H∞ controller design for switched nonlinear systems in lower triangular form under arbitrary switchings

2010 ◽  
Author(s):  
Ruicheng Ma ◽  
Jun Zhao ◽  
Georgi M. Dimirovski
Keyword(s):  
Nonlinear Systems ◽  
Controller Design ◽  
Switched Nonlinear Systems ◽  
Triangular Form ◽  
Lower Triangular

Perfect nonlinear observers of fractional descriptor continuous-time nonlinear systems

2016 ◽  
Vol 19 (3) ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Nonlinear Systems ◽  
Continuous Time ◽  
Sufficient Conditions ◽  
Design Procedure ◽  
Singular Matrix ◽  
Triangular Form ◽  
Nonlinear Observers ◽  
Numerical Example ◽  
Lower Triangular ◽  
Necessary And Sufficient

AbstractPerfect nonlinear fractional descriptor observers for fractional descriptor continuous-time nonlinear systems are proposed. Necessary and sufficient conditions for the existence of the observers are established. The design procedure of the nonlinear fractional observers is given. It is based on the elementary row (column) operations and reducing the singular matrix of the system to upper (lower) triangular form. The effectiveness of the procedure is demonstrated on a numerical example.

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