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 Globally Asymptotic Stability of Stochastic Nonlinear Systems by the Output Feedback

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Wenwen Cheng ◽  
Quanxin Zhu ◽  
Zhangsong Yao
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Stability ◽  
Output Feedback ◽  
Design Method ◽  
Output Feedback Control ◽  
Stochastic Nonlinear Systems ◽  
Closed Loop System ◽  
Globally Asymptotically Stable ◽  
Globally Asymptotic Stability ◽  
Dynamic Output Feedback Controller

We address the problem of the globally asymptotic stability for a class of stochastic nonlinear systems with the output feedback control. By using the backstepping design method, a novel dynamic output feedback controller is designed to ensure that the stochastic nonlinear closed-loop system is globally asymptotically stable in probability. Our way is different from the traditional mathematical induction method. Indeed, we develop a new method to study the globally asymptotic stability by introducing a series of specific inequalities. Moreover, an example and its simulations are given to illustrate the theoretical result.

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 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.

Adaptive output feedback control for a class of uncertain stochastic nonlinear systems

2021 ◽  
pp. 095965182110212
Author(s):  
Ce Liu ◽  
Junyong Zhai
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
Output Feedback Control ◽  
Feedback Controller ◽  
Stochastic Nonlinear Systems ◽  
Adding A Power Integrator ◽  
Output Feedback Controller ◽  
Barbalat’S Lemma ◽  
System States

This article concentrates on the output feedback controller design for a class of stochastic nonlinear systems with unknown homogeneous growth rates. First, a full-order observer is proposed coupling with a dynamic gain so as to obtain system state estimates. Then, an adaptive output feedback controller is put forward by the homogeneity theory and adding a power integrator technique. Combined with the stochastic Barbalat’s lemma, the signals of the closed-loop system are demonstrated to be bounded and all the system states are proved to converge to the origin in probability. Besides, the results are also expanded to the controller design of upper-triangular stochastic nonlinear system. Two simulation results indicate usefulness of the designed control algorithm.

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.

scholarly journals Global Adaptive Control of Stochastic Nonlinear Systems with Linearly Bounded Unmeasurable States by Output Feedback

2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Qiangde Wang ◽  
Chunling Wei
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Inverse Dynamics ◽  
Growth Conditions ◽  
Loop System ◽  
Stochastic Nonlinear Systems ◽  
Nonlinear Functions ◽  
Closed Loop System ◽  
Stochastic Stabilization

The problem of the output feedback stochastic stabilization is investigated for a class of stochastic nonlinear systems with linearly bounded unmeasurable states. Under the condition that the inverse dynamics is stochastic input-to-state stable and the nonlinear functions satisfy the linear growth conditions with unknown growth rate, an adaptive output feedback controller is proposed to make the closed-loop system globally stable in probability and the states of the closed-loop system converge to zero almost surely. A simulation example is provided to show the effectiveness of the theoretical results.

scholarly journals Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output function and unknown growth rates

2021 ◽  
Author(s):  
Ce Liu ◽  
Junyong Zhai
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
High Order ◽  
Feedback Controller ◽  
Stochastic Nonlinear Systems ◽  
Output Function ◽  
Globally Asymptotically Stable ◽  
Adding A Power Integrator ◽  
Output Feedback Controller

Abstract This paper concentrates on the adaptive output feedback controller design for a class of high-order stochastic nonlinear systems(SNSs) with uncertain output function. Firstly, a homogeneous output feedback controller for the nominal system is designed through the technique of adding a power integrator. Secondly, a well-designed dynamic gain is introduced into the controller to ensure the original SNSs globally asymptotically stable(GAS) in probability. Besides, the proposed control strategy can be also extended to upper-triangular SNSs. Finally, two numerical examples illustrate the effectiveness of the proposed method.

scholarly journals Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Liu Jianwei ◽  
Guo Longchuan ◽  
Zuo Xin ◽  
Liang Huaqing
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Growth Conditions ◽  
High Gain ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Stochastic Nonlinear Systems ◽  
Control Effort ◽  
Globally Asymptotically Stable ◽  
Output Feedback Controller

This paper investigates the problem of output-feedback stabilization for a class of stochastic nonlinear systems in which the nonlinear terms depend on unmeasurable states besides measurable output. We extend linear growth conditions to power growth conditions and reduce the control effort. By using backstepping technique, choosing a high-gain parameter, an output-feedback controller is designed to ensure the closed-loop system to be globally asymptotically stable in probability, and the inverse optimal stabilization in probability is achieved. The efficiency of the output-feedback controller is demonstrated by a simulation example.

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