scholarly journals Design of Feedback Control for Networked Finite-Distributed Delays Systems with Quantization and Packet Dropout Compensation

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Wen-Chiung Hsu ◽  
Lian-Wang Lee ◽  
Kuan-Hsuan Tseng ◽  
Chien-Yu Lu ◽  
Chin-Wen Liao ◽  
...  
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Closed Loop ◽  
Design Method ◽  
Feedback Controller ◽  
Distributed Delays ◽  
Packet Dropout ◽  
System State ◽  
Closed Loop System ◽  
Output Feedback Controller

This paper investigates the feedback control for networked discrete-time finite-distributed delays with quantization and packet dropout, and systems induce theH∞control problem. The compensation scheme occurs in a random way. The quantization of system state or output signal is in front of being communicated. It is shown that the design of both a state feedback controller and an observer-based output feedback controller can be achieved, which ensure the asymptotical stability as well as a prescribedH∞performance of the resulting closed-loop system satisfying dependence on the size of the discrete and distributed delays. Numerical examples are given to illustrate the effectiveness and applicability of the design method in this paper.

scholarly journals Stability of a Class of Stochastic Nonlinear Systems with Markovian Switching

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Xiaohua Liu ◽  
Wuquan Li
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Design Method ◽  
Feedback Controller ◽  
Markovian Switching ◽  
Stochastic Nonlinear Systems ◽  
Closed Loop System ◽  
Output Feedback Controller ◽  
The Stability

This paper investigates the stability of a class of stochastic nonlinear systems with Markovian switching via output-feedback. Based on the backstepping design method and homogeneous domination technique, an output-feedback controller is constructed to guarantee that the closed-loop system has a unique solution and is almost surely asymptotically stable. The efficiency of the output-feedback controller is demonstrated by a simulation example.

scholarly journals A Time-Varying Gain Design Method for State Feedback Control of Upper Triangular Nonlinear Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Yanmin Yin
Keyword(s):  
Feedback Control ◽  
Nonlinear Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Nonlinear Term ◽  
Design Method ◽  
State Feedback Control ◽  
Time Varying ◽  
Closed Loop System ◽  
Incremental Rate

In this paper, a time-varying gain design method is used to investigate the state feedback control problem of upper triangular nonlinear systems. Firstly, the nonlinear term recognizes an incremental rate relying on the unknown constant and the function with respect to time. Then, a time-varying gain design method is utilized to construct a state feedback controller. With the help of a suitable coordinate transformation and a Lyapunov function, one obtains that all the signals of the closed-loop system converge to zero. Finally, two numerical examples are presented to display the effectiveness of the time-varying gain design method.

Design of Output Feedback Controller for Switched Fuzzy Systems with Time-Delay

2014 ◽  
Vol 635-637 ◽  
pp. 1443-1446
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Time Delay ◽  
Output Feedback ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Closed Loop System ◽  
Output Feedback Controller ◽  
And Control

This paper investigates the problems of stabilization and control for time-delay switched fuzzy systems using output feedback controller. Based on the linear matrix inequality (LMI) technique, multiple Lyapunov method is used to obtain a sufficient condition for the existence of the controller for the output feedback. Then an algorithm is constructed to transform the sufficient condition into a LMI form, thus obtaining a method for designing the controller. The designed controller guarantees the closed-loop system to be asympototically stable. A numerical example is given to show the effectiveness of our method.

scholarly journals The Hinf Model Following Control: An LMI Approach

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Control Problem ◽  
Output Feedback ◽  
Closed Loop ◽  
Feedback Controller ◽  
Dynamic Output Feedback ◽  
Closed Loop System ◽  
Output Feedback Controller ◽  
Model Following Control ◽  
Model Following ◽  
Dynamic Output Feedback Controller

The aim of this paper is to develop a new approach for a solution of the model following control (MFC) problem with a dynamic compensator by using linear matrix inequalities (LMIs). TheH1 model following control problem is derived following LMI formulation. First, the H1 optimal control problem is revisited by referring to Lemmas assuring all admissible controllers minimizing the H1 norm of the transfer function between the exogenous inputs and the outputs. Then, the solvability condition and a design procedure for a two degrees of freedom (2 DOF) dynamic feedback control law is introduced. The existence of a 2 DOF dynamic output feedback controller for the model following control is proven and the stability of the closed-loop system is satisfied by assuring the Hurwitz condition. The benchmark thermal process (PT-326) as the first order process with timedelay is regulated by the presented 2 DOF dynamic output feedback controller. The simulation results illustrate that the presented controller regulates a system with dead-time as a large set of generic industrial systems and the H1 norm of the closed-loop system is assured less than the H1 norm of the desired model system.

scholarly journals On the Practical Output Feedback Stabilization for Nonlinear Uncertain Systems

2009 ◽  
Vol 14 (2) ◽  
pp. 145-153 ◽  
Author(s):  
A. Benabdallah
Keyword(s):  
Output Feedback ◽  
Uncertain Systems ◽  
Closed Loop ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Practical Stability ◽  
Closed Loop System ◽  
Output Feedback Controller ◽  
Output Feedback Stabilization ◽  
Nonlinear Uncertain Systems

In this paper, we treat the problem of output feedback stabilization of nonlinear uncertain systems. We propose an output feedback controller that guarantees global uniform practical stability of the closed loop system.

State feedback stabilization for nonlinear systems with more general high-order terms

2018 ◽  
Vol 41 (3) ◽  
pp. 615-620
Author(s):  
Tiancheng Wang ◽  
Shi Zheng ◽  
Wuquan Li
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Design Method ◽  
High Order ◽  
The State ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Closed Loop System ◽  
Globally Asymptotically Stable ◽  
State Feedback Controller

This paper aims to solve the state feedback stabilization problem for a class of high-order nonlinear systems with more general high-order terms. Based on the backstepping design method and Lyapunov stability theorem, a state feedback controller is constructed to ensure that the origin of the closed-loop system is globally asymptotically stable. The efficiency of the state feedback controller is demonstrated by a simulation example.

Observer-based event-triggered H∞ control for asynchronous switched delay systems

2020 ◽  
Vol 42 (12) ◽  
pp. 2254-2261
Author(s):  
Yang Yang ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Economic Losses ◽  
System State ◽  
Closed Loop System ◽  
Lyapunov Function Method ◽  
Signal Method ◽  
Event Triggered

In this paper, the [Formula: see text] performance of observer-based asynchronous linear switched delay systems with an event-triggered sampling scheme is considered. Firstly, owing to the system state cannot be measured completely in practice, a state feedback observer is used to reconstruct the system state. Next, we design an event-triggered sampling mechanism, under which the sample of the system only occur when the error exceeds a predetermined threshold, so it will reduce economic losses. Then, considering the asynchronous switching between the subsystems and the controllers, some sufficient conditions are proposed by using merging switching signal method and multiple Lyapunov function method to ensure the [Formula: see text] performance of the asynchronous closed-loop system. Finally, a numerical example is given to illustrate the validity of the results.

Controller Design for See-Saw Systems

2014 ◽  
Vol 898 ◽  
pp. 680-683
Author(s):  
Hai Yan Wang
Keyword(s):  
Control Theory ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
The State ◽  
Feedback Controller ◽  
System Model ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
State Feedback Controller

The control theory has widely application in many fields such as industrial and agricultural. A class of see-saw system model will be studied in this paper. Using the theory of pole assignment, we will design the state feedback controller, such that the closed-loop system is asymptotically stable. At the same time, using the tool of MATLAB, the model of closed see-saw system will be simulated and analyzed. It reveals the state regularity of see-saw system.

scholarly journals l1-Induced State-Feedback Controller Design for Positive Fuzzy Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Xiaoming Chen ◽  
Mou Chen ◽  
Jun Shen
Keyword(s):  
Fuzzy Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Closed Loop System ◽  
State Feedback Controller ◽  
Takagi Sugeno ◽  
Theoretical Results

The problem ofl1-induced state-feedback controller design is investigated for positive Takagi-Sugeno (T-S) fuzzy systems with the use of linear Lyapunov function. First, a novel performance characterization is established to guarantee the asymptotic stability of the closed-loop system withl1-induced performance. Then, the sufficient conditions are presented to design the required fuzzy controllers and iterative convex optimization approaches are developed to solve the conditions. Finally, one example is presented to show the effectiveness of the derived theoretical results.

Sign in / Sign up

Export Citation Format

Share Document