Robust regional eigenvalue assignment by dynamic state-feedback control for nonlinear continuous-time systems

2015 ◽  
Author(s):  
W. Alexander Baker ◽  
Susan C. Schneider ◽  
Edwin E. Yaz
Keyword(s):  
Feedback Control ◽  
Continuous Time ◽  
State Feedback ◽  
State Feedback Control ◽  
Dynamic State ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Eigenvalue Assignment

Robust H∞ Dynamic State-Feedback Control for Nonlinear Discrete-Time Systems via LMI-Based Regional Eigenvalue Assignment

2016 ◽  
Author(s):  
W. Alexander Baker ◽  
Susan C. Schneider ◽  
Edwin E. Yaz
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Controller Design ◽  
Linear Part ◽  
The State ◽  
State Feedback Control ◽  
Dynamic State ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Eigenvalue Assignment

This paper uses Linear Matrix Inequality (LMI) techniques to apply regional eigenvalue assignment constraints to a dynamic state-feedback controller design for discrete-time systems with vanishing nonlinear perturbations. The controller design also incorporates the H∞ performance criterion. The regional eigenvalue assignment place the eigenvalues of the linear part of the system in two distinct regions, one region for the controller eigenvalues and one region for the observer eigenvalues, in such a way that the state estimation error goes to zero significantly faster than the state reaches steady state.

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