Robust Adaptive Stabilization of Switched Higher-Order Planar Nonlinear Systems with Unknown Time-Varying Delays

2018 ◽  
Author(s):  
Shuai Yuan ◽  
Lixian Zhang ◽  
Fan Zhang ◽  
Yiming Wan ◽  
Simone Baldi
Keyword(s):  
Nonlinear Systems ◽  
Higher Order ◽  
Time Varying ◽  
Adaptive Stabilization ◽  
Robust Adaptive

Robust Adaptive Control of Nonlinear Systems with Uncertainties

2014 ◽  
Vol 568-570 ◽  
pp. 1108-1112
Author(s):  
Ning Liu ◽  
Yu Sheng Liu ◽  
Qiang Yang
Keyword(s):  
Nonlinear Systems ◽  
Tracking Error ◽  
Robust Adaptive Control ◽  
Design Parameters ◽  
Unmodeled Dynamics ◽  
Time Varying ◽  
Mean Square ◽  
Robust Controller ◽  
The Mean ◽  
Robust Adaptive

This paper proposes a robust adaptive robust controller for nonlinear systems represented by input-output models with unmodeled dynamics. Under the circumstances that the output of the system is bounded, the proposed controller can guarantee that all the variables of the system are bounded in the presence of unmodeled dynamics and time-varying disturbances. The scheme does not need to generate an additional dynamic signal to dominate the effects of the unmodeled dynamics. It is shown that the mean-square tracking error can be made arbitrarily small by choosing some design parameters appropriately.

Robust Adaptive Control of Mildly Nonlinear Systems With Time Varying Input/Output Delays

2012 ◽  
Author(s):  
James P. Nelson ◽  
Mark J. Balas ◽  
Richard S. Erwin
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Adaptive Controller ◽  
Robust Adaptive Control ◽  
Control Law ◽  
Time Varying ◽  
Robust Adaptive ◽  
Input Delays ◽  
Persistent Disturbances ◽  
Adaptive Control Law

Many systems must operate in the presence of delays both internal to the system and in its inputs and outputs. In this paper we present a robustness result for mildly nonlinear systems. We use this result to show that, for small unknown time varying input delays, a simple adaptive controller can produce output regulation to a neighborhood with radius dependent upon the size of an upper bound on the delay. This regulation occurs in the presence of persistent disturbances and the convergence is exponential. We conclude with an example to illustrate the behavior of this adaptive control law.

Robust Adaptive Fuzzy Control of Nonlinear Systems with Unknown and Time-Varying Saturation

2014 ◽  
Vol 17 (3) ◽  
pp. 791-805 ◽  
Author(s):  
Guanyu Lai ◽  
Zhi Liu ◽  
Yun Zhang ◽  
Xin Chen ◽  
Chun Lung Philip Chen
Keyword(s):  
Nonlinear Systems ◽  
Fuzzy Control ◽  
Adaptive Fuzzy Control ◽  
Time Varying ◽  
Adaptive Fuzzy ◽  
Robust Adaptive
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