Sliding mode adaptive following of nonlinear plants with unknown state delay

2008 ◽  
Author(s):  
Boris Mirkin ◽  
Per-Olof Gutman ◽  
Yuri Shtessel
Keyword(s):  
Sliding Mode ◽  
State Delay ◽  
Unknown State ◽  
Nonlinear Plants

Sliding Mode Control for a Minimum Phase Unstable Second Order System

2014 ◽  
Vol 573 ◽  
pp. 285-290 ◽  
Author(s):  
B. Senthil Kumar ◽  
K.Suresh Manic
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Second Order ◽  
Stirred Tank ◽  
Order System ◽  
Minimum Phase ◽  
Robust Controller ◽  
Mode Control ◽  
Linear And Nonlinear ◽  
Nonlinear Plants

Sliding Mode Control is a robust Controller for Linear and Nonlinear plants where uncertainty in the model exists.Convetional controllers such as PID, Lead-lag Compensators do not to compensate for the uncertainties due to modeling and rejection to either matched or unmatched disturbances .The proposed method for controlling Unstable Second Order System with a zero by padmashree et al2 is taken from the literature for a Jacketed Continous Stirred-Tank Reactor.Introduction

Adaptive Sliding Mode Tracking of Nonlinear Plants With Multiple Unknown Time-Varying State Delays

2008 ◽  
Author(s):  
Boris Mirkin ◽  
Per-Olof Gutman ◽  
Yuri Shtessel
Keyword(s):  
Dynamic Systems ◽  
Sliding Mode ◽  
External Disturbance ◽  
Nonlinear Dynamic Systems ◽  
Multiple Time ◽  
Time Varying ◽  
State Delays ◽  
Nonlinear Plants ◽  
Model Reference Adaptive ◽  
Mode Tracking

In this paper, we develop a sliding mode model reference adaptive control (MRAC) scheme for a class of nonlinear dynamic systems with multiple time-varying state delays which is robust with respect to unknown plant delays, to a nonlinear perturbation, and to an external disturbance with unknown bounds. An appropriate Lyapunov-Krasovskii type functional is introduced to design the adaptation algorithms, and to prove stability.

Delay-independent sliding mode control of time-delay linear fractional order systems

2016 ◽  
Vol 40 (4) ◽  
pp. 1212-1222 ◽  
Author(s):  
M Yousefi ◽  
T Binazadeh
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Control Law ◽  
State Delay ◽  
New Approach ◽  
Mode Control ◽  
Sliding Manifold ◽  
Theoretical Results

This paper considers the problem of delay-independent stabilization of linear fractional order (FO) systems with state delay. As in most practical systems in which the value of delay is not exactly known (or is time varying), a new approach is proposed in this paper, which results in asymptotic delay-independent stability of the closed-loop time-delay FO system. For this purpose, a novel FO sliding mode control law is proposed in which its main advantage is its independence to delay. Furthermore, a novel appropriate delay-independent sliding manifold is suggested. Additionally, two theorems are given and proved, which guarantee the occurrence of the reaching phase in finite time and the asymptotic delay-independent stability conditions of the dynamic equations in the sliding phase. Finally, in order to verify the theoretical results, two examples are given and simulation results confirm the performance of the proposed controller.

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