scholarly journals Output Feedback Receding Horizon H^|^infin; Control for Linear Time Varying Systems Using Extended Terminal Inequality Conditions

2004 ◽  
Vol 40 (6) ◽  
pp. 656-663
Author(s):  
Yasunori KAWAI ◽  
Takehito AZUMA ◽  
Masayuki FUJITA
Keyword(s):  
Output Feedback ◽  
Linear Time ◽  
Time Varying ◽  
Receding Horizon ◽  
Time Varying Systems

Finite-time dynamic output feedback stabilization of linear time-varying systems by a piecewise constant method

2018 ◽  
Vol 40 (14) ◽  
pp. 4078-4088
Author(s):  
Chao Liang ◽  
Chenxiao Cai ◽  
Jing Xu
Keyword(s):  
Output Feedback ◽  
Finite Time ◽  
Linear Time ◽  
Dynamic Output Feedback ◽  
Time Varying ◽  
Piecewise Constant ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Time Varying Systems ◽  
Dynamic Output Feedback Controller

The paper mainly deals with the problem of finite-time stabilization of linear time-varying systems. A dynamic output feedback controller is designed, which is able to stabilize the linear time-varying systems in finite time. By virtue of extended piecewise constant method, novel criteria for the existence of a dynamic output feedback controller is established in terms of linear matrix inequalities. Compared with the existing method, the proposed method is more efficient from a computational point of view. A simulation is given to illustrate the effectiveness of the obtained result.

Receding horizon observer for linear time-varying systems

2018 ◽  
Vol 41 (9) ◽  
pp. 2612-2622
Author(s):  
Atif Qayyum ◽  
Muhammad Salman ◽  
Mohammad Bilal Malik
Keyword(s):  
Statistical Convergence ◽  
Linear Time ◽  
Time Varying ◽  
Receding Horizon ◽  
Time Varying Systems ◽  
Feedback Control Systems ◽  
Loop Feedback ◽  
Closed Loop Feedback ◽  
Finite Memory ◽  
Insight Into

In this paper, we present a receding horizon observer for linear time-varying systems. Our main contribution is that known deterministic input has been fully dealt with. This poses considerable challenges for recursive formulation of the filter. The suggested observer can be used in closed-loop feedback control systems. The existing finite memory filters lack this ability. First- and second-order statistical convergence analysis carried out in this paper provide an insight into the stochastic behaviour of the observer. Some examples demonstrate the utility of the proposed filter.

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