Bounded smooth state feedback and a global separation principle for non-affine nonlinear systems

1995 ◽  
Vol 26 (1) ◽  
pp. 41-53 ◽  
Author(s):  
Wei Lin
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Separation Principle ◽  
Affine Nonlinear Systems ◽  
Bounded Smooth ◽  
Smooth State

scholarly journals State-feedback stabilization for stochastic high-order nonlinear systems with a ratio of odd integers power

2010 ◽  
Vol 15 (1) ◽  
pp. 39-53 ◽  
Author(s):  
L. Liu ◽  
N. Duan
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
High Order ◽  
Feedback Stabilization ◽  
Asymptotically Stable ◽  
Globally Asymptotically Stable ◽  
Optimal Stabilization ◽  
Adding A Power Integrator ◽  
Power Integrator ◽  
Smooth State

This paper investigates the problem of globally asymptotically stable in probability by state-feedback for a class of stochastic high-order nonlinear systems with a ratio of odd integers power. By extending the adding a power integrator technique and choosing an appropriate Lyapunov function, a linear smooth state-feedback controller is explicitly constructed to render the system globally asymptotically stable in probability. Furthermore, we address the problem of state-feedback inverse optimal stabilization in probability. A simulation example is provided to show the effectiveness of the proposed approach.

Stabilization of discrete-time nonlinear systems by smooth state feedback

1993 ◽  
Vol 21 (3) ◽  
pp. 255-263 ◽  
Author(s):  
Christopher I. Byrnes ◽  
Wei Lin ◽  
Bijoy K. Ghosh
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
State Feedback ◽  
Smooth State

Observer-based tracking controller design for a class of Lipschitz nonlinear systems

2017 ◽  
Vol 24 (11) ◽  
pp. 2112-2119 ◽  
Author(s):  
Meysam Yadegar ◽  
Ahmad Afshar ◽  
Mohammadreza Davoodi
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
State Variables ◽  
Separation Principle ◽  
Flexible Link ◽  
Lipschitz Nonlinear Systems ◽  
Reference Input

In this paper, the observer-based controller design problem for tracking a constant reference input in Lipschitz nonlinear systems is addressed. To this end, at first, a state feedback controller is proposed and sufficient conditions for solvability of the problem are obtained in terms of linear matrix inequality feasibility conditions. Then, it is shown that for the considered Lipschitz nonlinear system, the separation principle holds and the estimation state variables can be used instead of the state variables. Subsequently, an observer for estimating the states of the system and also an observer-based controller is designed. Simulation results on a flexible link are given to verify the effectiveness of the proposed controller.

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