scholarly journals Periodic Switched Control of Dual-Rate Sampled-Data Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-16
Author(s):  
Dawei Zhang ◽  
Wei Bai ◽  
Xinchun Jia
Keyword(s):  
Design Method ◽  
Switched System ◽  
Data Systems ◽  
State Variables ◽  
Sampled Data ◽  
Data Control ◽  
Switched Control ◽  
Rate Design ◽  
Input Delays ◽  
Delay Dependent

This paper is concerned with the periodic switched control of a linear dual-rate sampled-data system. The state variables of the continuous-time plant are sampled by two types of sensors. The ratio of two sampling rates is assumed to be a rational number. Depending on whether the sampled-data of state variables at two sampling rates is available simultaneously or separately, a periodic switched controller is constructed. Applying an input delay approach, the closed-loop system is modeled as a switched system with subsystems having different input delays. Some delay-dependent criteria for theH∞performance of the switched system and the existence of the switched controller are derived by employing a Lyapunov-Krasovskii functional that includes information about two sampling periods. The dual-rate sampled-data control of a vehicle dynamic system is given to show that the proposed method is effective and it can achieve a betterH∞control performance than the single-rate design method.

A Design Method of TDOF Controller for Sampled-Data Control System: A Method Using Dynamical Model of Feedback Controller

1999 ◽  
Author(s):  
Mitsuo Hirata ◽  
Akiyo Murase ◽  
Takenori Atsumi ◽  
Kenzo Nonami
Keyword(s):  
Control System ◽  
Design Method ◽  
Feedback Controller ◽  
Dynamical Model ◽  
Sampled Data ◽  
System A ◽  
Data Control ◽  
Sampled Data Control ◽  
Model Transfer ◽  
Two Degree Of Freedom

Abstract It has been proposed the design method of the two-degree-of-freedom (TDOF) controller which use the dynamical model of the feedback controller. In this study, we apply this design method to the sampled-data control system. The TDOF controller is obtained so that the output of the TDOF system follows the output of the model transfer function considering the intersample behaviors.

Delay-dependent sampled-data control of LTI systems

2010 ◽  
Vol 43 (19) ◽  
pp. 37-42
Author(s):  
L. Hetel ◽  
J. Daafouz ◽  
M. Jungers ◽  
J.P. Richard
Keyword(s):  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
Delay Dependent

scholarly journals New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Tao Wu ◽  
Jinde Cao ◽  
Lianglin Xiong ◽  
Haiyang Zhang
Keyword(s):  
Stability Condition ◽  
Chaotic Systems ◽  
Transition Rates ◽  
Sampled Data ◽  
Markov Jump ◽  
Data Control ◽  
The Stability ◽  
Generally Uncertain Transition Rates ◽  
Delay Dependent ◽  
Sampling Pattern

This paper investigates the problem of stabilization for semi-Markov chaotic systems with fuzzy sampled-data controllers, in which the semi-Markov jump has generally uncertain transition rates. The exponential stability condition is firstly obtained by the following two main techniques: To make full use of the information about the actual sampling pattern, a novel augmented input-delay-dependent Lyapunov–Krasovskii functional (LKF) is firstly introduced. Meanwhile, a new zero-value equation is established to increase the combinations of component vectors of the resulting vector. The corresponding fuzzy sampled-data controllers are designed based on the stability condition. Finally, the validity and merits of the developed theories are shown by two numerical examples.

H∞ Robust State Feedback Sampled-Data Control of Interval Linear Systems

2020 ◽  
Author(s):  
Rafael M. Alves ◽  
André R. Fioravanti ◽  
Matheus Souza
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Hybrid Systems ◽  
Upper Bound ◽  
State Feedback ◽  
Data Systems ◽  
Sampled Data ◽  
Data Control ◽  
Interval Linear ◽  
Interval Linear Systems

In this paper, we address the H∞ control problem for uncertain sampled-data systems rewritten as hybrid systems. The conditions proposed are formulated as intervals to ensure stability and design controllers that guarantee an upper bound for an associated H∞ norm. A numerical example points out the main features of the proposed method.

H∞ Control of Fuzzy Neutral Systems under Sampled-Data Control

2010 ◽  
Vol 108-111 ◽  
pp. 482-487
Author(s):  
Jun Yang ◽  
Wen Pin Luo ◽  
Gui Hua Li
Keyword(s):  
State Feedback ◽  
Design Method ◽  
Descriptor System ◽  
Sampled Data ◽  
Neutral Systems ◽  
Lmi Approach ◽  
Data Control ◽  
System Method ◽  
Sampled Data Control ◽  
Barbalat Lemma

This paper is concerned with the H∞ sampled-data control for a class of fuzzy neutral systems. Employing Lyapunov-Krasovskii functional, the input delay approach, the descriptor system method, Barbalat lemma and the LMI approach, a design method of sampled-data state feedback controller for the fuzzy neutral systems is proposed.

scholarly journals Chattering-Free Reference Sliding Variable-Based SMC

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Katarzyna Adamiak
Keyword(s):  
Control Method ◽  
Sliding Mode ◽  
Band Width ◽  
Data Systems ◽  
State Variables ◽  
Sampled Data ◽  
Control Scheme ◽  
Chattering Free ◽  
Chattering Elimination ◽  
Selection Of

The paper addresses the problem of chattering elimination in sliding mode control for sampled data dynamical systems and proposes an innovative control scheme. The key to the proposed control method is utilizing a pregenerated nonswitching type reference sliding variable profile to control the disturbed plant. As sampled data systems contain sample-and-hold devices in their input and output channels, we carry out a discrete time analysis. We consider the discretization effects on the controller in two aspects: the pace of convergence of the system and the ultimate band width. Consequently, in the reference sliding variable generator, we analyse two reaching laws, differently adapting to changes of the controller’s frequency. We prove that this approach not only minimizes the chattering phenomenon but also provides a reduction of the quasi-sliding mode band width, which in general case remains of O(T) order. Furthermore, the proposed control method incorporates a disturbance compensation algorithm, which results in the ultimate band width of O(T2) order. Finally, we also show that a certain selection of the sliding plane guarantees limitation of all the state variables’ errors to O(T2) order as well. Therefore, the proposed control algorithm significantly improves the system’s robustness.

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