On the existence of stationary optimal policies for the average cost control problem of linear systems with abstract state-feedback

2008 ◽  
Author(s):  
Alessandro N. Vargas ◽  
Joao B. R. do Val
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Average Cost ◽  
State Feedback ◽  
Cost Control ◽  
Optimal Policies

Mixed H2/H∞ Control for State-Delayed Linear Systems and a LMI Approach to the Solution of Coupled AREs

2003 ◽  
Vol 125 (2) ◽  
pp. 249-253 ◽  
Author(s):  
M. D. S. Aliyu
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Riccati Equations ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Lmi Approach ◽  
Alternative Approach

In this paper, the state-feedback mixed H2/H∞ control problem for state-delayed linear systems is considered. Sufficient conditions for the solvability of this problem are given in terms of the solution to a pair of algebraic Riccati equations similar to the nondelayed case. However, these Riccati equations are more difficult to solve than those arising in the pure H2,H∞ problems, and an alternative approach is to solve a pair of linear matrix inequalities (LMIs).

H∞ Robust State Feedback Sampled-Data Control of Interval Linear Systems

2020 ◽  
Author(s):  
Rafael M. Alves ◽  
André R. Fioravanti ◽  
Matheus Souza
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Hybrid Systems ◽  
Upper Bound ◽  
State Feedback ◽  
Data Systems ◽  
Sampled Data ◽  
Data Control ◽  
Interval Linear ◽  
Interval Linear Systems

In this paper, we address the H∞ control problem for uncertain sampled-data systems rewritten as hybrid systems. The conditions proposed are formulated as intervals to ensure stability and design controllers that guarantee an upper bound for an associated H∞ norm. A numerical example points out the main features of the proposed method.

Time scale state feedback h-stabilisation of linear systems under Lipschitz-type disturbances

2021 ◽  
pp. 1-11 ◽  
Author(s):  
Bacem Ben Nasser ◽  
Mohamed Djemai ◽  
Michael Defoort ◽  
Taous-Meriem Laleg-Kirati
Keyword(s):  
Linear Systems ◽  
Time Scale ◽  
State Feedback
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