Practical output tracking of switched nonlinear systems inp-normal form with unstable subsystems

This paper deals with the adaptive neural network (NN) switching control problem for a class of switched nonlinear systems. Radial basis function (RBF) NNs are utilized to approximate the unknown switching control law term which includes a neural network control term, a supervisory control term, and a compensation control term. Also, based on the average dwell-time, a direct adaptive neural switching controller is designed to heighten the robustness of switching system. We can prove to ensure stability of the resulting closed-loop system such that the output tracking performance can be well obtained and all the signals are kept bounded. Simulation results validate the tracking control performance and investigate the effectiveness of the proposed switching control method.

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Neural Networks-Based Adaptive Exponential Quasi-Passification and Output Tracking Control for Uncertain Switched Nonlinear Systems

IEEE Access ◽

10.1109/access.2020.3041071 ◽

2020 ◽

Vol 8 ◽

pp. 221424-221432

Author(s):

Hongbo Pang ◽

Shengnan Tan ◽

Shuo Liu

Keyword(s):

Neural Networks ◽

Nonlinear Systems ◽

Tracking Control ◽

Switched Nonlinear Systems ◽

Output Tracking ◽

Output Tracking Control

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Adaptive output tracking of switched nonlinear systems with unmodeled dynamics

2016 14th International Conference on Control, Automation, Robotics and Vision (ICARCV) ◽

10.1109/icarcv.2016.7838730 ◽

2016 ◽

Author(s):

Zehua Wang ◽

Jie Lian ◽

Dong Wang ◽

Wei Wan

Keyword(s):

Nonlinear Systems ◽

Unmodeled Dynamics ◽

Switched Nonlinear Systems ◽

Output Tracking

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TOWARDS A MODEL-FREE OUTPUT TRACKING OF SWITCHED NONLINEAR SYSTEMS

IFAC Proceedings Volumes ◽

10.3182/20070822-3-za-2920.00083 ◽

2007 ◽

Vol 40 (12) ◽

pp. 504-509 ◽

Cited By ~ 3

Author(s):

Romain BOURDAIS ◽

Michel FLIESS ◽

Cédric JOIN ◽

Wilfrid PERRUQUETTI

Keyword(s):

Nonlinear Systems ◽

Switched Nonlinear Systems ◽

Output Tracking ◽

Model Free

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Exponential Stability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays via an Average Dwell-Time Method

ISRN Mathematical Analysis ◽

10.5402/2012/528259 ◽

2012 ◽

Vol 2012 ◽

pp. 1-18

Author(s):

N. Yotha ◽

T. Botmart ◽

T. Mouktonglang

Keyword(s):

Nonlinear Systems ◽

Exponential Stability ◽

Dwell Time ◽

Sufficient Conditions ◽

Average Dwell Time ◽

Fast Time ◽

Time Varying ◽

Switched Nonlinear Systems ◽

Time Varying Delay ◽

Unstable Subsystems

The problem of exponential stability for a class of switched nonlinear systems with discrete and distributed time-varying delays is studied. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function. We study the stability properties of switched nonlinear systems consisting of both stable and unstable subsystems. Average dwell-time approached and improved piecewise Lyapunov functional combined with Leibniz-Newton are formulated. New delay-dependent sufficient conditions for the exponential stabilization of the switched systems are first established in terms of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method.

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