An output regulation problem for switched linear systems in discrete time

2007 ◽  
Author(s):  
Ji-Woong Lee ◽  
Geir E. Dullerud ◽  
Pramod P Khargonekar
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Output Regulation ◽  
Switched Linear Systems ◽  
Output Regulation Problem

Output regulation for switched discrete-time systems with output signal quantization

2021 ◽  
pp. 014233122198988
Author(s):  
Yaoli Zhang ◽  
Jun Zhao
Keyword(s):  
Discrete Time ◽  
Pulse Width ◽  
Pulse Width Modulation ◽  
Output Regulation ◽  
Feedback Controllers ◽  
Signal Quantization ◽  
Discrete Time Systems ◽  
Output Regulation Problem ◽  
Time Systems ◽  
Coordinates Transformation

This paper investigates the output regulation problem for switched discrete-time systems with output quantization. We adopt the quantized output in feedback controllers and allow each subsystem to have its own quantization density, so that the communication network can be efficiently utilized. By using the different coordinates transformation, the solvability of the output regulation problem is guaranteed under deigned output feedback controllers with the switching signals satisfying a dwell time constraint. In the simulation, a pulse-width modulation driven boost converter model is employed to validate the result.

scholarly journals On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons

2016 ◽  
Vol 61 (5) ◽  
pp. 1181-1193 ◽  
Author(s):  
Mirko Fiacchini ◽  
Antoine Girard ◽  
Marc Jungers
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Switched Linear Systems

Stabilizing switching automata for discrete-time switched linear systems

2021 ◽  
Author(s):  
Luiz Alfredo Cavalcante Lourenco ◽  
Fabio Dercole
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Switched Linear Systems

Semi-global output regulation for discrete-time singular linear systems with input saturation via composite nonlinear feedback control

2016 ◽  
Vol 39 (3) ◽  
pp. 352-360 ◽  
Author(s):  
Xiaoyan Lin ◽  
Dongyun Lin ◽  
Weiyao Lan
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Discrete Time ◽  
Input Saturation ◽  
Output Regulation ◽  
Control Law ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Composite Nonlinear Feedback ◽  
Singular Linear Systems

The semi-global output regulation problem of multi-variable discrete-time singular linear systems with input saturation is investigated in this paper. A composite nonlinear feedback control law is constructed by using a low gain feedback technique for semi-global stabilisation of discrete-time singular linear systems with input saturation. The sufficient solvability conditions of the semi-global output regulation problem by composite nonlinear feedback control are established. When the composite nonlinear feedback control law is reduced to a linear control law, the solvability conditions are an exact discrete-time counterpart of the semi-global output regulation problem of continuous-time singular linear systems. With the extra control freedom of the nonlinear part in the composite nonlinear feedback control law, the transient performance of the closed-loop system can be improved by carefully choosing the linear feedback gain and the nonlinear feedback gain. The design procedure of the composite nonlinear feedback control law and the improvement of the transient performance are illustrated by a numerical example.

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