Finite-time control of discrete-time linear systems: Analysis and design conditions

Automatica ◽  
2010 ◽  
Vol 46 (5) ◽  
pp. 919-924 ◽  
Author(s):  
Francesco Amato ◽  
Marco Ariola ◽  
Carlo Cosentino
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Systems Analysis ◽  
Finite Time ◽  
Linear Systems Analysis ◽  
Analysis And Design ◽  
Systems Analysis And Design ◽  
Time Control ◽  
Time Linear

Positive Finite-Time Stabilization for Discrete-Time Linear Systems

2014 ◽  
Vol 137 (1) ◽  
Author(s):  
Wenping Xue ◽  
Kangji Li
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Finite Time ◽  
State Feedback ◽  
Closed Loop ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Initial State ◽  
Finite Time Stability ◽  
Time Linear

In this paper, a new finite-time stability (FTS) concept, which is defined as positive FTS (PFTS), is introduced into discrete-time linear systems. Differently from previous FTS-related papers, the initial state as well as the state trajectory is required to be in the non-negative orthant of the Euclidean space. Some test criteria are established for the PFTS of the unforced system. Then, a sufficient condition is proposed for the design of a state feedback controller such that the closed-loop system is positively finite-time stable. This condition is provided in terms of a series of linear matrix inequalities (LMIs) with some equality constraints. Moreover, the requirement of non-negativity of the controller is considered. Finally, two examples are presented to illustrate the developed theory.

RobustH∞finite-time control for discrete-time polytopic uncertain switched linear systems

2018 ◽  
Vol 29 ◽  
pp. 348-362 ◽  
Author(s):  
Jaepil Ban ◽  
Wookyong Kwon ◽  
Sangchul Won ◽  
Sangwoo Kim
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Finite Time ◽  
Switched Linear Systems ◽  
Time Control
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