing an observer-based state feedback controller via eigenvalue assignment. The designed observer provides estimation of the state, which converges asymptotically to the actual state, and is then used for state feedback control. The feedback controller and the observer take simple linear forms and, thus, are easy to implement when compared to nonlinear methods. This new approach is applied, for illustration, to the control of a diesel engine to achieve improvement in fuel efficiency and reduction in emissions. The simulation results show excellent closed-loop performance.

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