scholarly journals Design of Constructive Controller of Nonlinear System Based on Polynomial Function Growth Condition and Its Application in Deep Subsea Energy Mining and Production Control System

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Longchuan Guo ◽  
Chuanping Zhou ◽  
Xiaoqing Tian ◽  
Huawei Ji ◽  
Yudong Peng
Keyword(s):  
Control System ◽  
Nonlinear System ◽  
Control Problem ◽  
Growth Condition ◽  
Output Feedback ◽  
Controller Design ◽  
Polynomial Function ◽  
Growth Conditions ◽  
Simulation Software ◽  
Tracking Controller

This paper mainly studies the output feedback control problem of the stochastic nonlinear system based on loose growth conditions and applies the research results to the valve control system of underwater oil and gas pipelines, which can improve the speed and stability of the equipment system. First, the concept of randomness is introduced to study the actual tracking control problem of output feedback of stochastic nonlinear systems, remove the original harsher growth conditions, make it meet the more general polynomial function growth conditions, and propose a combination of static and dynamic output feedback practices. The design of the tracking controller makes all the states of the system meet boundedness and ensures that the tracking error of the system converges to a small neighborhood of zero. Second, the system is extended to the parameter-uncertain system, and the output feedback tracking controller with complete dynamic gain is constructed by proving the boundedness of the system state and gain. Further, the time-delay factor is introduced, and the nonlinear term of the system satisfies the more relaxed power growth condition, combined with the inverse method to cleverly construct a set of Lyapunov functions and obtain the output controller to ensure that the system is asymptotically probabilistic in the global scope. Stability. Finally, through the ocean library in the Simulation X simulation software, the controller design results are imported into the underwater electro-hydraulic actuator model to verify the effectiveness of the controller design.

scholarly journals Adaptive Output Feedback Tracking Controller Design of Stochastic Nonlinear Systems with Parameter Uncertainty for Polynomial Function Growth Conditions

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Long-Chuan Guo
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
Polynomial Function ◽  
Tracking Error ◽  
Parametric Uncertainty ◽  
Growth Conditions ◽  
Stochastic Nonlinear Systems ◽  
Tracking Controller ◽  
Feedback Tracking

This paper mainly focuses on output feedback practical tracking controller design for stochastic nonlinear systems with polynomial function growth conditions. Mostly, there are some studies on output feedback tracking control problem for general nonlinear systems with parametric certainty in existing achievements. Moreover, we extend it to stochastic nonlinear systems with parametric uncertainty and system nonlinear terms are assumed to satisfy polynomial function growth conditions which are more relaxed than linear growth conditions or power growth conditions. Due to the presence of unknown parametric uncertainty, an output feedback practical tracking controller with dynamically updated gains is constructed explicitly so that all the states of the closed-loop systems are globally bounded and the tracking error belongs to arbitrarily small interval after some positive finite time. An example illustrates the efficiency of the theoretical results.

Switched Tracking Controller Design for Uncertain Systems

2010 ◽  
Author(s):  
Ehsan Azadi Yazdi ◽  
Ryozo Nagamune
Keyword(s):  
Output Feedback ◽  
Uncertain Systems ◽  
Optimization Problem ◽  
Controller Design ◽  
Dynamic Output Feedback ◽  
Robust Controller ◽  
Output Feedback Controller ◽  
Tracking Controller ◽  
Dynamic Output Feedback Controller ◽  
The Cost

In this paper, a problem of designing a switched tracking dynamic output-feedback controller for uncertain systems is considered. The design problem amounts to solving an optimization problem, the cost function of which is neither smooth nor convex. By applying the proposed method to a nominal switched controller design methods, we designed a switched robust controller. Advantages of the method demonstrated through an example.

scholarly journals Backstepping Output Feedback Control for the Stochastic Nonlinear System Based on Variable Function Constraints with the Subsea Intelligent Electroexecution Robot System

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Long-Chuan Guo ◽  
Jing Ni ◽  
Jing-Biao Liu ◽  
Xiang-Kun Fang ◽  
Qing-Hua Meng ◽  
...  
Keyword(s):  
Nonlinear System ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Growth Conditions ◽  
Stochastic Nonlinear Systems ◽  
Globally Asymptotically Stable ◽  
Output Stabilization ◽  
Stochastic Nonlinear System ◽  
Variable Function ◽  
Scaling Process

The output feedback controller is designed for a class of stochastic nonlinear systems that satisfy uncertain function growth conditions for the first time. The multivariate function growth condition has greatly relaxed the restrictions on the drift and diffusion terms in the original stochastic nonlinear system. Here, we cleverly handle the problem of uncertain functions in the scaling process through the function maxima theory so that the Ito differential system can achieve output stabilization through Lyapunov function design and the solution of stochastic nonlinear system objects satisfies the existence of uniqueness, ensuring that the system is globally asymptotically stable in the sense of probability. Furthermore, it is concluded that the system is inversely optimally stable in the sense of probability. Finally, we apply the theoretical results to the practical subsea intelligent electroexecution robot control system and obtain good results.

scholarly journals Control of Stochastic Nonlinear Switched Systems using Fuzzy Law

2021 ◽  
Vol 2050 (1) ◽  
pp. 012015
Author(s):  
Hong Yang ◽  
Yu Zhang ◽  
Chao Yang ◽  
Le Zhang
Keyword(s):  
Nonlinear System ◽  
Switched Systems ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Simulation Software ◽  
Switching Law ◽  
Nonlinear Switched Systems ◽  
Switched Nonlinear System ◽  
The Stability ◽  
Necessary And Sufficient

Abstract The problem about controller design for stochastic nonlinear switched systems with delay is considered. Stochastic switched nonlinear system is a kind of nonlinear system which integrates switching and nonlinear fuzzy characteristics and can fully reflect stochastic factors. First, the mathematical model of stochastic nonlinear switched systems with time delay and disturbance is given. Second, the corresponding controller is designed for the proposed model. Then, we use the multi-Lyapunov method to establish the closed-loop system on the basis of our designed controller, and give the necessary and sufficient conditions for the stability of the system. The switching law is designed to ensure the stability of subsystems activated by switching time. Finally, through the simulation software, we can see that the stability condition we obtained can make the studied system stable.

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