A new approach to delay-dependent state-feedback H∞ control of time-delay systems

2001 ◽  
Author(s):  
E. Fridman ◽  
U. Shaked
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Delay Systems ◽  
Time Delay Systems ◽  
New Approach ◽  
Delay Dependent ◽  
Dependent State

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.

Robust H∞ Control of Time-Delay Systems

2013 ◽  
Vol 634-638 ◽  
pp. 3849-3852
Author(s):  
Man Sun
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Performance Criterion ◽  
Delay Systems ◽  
Linear Matrix ◽  
Polytopic Uncertainty ◽  
Time Delay Systems ◽  
Matrix Inequalities ◽  
Feedback Synthesis ◽  
Delay Dependent

In this paper, a delay-dependent H_infinity performance criterion which possess decoupling structure is derived for a class of time-delay systems. It is then extended to H_infinity state-feedback synthesis for time-delay systems with polytopic uncertainty. All the conditions are given in terms of the linear matrix inequalities (LMIs). Numerical examples illustrate the effectiveness of our methods.

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