Adaptive two-stage LQ reliable control of uncertain discrete-time systems

2005 ◽  
Author(s):  
Chien-Shu Hsieh
Keyword(s):  
Discrete Time ◽  
Reliable Control ◽  
Two Stage ◽  
Discrete Time Systems ◽  
Time Systems

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.

Observer-based Reliable Control for Discrete Time Systems: An Average Dwell Time Approach

2012 ◽  
Vol 14 (6) ◽  
pp. 1625-1633 ◽  
Author(s):  
Dongsheng Du ◽  
Bin Jiang ◽  
Peng Shi ◽  
Zehui Mao
Keyword(s):  
Discrete Time ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Reliable Control ◽  
Discrete Time Systems ◽  
Time Systems
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