Asymptotic stability of reference trajectories for nonlinear systems by linear dynamic output feedback

2009 ◽  
Author(s):  
Felix Antritter
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Stability ◽  
Output Feedback ◽  
Dynamic Output Feedback ◽  
Linear Dynamic ◽  
Dynamic Output ◽  
Reference Trajectories

DYNAMIC OUTPUT FEEDBACK STABILIZATION FOR NONLINEAR SYSTEMS BASED ON STANDARD NEURAL NETWORK MODELS

2006 ◽  
Vol 16 (04) ◽  
pp. 305-317 ◽  
Author(s):  
MEIQIN LIU
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Nonlinear Systems ◽  
Network Model ◽  
Neural Network Model ◽  
Output Feedback ◽  
Control Design ◽  
Feedback Stabilization ◽  
Dynamic Output Feedback ◽  
Dynamic Output

A neural-model-based control design for some nonlinear systems is addressed. The design approach is to approximate the nonlinear systems with neural networks of which the activation functions satisfy the sector conditions. A novel neural network model termed standard neural network model (SNNM) is advanced for describing this class of approximating neural networks. Full-order dynamic output feedback control laws are then designed for the SNNMs with inputs and outputs to stabilize the closed-loop systems. The control design equations are shown to be a set of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms to determine the control signals. It is shown that most neural-network-based nonlinear systems can be transformed into input-output SNNMs to be stabilization synthesized in a unified way. Finally, some application examples are presented to illustrate the control design procedures.

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