Finite frequency memory output feedback controller design for discrete‐time systems with state multiplicative noises

2020 ◽  
Author(s):  
Meng Wang ◽  
Jianbin Qiu ◽  
Gang Feng
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
Finite Frequency ◽  
Multiplicative Noises ◽  
Output Feedback Controller ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals On Finite-Time Feedback Control for Switched Discrete-Time Systems under Fast and Slow Switching

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Liaoliang Xiao ◽  
Mingyang Yu
Keyword(s):  
Output Feedback ◽  
State Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
Static State ◽  
Output Feedback Controller ◽  
Discrete Time Systems ◽  
Static State Feedback ◽  
Time Systems ◽  
Slow Switching

The problem of finite-time stabilization for switched discrete-time systems under both fast and slow switching is addressed. In the fast switching case, the designed static state feedback controller combines controllers for each subsystem and resetting controller at switching instant, it is shown that the resetting controller can reduce the conservativeness on controller design. Then the results are extended to output feedback controller design. Under slow switching, both static state feedback and output feedback controller are designed with admissible average dwell time, respectively. Several numerical examples are given to illustrate the proposed results within this paper.

Two-Stage Feedback Control Design for a Class of Linear Discrete-Time Systems With Slow and Fast Modes

2015 ◽  
Vol 137 (8) ◽  
Author(s):  
Verica Radisavljevic-Gajic
Keyword(s):  
Time Scales ◽  
Discrete Time ◽  
Controller Design ◽  
Feedback Controller ◽  
Two Stage ◽  
Stage Design ◽  
Design Algorithm ◽  
Discrete Time Systems ◽  
Two Stage Design ◽  
Time Systems

In this paper, we first review the new algorithm for the two-stage feedback controller design of linear discrete-time systems, and then provide conditions for its applicability. The design algorithm is specialized and simplified for a class of linear systems with slow and fast modes (multitime scale systems or singularly perturbed systems). The proposed design significantly reduces computational full-state feedback design requirements and provides independent and accurate feedback controller design techniques in slow and fast time scales. We present also conditions needed for applicability of the proposed two-stage design in two time scales. The power of the two-stage design lies in the fact that different types of controllers can be designed for different subsystems using the corresponding feedback gains obtained by performing calculations only with the subsystem (reduced-order) matrices.

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