Explicit Construction of Global Stabilization Control Law for a Class of Nonminimum Phase Nonlinear Multivariable Systems

2007 ◽  
Author(s):  
Weiyao Lan ◽  
Ben M. Chen ◽  
Frank L. Lewis
Keyword(s):  
Explicit Construction ◽  
Control Law ◽  
Multivariable Systems ◽  
Global Stabilization ◽  
Nonminimum Phase ◽  
Stabilization Control

scholarly journals New Results of Global Exponential Stabilization for BLDCMs System

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Fengxia Tian ◽  
Fangchao Zhen ◽  
Guopeng Zhou ◽  
Xiaoxin Liao
Keyword(s):  
Convergence Rate ◽  
Direct Current ◽  
Exponential Convergence ◽  
Exponential Stabilization ◽  
Control Law ◽  
Global Stabilization ◽  
Feedback Controllers ◽  
Global Exponential Stabilization ◽  
Simple Feedback ◽  
Brushless Direct Current Motor

The global exponential stabilization for brushless direct current motor (BLDCM) system is studied. Four linear and simple feedback controllers are proposed to realize the global stabilization of BLDCM with exponential convergence rate; the control law used in each theorem is less conservative and more concise. Finally, an example is given to demonstrate the correctness of the proposed results.

scholarly journals Global Asymptotic Stabilization Control for a Class of Nonlinear Systems with Dynamic Uncertainties

2015 ◽  
Vol 2015 ◽  
pp. 1-12
Author(s):  
Jiangbo Yu ◽  
Jizhong Wang ◽  
Zhongcai Zhang
Keyword(s):  
Nonlinear Systems ◽  
Controller Design ◽  
Initial Conditions ◽  
Design Procedure ◽  
Control Law ◽  
Asymptotic Stabilization ◽  
Control Approach ◽  
Global Asymptotic Stabilization ◽  
Stabilization Control ◽  
Dynamic Uncertainties

This paper is concerned with the global asymptotic stabilization control problem for a class of nonlinear systems with input-to-state stable (ISS) dynamic uncertainties and uncertain time-varying control coefficients. Unlike the existing works, the ISS dynamic uncertainty is characterized by the uncertain supply rates. By using the backstepping control approach, a systematic controller design procedure is developed. The designed control law can guarantee that the system states are asymptotically regulated to the origin from any initial conditions and the other signals are bounded in closed-loop systems. Moreover, it is shown that, under some additional conditions, a linear control law can be designed by the proposed methodology. The simulation example demonstrates its effectiveness.

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