A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters

2016 ◽  
Author(s):  
A. Zemouche ◽  
M. Zerrougui ◽  
B. Boulkroune ◽  
R. Rajamani ◽  
M. Zasadzinski
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Design Method ◽  
Uncertain Parameters ◽  
Lpv Systems

scholarly journals Design of a Preview Controller for Discrete-Time Systems Based on LMI

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Li Li ◽  
Fucheng Liao
Keyword(s):  
Steady State ◽  
Discrete Time ◽  
Controller Design ◽  
Design Method ◽  
Reference Signal ◽  
Original System ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Discrete Time Systems ◽  
Time Systems

A preview controller design method for discrete-time systems based on LMI is proposed. First, we use the difference between a system state and its steady-state value, instead of the usual difference between system states, to transform the tracking problem into a regulator problem. Then, based on the Lyapunov stability theory and linear matrix inequality (LMI) approach, the preview controller ensuring asymptotic stability of the closed-loop system for the derived augmented error system is found. And an extended functional observer is designed in this paper which can achieve disturbance attenuation in the estimation process; as a result, the state of the system can be reconstructed rapidly and accurately. The controller gain matrix is obtained by solving an LMI problem. By incorporating the controller obtained into the original system, we obtain the preview controller of the system under consideration. To make sure that the output tracks the reference signal without steady-state error, an integrator is introduced. The numerical simulation example also illustrates the effectiveness of the results in the paper.

scholarly journals Discrete-Time Robust Control With an Anticipative Action for Preview Systems

2018 ◽  
Vol 141 (3) ◽  
Author(s):  
Asma Achnib ◽  
Tudor-Bogdan Airimitoaie ◽  
Patrick Lanusse ◽  
Sergey Abrashov ◽  
Mohamed Aoun ◽  
...  
Keyword(s):  
Robust Control ◽  
Discrete Time ◽  
Controller Design ◽  
Design Method ◽  
Reference Signal ◽  
Feedback Controller ◽  
Water Tank ◽  
Level Control ◽  
Model Uncertainties ◽  
Crone Control

A discrete-time robust controller design method is proposed for optimal tracking of future references in preview systems. In the context of preview systems, it is supposed that future values of the reference signal are available a number of time steps ahead. The objective is to design a control algorithm that minimizes a quadratic error between the reference and the output of the system and at the same time achieves a good level of the control signal. The proposed solution combines a robust feedback controller with a feedforward anticipative filter. The feedback controller's purpose is to assure robustness of the closed-loop system to model uncertainties. Any robust control methodology can be used (such as μ-synthesis, qft, or crone control). The focus of this paper will be on the design of the feedforward action in order to introduce the anticipative effect with respect to known future values of the reference signal without hindering the robustness achieved through the feedback controller. As such, the model uncertainties are taken into account also in the design of the feedforward anticipative filter. The proposed solution is validated in simulation and on an experimental water tank level control system.

scholarly journals Observer-Based Control of Discrete-Time LPV Systems With Uncertain Parameters $ $

2010 ◽  
Vol 55 (9) ◽  
pp. 2130-2135 ◽  
Author(s):  
W. P. Maurice H. Heemels ◽  
Jamal Daafouz ◽  
Gilles Millerioux
Keyword(s):  
Discrete Time ◽  
Uncertain Parameters ◽  
Lpv Systems

Robust Reliable Control for a Class of Uncertain Discrete-Time Systems with Multiple Time-Varying Delays

2012 ◽  
Vol 630 ◽  
pp. 396-401
Author(s):  
Chong Li
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Design Method ◽  
Robust Stabilization ◽  
System Stability ◽  
Multiple Time ◽  
Reliable Control ◽  
Time Varying ◽  
Robust Reliable Control ◽  
Delay Dependent

The robust reliable control design problem of uncertain discrete-time control systems with multiple time-varying delays is addressed in this article. Uncertainty in system is assumed to satisfy the norm-bounded condition and the time-delay parameter is time-varying unstructured. Under the proposed concepts of exponentially robust stability and exponentially robust stabilization, the delay-dependent exponential stability condition for the robust reliable control system is derived and a new delay-dependent state feedback controller design method is provided. The relationship between system stability and time-delays is also studied. Simulation study shows the effectiveness and feasibility of the proposed controller design method.

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