Two term composite nonlinear feedback controller design for nonlinear time-delay systems

2017 ◽  
Vol 40 (12) ◽  
pp. 3424-3432 ◽  
Author(s):  
Sonal Singh ◽  
Shubhi Purwar ◽  
Abhijit Kulkarni
Keyword(s):  
Time Delay ◽  
Transient Response ◽  
Control Technique ◽  
Delay Systems ◽  
Time Delay Systems ◽  
State Control ◽  
Nonlinear Feedback ◽  
Composite Nonlinear Feedback ◽  
Fast Transient Response ◽  
Fast Transient

A two term composite nonlinear feedback (2TCNF) control technique is developed here for nonlinear time delay systems in presence of input saturation. The proposed controller consists of two terms that are conventional composite nonlinear feedback (CNF) control and delay state control. CNF control has advantage of fast transient response and delay state control improves damping characteristics. The proposed controller thus has both these advantages and it tracks the reference smoothly. The closed loop asymptotic stability is guaranteed via Lyapunov–Krasovskii analysis. The efficiency of the proposed controller is tested on exothermic chemical reactor and validated through simulation results. Its performance is compared with the conventional CNF control. The superiority of 2TCNF is established in terms of less overshoot, fast transient response and reduced steady state error.

Low-conservative robust composite nonlinear feedback control for singular time-delay systems

2020 ◽  
pp. 107754632095373
Author(s):  
Emad Jafari ◽  
Tahereh Binazadeh
Keyword(s):  
Time Delay ◽  
Actuator Saturation ◽  
Linear Part ◽  
Feedback Controller ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Nonlinear Feedback ◽  
Composite Nonlinear Feedback ◽  
Singular Time

A low-conservative composite nonlinear feedback controller is proposed for singular time-delay systems with time-varying delay. The proposed composite nonlinear feedback controller not only improves the transient responses of the closed-loop system but it also has less conservatism than other composite nonlinear feedback controllers. The gain of the linear part of the composite nonlinear feedback controller is obtained by precise mathematical calculation to depend not only on the upper bound of the delay but also on the delay range and rate of its changes. More advantages of the proposed composite nonlinear feedback controller are its accurate operation in the presence of actuator saturation, model uncertainties, and system singularities. The linear and nonlinear parts of the proposed controller are designed by solving a linear matrix inequality problem confirmed through a theorem using Lyapunov stability analysis. The theoretical achievements are endorsed by computer simulation through numerical and practical examples.

ROBUST ADAPTIVE FUZZY CONTROLLER DESIGN FOR A CLASS OF UNCERTAIN NONLINEAR TIME-DELAY SYSTEMS

2011 ◽  
Vol 19 (02) ◽  
pp. 329-360 ◽  
Author(s):  
YAN-JUN LIU ◽  
RUI WANG ◽  
C. L. PHILIP CHEN
Keyword(s):  
Time Delay ◽  
Fuzzy Controller ◽  
Control Technique ◽  
Delay Systems ◽  
Design Parameters ◽  
Time Delay Systems ◽  
Dynamic Surface ◽  
Adaptive Fuzzy Controller ◽  
Adaptive Fuzzy ◽  
Approximation Errors

In this paper, the problems of stability and control for a class of uncertain nonlinear systems with unknown state time-delay are studied by using the fuzzy logic systems. Because the dynamic surface control technique is introduced to deal with the uncertain time-delay systems, the designed adaptive fuzzy controller can avoid the issue of "explosion of complexity", which comes from the traditional backstepping design procedure. Compared with the existing results in the literature, the robustness to the fuzzy approximation errors is improved by adjusting the estimations of the unknown bounds for the approximation errors. It is shown that the resulting closed-loop system is stable in the sense that all the signals are bounded and the system output track the reference signal in a small neighborhood of the origin by choosing design parameters appropriately. Three simulation examples are given to demonstrate the effectiveness of the proposed techniques.

On Phase and Anti-Phase Combination Synchronization of Time Delay Nonlinear Systems

2018 ◽  
Vol 13 (11) ◽  
Author(s):  
Gamal M. Mahmoud ◽  
Ayman A. Arafa ◽  
Emad E. Mahmoud
Keyword(s):  
Time Delay ◽  
Phase Difference ◽  
Phase Synchronization ◽  
Control Technique ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Combination Synchronization ◽  
Phase Combination ◽  
Response Systems ◽  
Control Forces

Extensive studies have been done on the phenomenon of phase and anti-phase synchronization (APS) between one drive and one response systems. As well as, combination synchronization for chaotic and hyperchaotic systems without delay also has been investigated. Thus, this paper aims to introduce the concept of phase and anti-phase combination synchronization (PCS and APCS) between two drive and one response time delay systems, which are not studied in the literature as far as we know. The analysis of PCS and APCS are carried out using active control technique. An example is given to test the validity of the expressions of control forces to achieve the PCS and APCS of time delay systems. This example is between three different systems. When there is no control, the PCS does not occur where the phase difference is unbounded. The bounded phase difference appears when the control is applied which means that PCS is achieved. The special case which is the combination synchronization is studied as well.

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