Memory state feedback control synthesis for linear systems with time delay via a finite number of linear matrix inequalities

2002 ◽  
Vol 28 (3) ◽  
pp. 217-228 ◽  
Author(s):  
Takehito Azuma ◽  
Kojiro Ikeda ◽  
Taku Kondo ◽  
Kenko Uchida
Keyword(s):  
Time Delay ◽  
Finite Number ◽  
Linear Matrix Inequalities ◽  
State Feedback ◽  
State Feedback Control ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Memory State ◽  
Memory State Feedback

scholarly journals Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Lin Chai ◽  
Shumin Fei
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Adaptive Strategy ◽  
Adaptive Controller ◽  
Feedback Stabilization ◽  
Delay Systems ◽  
Linear Matrix ◽  
Memory State ◽  
Memory State Feedback

Stabilization of a class of systems with time delay is studied using adaptive control. With the help of the “error to error” technique and the separated “descriptor form” technique, the memory state-feedback controller is designed. The adaptive controller designed can guarantee asymptotical stability of the closed-loop system via a suitable Lyapunov-Krasovskii functional. Some sufficient conditions are derived for the stabilization together with the linear matrix inequality (LMI) design approach. Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations.

scholarly journals Robust H∞ Control For Uncertain Singular Neutral Time-Delay Systems

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 217 ◽  
Author(s):  
Yuhong Huo ◽  
Jia-Bao Liu
Keyword(s):  
Time Delay ◽  
Stability Condition ◽  
State Feedback ◽  
State Feedback Control ◽  
Delay Systems ◽  
Linear Matrix ◽  
Control Law ◽  
Matrix Inequality ◽  
Time Delay Systems ◽  
Matrix Inequalities

The present paper attempts to investigate the problem of robust H ∞ control for a class of uncertain singular neutral time-delay systems. First, a linear matrix inequality (LMI) is proposed to give a generalized asymptotically stability condition and an H ∞ norm condition for singular neutral time-delay systems. Second, the LMI is utilized to solve the robust H ∞ problem for singular neutral time-delay systems, and a state feedback control law verifies the solution. Finally, four theorems are formulated in terms of a matrix equation and linear matrix inequalities.

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