Controllability of Singularly Perturbed Linear Time-Invariant Systems on Time Scales

2021 ◽  
Author(s):  
Olga Tsekhan ◽  
Ewa Pawluszewicz
Keyword(s):  
Time Scales ◽  
Linear Time ◽  
Singularly Perturbed ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Time Invariant

Stability radii for positive linear time-invariant systems on time scales

2010 ◽  
Vol 59 (3-4) ◽  
pp. 173-179 ◽  
Author(s):  
T.S. Doan ◽  
A. Kalauch ◽  
S. Siegmund ◽  
F.R. Wirth
Keyword(s):  
Time Scales ◽  
Linear Time ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Stability Radii ◽  
Time Invariant

Multivariable Disturbance Rejection Tracking Controllers for Systems With Slow and Fast Modes

1987 ◽  
Vol 109 (4) ◽  
pp. 363-369 ◽  
Author(s):  
Suhada Jayasuriya
Keyword(s):  
Linear Time ◽  
Design Procedure ◽  
Singularly Perturbed ◽  
Linear Time Invariant ◽  
Singular Perturbation Methods ◽  
Tracking Controllers ◽  
Asymptotic Tracking ◽  
Ill Conditioning ◽  
Linear Time Invariant Systems ◽  
Time Invariant

In this paper we consider the design of controllers for a class of singularly perturbed multi-input-multi-output linear time-invariant systems where the objective is asymptotic tracking in the presence of persisting disturbances. The controller structure consists of a precompensator and a stabilizing compensator used in conjunction with a full order observer. Singular perturbation methods are used to obtain various components of the control system so that numerical ill conditioning is avoided. The design procedure is illustrated by synthesizing a controller for a second order singularly perturbed plant.

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