Robust stabilization of nonlinear uncertain systems in the presence of input unmodeled dynamics

2002 ◽  
Author(s):  
Zhi Wang ◽  
F. Khorrami
Keyword(s):  
Uncertain Systems ◽  
Robust Stabilization ◽  
Unmodeled Dynamics ◽  
Nonlinear Uncertain Systems

On the Robust Stabilization of Nonlinear Uncertain Systems With Incomplete State Availability

2000 ◽  
Vol 122 (4) ◽  
pp. 738-745 ◽  
Author(s):  
G. Bartolini ◽  
A. Pisano ◽  
E. Usai ◽  
A. Levant
Keyword(s):  
Uncertain Systems ◽  
Sliding Mode ◽  
Robust Stabilization ◽  
Control Technique ◽  
Sliding Mode Controller ◽  
Continuous Control ◽  
Nonlinear Uncertain Systems ◽  
The Stability ◽  
Nonlinear Plants ◽  
Second Order Sliding Mode

The control problem of a class of nonlinear uncertain processes with incomplete state availability is dealt with by means of second-order sliding mode control technique. With the aim of using a continuous control, a combined scheme is proposed in which a 2-sliding mode differentiator and a 2-sliding mode controller are coupled. The stability of the whole observer-controller system is proved for a class of nonlinear plants, and some simulation results are finally provided. [S0022-0434(00)02704-0]

Robust Control for Fuzzy Nonlinear Uncertain Systems with Discrete and Distributed Time Delays

2014 ◽  
Vol 69 (10-11) ◽  
pp. 569-580 ◽  
Author(s):  
Rathinasamy Sakthivel ◽  
Ponnusamy Vadivel ◽  
Kalidass Mathiyalagan ◽  
Ju H. Park
Keyword(s):  
Linear Matrix Inequalities ◽  
Time Delays ◽  
Uncertain Systems ◽  
Robust Stabilization ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Parameter Uncertainties ◽  
Distributed Time Delays ◽  
Nonlinear Uncertain Systems

AbstractThis paper addresses the problem of stability and stabilization issue for a class of fuzzy nonlinear uncertain systems with discrete and distributed time delays. By utilizing a new Lyapunov-Krasovskii functional together with free weighting matrix approach, a new set of delay-dependent sufficient conditions are derived which makes the closed loop system robustly asymptotically stable. In particular, the parameter uncertainties are assumed to be norm bounded. Further, a state feedback controller is proposed to guarantee the robust stabilization for uncertain systems and subsequently the controller is constructed in terms of the solution to a set of linear matrix inequalities (LMI). The derived conditions are expressed in the form of linear matrix inequalities which can be efficiently solved via standard LMI toolbox. Further, two numerical examples are provided to demonstrate the effectiveness and less conservatism of the obtained results.

Sign in / Sign up

Export Citation Format

Share Document