Robust control of uncertain nonlinear systems: a new higher order sliding mode based solution

2006 ◽  
Author(s):  
F. Plestan ◽  
S. Laghrouche ◽  
A. Glumineau
Keyword(s):  
Robust Control ◽  
Nonlinear Systems ◽  
Sliding Mode ◽  
Higher Order ◽  
Uncertain Nonlinear Systems

Continuous higher order sliding mode observers for a class of uncertain nonlinear systems

2018 ◽  
Vol 41 (3) ◽  
pp. 717-728 ◽  
Author(s):  
Panitnart Chawengkrittayanont ◽  
Chutiphon Pukdeboon
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Higher Order ◽  
Uncertain Nonlinear Systems ◽  
Terminal Sliding Mode ◽  
Detailed Model ◽  
State Observers ◽  
Chattering Free ◽  
Improved Performance

Two nonlinear state observers are proposed to reconstruct the system states for a class of uncertain nonlinear systems. Both state observers are designed based on continuous higher order sliding mode and terminal sliding mode concepts. The proposed observers are chattering-free and constructed without any detailed model knowledge of the system. Desirable features of the proposed observers include that they are immune to noise and can be designed separately from a controller. Lyapunov stability theory is employed to prove the finite-time convergent and uniformly ultimately bounded observation. Simulation results are provided to demonstrate the effectiveness and improved performance of the developed observers.

Sliding Mode Differentiator Based Tracking Control of Uncertain Nonlinear Systems with Application to Hypersonic Flight

2018 ◽  
Vol 21 (1) ◽  
pp. 143-155 ◽  
Author(s):  
Hao An ◽  
Baris Fidan ◽  
Qianqian Wu ◽  
Changhong Wang ◽  
Xibin Cao
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Sliding Mode ◽  
Uncertain Nonlinear Systems ◽  
Hypersonic Flight
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