scholarly journals Co-Design of Event Generator and Dynamic Output Feedback Controller for LTI Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Dan Ma ◽  
Junxian Han ◽  
Dali Zhang ◽  
Yanjun Liu
Keyword(s):  
Output Feedback ◽  
Linear Time ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Event Generator ◽  
Dynamic Output Feedback ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller ◽  
Event Triggered

This paper presents a co-design method of the event generator and the dynamic output feedback controller for a linear time-invariant (LIT) system. The event-triggered condition on the sensor-to-controller and the controller-to-actuator depends on the plant output and the controller output, respectively. A sufficient condition on the existence of the event generator and the dynamic output feedback controller is proposed and the co-design problem can be converted into the feasibility of linear matrix inequalities (LMIs). The LTI system is asymptotically stable under the proposed event-triggered controller and also reduces the computing resources with respect to the time-triggered one. In the end, a numerical example is given to illustrate the effectiveness of the proposed approach.

scholarly journals A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller

2014 ◽  
Vol 24 (2) ◽  
pp. 325-334 ◽  
Author(s):  
Lan Zhou ◽  
Jinhua She ◽  
Shaowu Zhou
Keyword(s):  
Control System ◽  
Output Feedback ◽  
Repetitive Control ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Control Input ◽  
Dynamic Output Feedback ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller

Abstract This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic output feedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.

OPTIMIZATION OF DYNAMIC OUTPUT FEEDBACK CONTROLLER FOR PIECEWISE AFFINE SYSTEMS: AN LMI APPROACH

2008 ◽  
Vol 17 (02) ◽  
pp. 263-277 ◽  
Author(s):  
BEHROOZ MOLAEI
Keyword(s):  
Output Feedback ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Dynamic Output Feedback ◽  
Matrix Inequalities ◽  
Piecewise Affine ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Nonlinear Matrix ◽  
Dynamic Output Feedback Controller

This note proposes a systematic method to optimizing dynamic output feedback controller for continuous-time hybrid systems in the Piecewise Affine (PWA) form. In this note, design of the dynamic output feedback controller is shown in the frame of L2 gain synthesis for PWA systems. Matrix inequalities derived from dynamic output feedback controller is not usually linear. Using a congruence transformation, the nonlinear matrix inequalities are mapped into linear matrix inequalities, whose solutions are quite feasible using commercially available software. The proposed techniques satisfy features such as: globally quadratic stability, continuity of control signal, and tracking a reference input. A numerical example is included to demonstrate the applicability and effectiveness of the proposed technique.

scholarly journals Semiglobal Sampled-Data Dynamic Output Feedback Controller for the Glucose–Insulin System

2020 ◽  
Vol 28 (1) ◽  
pp. 16-32 ◽  
Author(s):  
Mario Di Ferdinando ◽  
Pierdomenico Pepe ◽  
Pasquale Palumbo ◽  
Simona Panunzi ◽  
Andrea De Gaetano
Keyword(s):  
Output Feedback ◽  
Feedback Controller ◽  
Dynamic Output Feedback ◽  
Sampled Data ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller

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.

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