scholarly journals Fast Sampling Control of Singularly Perturbed Systems with Actuator Saturation andL2Disturbance

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Yanzi Miao ◽  
Lei Ma ◽  
Xiaoping Ma ◽  
Linna Zhou
Keyword(s):  
Disturbance Rejection ◽  
State Feedback ◽  
Actuator Saturation ◽  
Optimization Problems ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Convex Optimization Problems ◽  
Perturbed Systems ◽  
Disturbance Tolerance

We will consider the problem of fast sampling control for singularly perturbed systems subject to actuator saturation andL2disturbance. A sufficient condition for the existence of a state feedback controller is proposed. Under this controller, the boundedness of the trajectories in the presence ofL2disturbances is guaranteed for any singular perturbation parameter less than or equal to a predefined upper bound. To improve the capacity of disturbance tolerance and disturbance rejection, two convex optimization problems are formulated. Finally, a numerical example is presented to demonstrate the effectiveness of the main results of this paper.

Discrete-Time Nonlinear Singularly Perturbed System Identification Using Coupled Multimodel Representation

2020 ◽  
Vol 143 (2) ◽  
Author(s):  
Asma Ben Rajab ◽  
Nesrine Bahri ◽  
Majda Ltaief
Keyword(s):  
Discrete Time ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
System Model ◽  
Model Parameters ◽  
Singularly Perturbed Systems ◽  
Perturbed System ◽  
Marquardt Algorithm ◽  
Perturbed Systems ◽  
Full Knowledge

Abstract Many control and observability theories for singularly perturbed systems require the full knowledge of system model parameters exceptionally if the system is considered as black box. To overcome this problem and to obtain an accurate and faithful model, this paper describes a new identification method for discrete-time nonlinear singularly perturbed systems (NLSPS) using the coupled state multimodel representation. The Levenberg–Marquardt algorithm is used to identify not only the submodels parameters but also the perturbation parameter ε. Two cases are considered to identify these systems. The first one supposes that the perturbation parameter ε of the real system is known and thus only the submodels parameters are identified. The second case supposes that this perturbation parameter is unknown and has to be identified with the other submodels parameters. The simulation example demonstrates the effectiveness of the proposed identification.

scholarly journals Diagnosis of Discrete-Time Singularly Perturbed Systems Based on Slow Subsystem

2014 ◽  
Vol 8 (4) ◽  
pp. 175-180 ◽  
Author(s):  
Adel Tellili ◽  
Nouceyba Abdelkrim ◽  
Bahaa Jaouadi ◽  
Mohamed Naceur Abdelkrim
Keyword(s):  
Discrete Time ◽  
Diagnostic Algorithm ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Order System ◽  
Singularly Perturbed Systems ◽  
Perturbed Systems ◽  
Parity Space ◽  
The One ◽  
Slow Subsystem

Abstract This paper deals with the diagnosis of discrete-time singularly perturbed systems presenting two time scales property. Parity space method is considered to generate the fault detection residual. The focus is in two directions. First, we discuss the residual illconditioning caused by the singular perturbation parameter. Then, the use of the slow subsystem is considered to make the fault diagnosis easier. It is shown that the designed diagnostic algorithm based on reduced order model is close to the one synthesized using the full order system. The developed approach aims at reducing the computational load and the ill-conditioning for stiff residual generation problem. Two examples of application are used to demonstrate the efficiency of the proposed method.

scholarly journals Passive Control andε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Linna Zhou ◽  
Chunyu Yang
Keyword(s):  
Singular Perturbation ◽  
Passive Control ◽  
Controller Design ◽  
Design Method ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Storage Function ◽  
Rlc Circuit ◽  
Perturbed Systems

This paper considers the problems of passivity analysis and synthesis of singularly perturbed systems with nonlinear uncertainties. By a novel storage function depending on the singular perturbation parameterε, a new method is proposed to estimate theε-bound, such that the system is passive when the singular perturbation parameter is lower than theε-bound. Furthermore, a controller design method is proposed to achieve a predefinedε-bound. The proposed results are shown to be less conservative than the existing ones because the adopted storage function is more general. Finally, an RLC circuit is presented to illustrate the advantages and effectiveness of the proposed methods.

scholarly journals On Output Feedback Multiobjective Control for Singularly Perturbed Systems

2011 ◽  
Vol 2011 ◽  
pp. 1-28
Author(s):  
Mehdi Ghasem Moghadam ◽  
Mohammad Taghi Hamidi Beheshti
Keyword(s):  
Numerical Simulations ◽  
Output Feedback ◽  
Design Procedure ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Dynamic Output Feedback ◽  
Singularly Perturbed Systems ◽  
Dynamic Output ◽  
Perturbed Systems ◽  
And Performance

A new design procedure for a robust and control of continuous-time singularly perturbed systems via dynamic output feedback is presented. By formulating all objectives in terms of a common Lyapunov function, the controller will be designed through solving a set of inequalities. Therefore, a dynamic output feedback controller is developed such that and performance of the resulting closed-loop system is less than or equal to some prescribed value. Also, and performance for a given upperbound of singular perturbation parameter are guaranteed. It is shown that the -dependent controller is well defined for any and can be reduced to an -independent one so long as is sufficiently small. Finally, numerical simulations are provided to validate the proposed controller. Numerical simulations coincide with the theoretical analysis.

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