Output deadbeat control of nonlinear discrete-time systems with one-dimensional zero dynamics: global stability conditions

1999 ◽  
Vol 44 (6) ◽  
pp. 1262-1266 ◽  
Author(s):  
G. Bastin ◽  
F. Jarachi ◽  
I.M.Y. Mareels
Keyword(s):  
Global Stability ◽  
Discrete Time ◽  
Stability Conditions ◽  
Zero Dynamics ◽  
Deadbeat Control ◽  
One Dimensional ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals New stability conditions for a class of nonlinear discrete-time systems with time-varying delay

2021 ◽  
Author(s):  
SAMI ELMADSSIA ◽  
KARIM SADAAOUI
Keyword(s):  
Discrete Time ◽  
Stability Conditions ◽  
Time Varying ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Matrix Properties ◽  
Arrow Form Matrix ◽  
Bounded Nonlinearity ◽  
Time Systems ◽  
Varying Delay

The problem of stability analysis for a class of nonlinear discrete time systems with time varying delay is studied in this work. Such systems are modeled by delayed difference equations. Subsequently, this system is transformed into an arrow form matrix representation. Using M-matrix properties, novel sufficient stability conditions are determined. It is shown how to use our method to design a state feedback controller that stabilizes a discrete time Lure system with time varying delay and sector bounded nonlinearity. The originalities of our findings are shown in their explicit representation, using system’s parameters, as well as in their easiness to be employed. The obtained results demonstrate also that checking stability of a nonlinear discrete time systems with time varying delay can be reduced to an M-matrix test. Several examples are provided to show the effectiveness of the introduced technique. <br>

Adaptive Control of Discrete-Time Systems with Unknown, Unstable Zero Dynamics

2020 ◽  
Author(s):  
Syed Aseem Ul Islam ◽  
Tam W. Nguyen ◽  
Ilya V. Kolmanovsky ◽  
Dennis S. Bernstein
Keyword(s):  
Adaptive Control ◽  
Discrete Time ◽  
Zero Dynamics ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals New stability conditions for class of nonlinear discrete-time systems with time-varying delay

2021 ◽  
Author(s):  
SAMI ELMADSSIA ◽  
KARIM SADAAOUI
Keyword(s):  
Discrete Time ◽  
Stability Conditions ◽  
Time Varying ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Matrix Properties ◽  
Arrow Form Matrix ◽  
Bounded Nonlinearity ◽  
Time Systems ◽  
Varying Delay

The problem of stability analysis for a class of nonlinear discrete time systems with time varying delay is studied in this work. Such systems are modeled by delayed difference equations. Subsequently, this system is transformed into an arrow form matrix representation. Using M-matrix properties, novel sufficient stability conditions are determined. It is shown how to use our method to design a state feedback controller that stabilizes a discrete time Lure system with time varying delay and sector bounded nonlinearity. The originalities of our findings are shown in their explicit representation, using system’s parameters, as well as in their easiness to be employed. The obtained results demonstrate also that checking stability of a nonlinear discrete time systems with time varying delay can be reduced to an M-matrix test. Several examples are provided to show the effectiveness of the introduced technique. <br>

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