Online adaptive controller design of partially unknown nonlinear systems with state time-delay via actor-critic architecture

2017 ◽  
Author(s):  
Yuling Liang ◽  
Huaguang Zhang ◽  
Shaoxin Sun ◽  
He Jiang
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Controller Design ◽  
Adaptive Controller ◽  
State Time

scholarly journals Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-Approximation

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Huanqing Wang ◽  
Xiaoping Liu ◽  
Qi Zhou ◽  
Hamid Reza Karimi
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Controller Design ◽  
Tracking Error ◽  
Small Neighborhood ◽  
Adaptive Controller ◽  
Stochastic Nonlinear Systems ◽  
Fuzzy Logic Systems ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

The problem of fuzzy-based direct adaptive tracking control is considered for a class of pure-feedback stochastic nonlinear systems. During the controller design, fuzzy logic systems are used to approximate the packaged unknown nonlinearities, and then a novel direct adaptive controller is constructed via backstepping technique. It is shown that the proposed controller guarantees that all the signals in the closed-loop system are bounded in probability and the tracking error eventually converges to a small neighborhood around the origin in the sense of mean quartic value. The main advantages lie in that the proposed controller structure is simpler and only one adaptive parameter needs to be updated online. Simulation results are used to illustrate the effectiveness of the proposed approach.

Adaptive Controller Design for a Class of Discrete Nonlinear Systems

2012 ◽  
Vol 182-183 ◽  
pp. 1260-1264
Author(s):  
Xiao Chun Lou
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Controller Design ◽  
Discrete Systems ◽  
Adaptive Controller ◽  
Discrete Time System ◽  
Time System ◽  
New Form ◽  
Discrete Nonlinear Systems ◽  
Nonlinear Discrete Systems

In this paper, we have discussed the adaptive controller problem for a class of nonlinear discrete systems. Firstly, the general nonlinear discrete-time system is transformed into a new form which is more suitable for adaptive controller design. Based on the new model, the observer is proposed to estimate the unavailable states. The adaptive controller is designed to track the desired trajectory.

scholarly journals Distributed Optimal Control for a Class of Switched Nonlinear Systems with the State Time Delay

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Yuxing Duan ◽  
Baili Su
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Nonlinear Systems ◽  
Control Method ◽  
The State ◽  
Switched Nonlinear Systems ◽  
Distributed Optimal Control ◽  
Switching Sequence ◽  
State Time ◽  
Optimal Control Method

This paper is focused on a kind of distributed optimal control design for a class of switched nonlinear systems with the state time delay which have a prescribed switching sequence. Firstly, we design a bounded controller to make the system stable for each mode of the nominal system. Then, a distributed optimal controller which can satisfy input constraint is designed based on the bounded stabilization controller. A sufficient condition to guarantee ultimate boundedness of the system is given based on appropriate assumption. The significance of this paper is that distributed optimal control method is applied to switched nonlinear systems with the state time delay. Finally, a simulation example is given to verify the effectiveness of the proposed method.

Sampled Data Representation of Nonlinear State Delay System

2012 ◽  
Vol 263-266 ◽  
pp. 179-183
Author(s):  
Qing Liu
Keyword(s):  
Time Delay ◽  
Nonlinear System ◽  
Nonlinear Systems ◽  
Data Representation ◽  
Sampled Data ◽  
Nonlinear Controller ◽  
Time Model ◽  
Finite Dimensional Representation ◽  
State Time ◽  
Delay Phenomenon

A state time delay always exists in practical systems. Analysis of the delay phenomenon in a continuous time domain is sophisticated. It is appropriate to obtain its corresponding discrete time model for implementation via a digital computer. A new method for the discretization of nonlinear systems is proposed in this paper. This method is applied to the sampled data representation of a nonlinear system with constant state time delay. The proposed scheme provides a finite dimensional representation for nonlinear systems with state time delay enabling existing nonlinear controller design techniques to be applied to them. A performance of the proposed method is evaluated using a nonlinear system with state time delay.

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