scholarly journals Lyapunov matrices approach to the parametric optimization of time-delay systems

2015 ◽  
Vol 25 (3) ◽  
pp. 279-288 ◽  
Author(s):  
Józef Duda
Keyword(s):  
Time Delay ◽  
Lyapunov Functional ◽  
Parametric Optimization ◽  
Delay System ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Quadratic Performance Index ◽  
Parametric Optimization Problem ◽  
Lyapunov Matrix ◽  
Quadratic Performance

AbstractIn the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the initial function of the time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix

scholarly journals Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays

2016 ◽  
Vol 26 (3) ◽  
pp. 367-381
Author(s):  
Jozef Duda
Keyword(s):  
Time Delay ◽  
Lyapunov Functional ◽  
Parametric Optimization ◽  
Delay System ◽  
Delay Systems ◽  
Quadratic Performance Index ◽  
Parametric Optimization Problem ◽  
Two Delays ◽  
Lyapunov Matrix ◽  
Quadratic Performance

AbstractIn the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the Lyapunov functional for the initial function of time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix.

scholarly journals Lyapunov matrices approach to the parametric optimization of a neutral system

2016 ◽  
Vol 26 (1) ◽  
pp. 81-93 ◽  
Author(s):  
Jozef Duda
Keyword(s):  
Initial Function ◽  
Lyapunov Functional ◽  
Optimization Problem ◽  
Parametric Optimization ◽  
Neutral System ◽  
Quadratic Performance Index ◽  
Parametric Optimization Problem ◽  
Lyapunov Matrix ◽  
Quadratic Performance ◽  
Index Of Quality

In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the initial function of the neutral system. The Lyapunov functional is determined by means of the Lyapunov matrix.

Stabilizing Gain Regions of PID Controller for Time Delay Systems

2013 ◽  
Vol 313-314 ◽  
pp. 432-437
Author(s):  
Fu Min Peng ◽  
Bin Fang
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Pid Controller ◽  
Delay System ◽  
Nyquist Plot ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Frequency Range ◽  
Time Delay System ◽  
Key Points

Based on the inverse Nyquist plot, this paper proposes a method to determine stabilizing gain regions of PID controller for time delay systems. According to the frequency characteristic of the inverse Nyquist plot, it is confirmed that the frequency range is used for stability analysis, and the abscissas of two kind key points are obtained in this range. PID gain is divided into several regions by abscissas of key points. Using an inference and two theorems presented in the paper, the stabilizing PID gain regions are determined by the number of intersections of the inverse Nyquist plot and the vertical line in the frequency range. This method is simple and convenient. It can solve the problem of getting the stabilizing gain regions of PID controller for time delay system.

scholarly journals Passivity analysis and synthesis for uncertain time-delay systems

2001 ◽  
Vol 7 (5) ◽  
pp. 455-484 ◽  
Author(s):  
Magdi S. Mahmoud ◽  
Lihua Xie
Keyword(s):  
Time Delay ◽  
Design Method ◽  
Delay System ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Time Delay System ◽  
Passivity Analysis ◽  
Analysis And Synthesis ◽  
Uncertain Time

In this paper, we investigate the robust passivity analysis and synthesis problems for a class of uncertain time-delay systems. This class of systems arises in the modelling effort of studying water quality constituents in fresh stream. For the analysis problem, we derive a sufficient condition for which the uncertain time-delay system is robustly stable and strictly passive for all admissible uncertainties. The condition is given in terms of a linear matrix inequality. Both the delay-independent and delay-dependent cases are considered. For the synthesis problem, we propose an observer-based design method which guarantees that the closed-loop uncertain time-delay system is stable and strictly passive for all admissible uncertainties. Several examples are worked out to illustrate the developed theory.

Sign in / Sign up

Export Citation Format

Share Document