Algorithm for Approximate Model Matching for Loops With Non-Negligible Feedback Dynamics

1998 ◽  
Vol 120 (3) ◽  
pp. 394-398
Author(s):  
Luis Antonio Aguirre
Keyword(s):  
Closed Loop ◽  
Reference Model ◽  
Approximate Model ◽  
New Method ◽  
Moment Matching ◽  
Model Matching ◽  
Closed Loop System ◽  
Matching Problem ◽  
New Approach ◽  
Numerical Examples

This paper develops a new algorithm to solve the model matching problem in cases where the feedback dynamics should be taken into account in the design of the closed-loop system. One of the main features of the new method is that the matching is carried out by moment matching and is therefore approximate. The new algorithm is computationally simple and it permits the designer to choose relatively simple structures for the reference model and the controller. Numerical examples are included to illustrate the new approach.

Realization of Prefilter for Virtual Reference Feedback Tuning Using Closed-Loop Step Response Data

2016 ◽  
Vol 28 (5) ◽  
pp. 707-714 ◽  
Author(s):  
Yoshihiro Matsui ◽  
◽  
Hideki Ayano ◽  
Shiro Masuda ◽  
Kazushi Nakano ◽  
...  
Keyword(s):  
Closed Loop ◽  
Least Squares Method ◽  
Reference Model ◽  
Step Response ◽  
Model Matching ◽  
Matching Problem ◽  
Virtual Reference ◽  
Response Data ◽  
Closed Loop Systems ◽  
The Time Domain

[abstFig src='/00280005/13.jpg' width='300' text='VRFT model matching problem with prefilter F(z)' ] Prefilters for Virtual Reference Feedback Tuning (VRFT) in the time domain are realized by the least-squares method with step reference response data acquired from the closed-loop system to be tuned and are used to obtain controller parameters for making closed-loop systems as close as possible to the desired reference model. The usefulness of this proposal is shown in numerical examples in which fifth-order and PID controllers for a flexible transmission system are tuned by VRFT with prefilters.

scholarly journals Direct tuning of the data-driven controller considering closed-loop stability based on a fictitious reference signal

2021 ◽  
pp. 002029402110108
Author(s):  
Shuichi Yahagi ◽  
Itsuro Kajiwara
Keyword(s):  
Closed Loop ◽  
Reference Model ◽  
Reference Signal ◽  
Loop System ◽  
Data Driven ◽  
Design Parameters ◽  
Model Matching ◽  
Closed Loop System ◽  
Step Method ◽  
Bibo Stability

The direct tuning of controller parameters, which is based on data-driven control, has been attracting considerable attention because of the ease of its control system design. In practical use, it is important to consider the stability of the closed-loop system and model matching with few design parameters. In this study, we propose a direct tuning method based on a fictitious reference signal that considers the bounded-input bounded-output (BIBO) and model matching without repeating experiments. The proposed method includes two steps. In the first step, the BIBO stability is satisfied. The pole information is lost in the cost function of the conventional method using a fictitious reference signal. Then, we derive a new cost function that can prevent the loss of the pole information. This provides controller parameters that can stabilize the closed-loop system. The model matching between the reference model and the closed-loop system is considered in the second step. When model matching is achieved, the characteristics of the reference model almost match those of the closed-loop system, including the gain and phase margins. The parameters of the reference model are automatically tuned to realize model matching. Using the two-step method, we can obtain parameters considering BIBO stability and the model matching. In addition, there are no design parameters apart from the dealing noise. Two simulations and an experiment were performed on a system with dead time to verify the effectiveness of the proposed two-step method. The results showed that the proposed method provides BIBO stability and model-matched control parameters from the measured data through a one-time experiment without trial and error.

scholarly journals The discrete-time tracking problem with H∞ model matching approach plus integral control

2019 ◽  
Vol 292 ◽  
pp. 01018
Author(s):  
Murat Akın ◽  
Tankut Acarman
Keyword(s):  
Discrete Time ◽  
Closed Loop ◽  
Controller Design ◽  
Model Matching ◽  
Matching Problem ◽  
Design Algorithm ◽  
Integral Control ◽  
Loop Transfer Function ◽  
Model Transfer ◽  
Static Output

In this study, the discrete-time H∞ model matching problem with integral control by using 2 DOF static output feedback is presented. First, the motivation and the problem is stated. After presenting the notation, the two lemmas toward the discrete-time H∞ model matching problem with integral control are proven. The controller synthesis theorem and the controller design algorithm is elaborated in order to minimize the H∞ norm of the closed-loop transfer function and to maximize the closed-loop performance by introducing the model transfer matrix. In following, the discrete-time H∞ MMP via LMI approach is derived as the main result. The controller construction procedure is implemented by using a well-known toolbox to improve the usability of the presented results. Finally, some conclusions are given.

Sliding Mode Output Feedback Control of Vibration in a Flexible Structure

2007 ◽  
Vol 129 (6) ◽  
pp. 851-855 ◽  
Author(s):  
M. C. Pai ◽  
A. Sinha
Keyword(s):  
Output Feedback ◽  
Control Algorithm ◽  
Closed Loop ◽  
Sliding Mode ◽  
Output Feedback Control ◽  
Flexible Structure ◽  
Numerical Verification ◽  
Closed Loop System ◽  
New Approach ◽  
Small Gain

This paper presents a new approach for the robust control of vibration in a flexible structure in the presence of uncertain parameters and residual modes. The technique is based on the sliding mode control algorithm using direct output feedback and assumes that actuators and sensors are not collocated. The uncertainty matrix need not satisfy the invariance or matching conditions. The small gain theorem/μ analysis is applied to analyze the asymptotic behavior of the closed-loop system with parametric uncertainties inside boundary layers. The model of a flexible tetrahedral truss structure is used to conduct numerical verification of the theoretical analysis.

An Optimal Preview Acceleration Driver Model with a Correction Factor for Vehicle Directional Control

2013 ◽  
Vol 437 ◽  
pp. 623-628 ◽  
Author(s):  
Hsin Guan ◽  
Li Zeng Zhang ◽  
Xin Jia
Keyword(s):  
Correction Factor ◽  
Closed Loop ◽  
Reference Model ◽  
Driver Model ◽  
Closed Loop System ◽  
Moving Vehicle ◽  
Directional Control ◽  
Modeling Errors ◽  
Acceleration Model ◽  
Model Reference Adaptive

Parameters of the optimal preview acceleration driver model for vehicle directional control are determined by drivers delay/lag time and parameters of the reference model of the controlled vehicle. A moving vehicle is a time-varying and nonlinear system, so it is difficult to obtain accurate parameters of the reference model. If large modeling errors of the reference model occur, the classic driver model cannot ensure the driver/vehicle closed-loop system have a satisfactory performance. In this paper, an improved optimal preview acceleration model with a correction factor was proposed, which is based on sensitivity analysis and MRAC (the model reference adaptive control). Simulation results show that the improved driver model has more satisfactory adaptability and robustness comparing with the classic driver model.

scholarly journals Marine Autopilots’ Multipurpose Control Laws Synthesis for Actuators Time Delay

2020 ◽  
Vol 8 (7) ◽  
pp. 477 ◽  
Author(s):  
Evgeny I. Veremey ◽  
Sergei V. Pogozhev ◽  
Margarita V. Sotnikova
Keyword(s):  
Time Delay ◽  
Time Delays ◽  
Closed Loop ◽  
Controller Design ◽  
Dynamic Features ◽  
Closed Loop System ◽  
Control Laws ◽  
New Approach ◽  
Feedback Synthesis ◽  
Autopilot Systems

One analytical design problem involves constructing control laws for marine autopilot systems. Despite numerous known solutions, this problem can still be further developed by taking into account the actual conditions of the control system operation. An important issue for discussion is the feedback synthesis for marine ships with time delays in their rudders’ actuators. In this work, a new approach is proposed for providing all the desirable dynamic features of a closed-loop system with autopilot while taking into account the presence of a time delay. This approach is based on the predictive compensation of time delays via the specific transformation of an initially given reference controller with a special multipurpose structure. The applicability and effectiveness of the proposed method is further illustrated by a practical example of a controller design.

A Theoretical Control Strategy for a Diesel Engine

2005 ◽  
Vol 128 (2) ◽  
pp. 453-457 ◽  
Author(s):  
R. Outbib ◽  
X. Dovifaaz ◽  
A. Rachid ◽  
M. Ouladsine
Keyword(s):  
Diesel Engine ◽  
Engine Speed ◽  
Closed Loop ◽  
Lyapunov Theory ◽  
Loop System ◽  
Control Law ◽  
Closed Loop System ◽  
Nonlinear Method ◽  
New Approach ◽  
Fuel Rate

In this paper we present a theoretical strategy for diesel engine control. More precisely, we propose a new approach to control the speed of the engine using the fuel rate as the control law and we show how this approach can be used to control the opacity. We first establish a mathematical model that describes the behavior of the engine. Afterward, we propose a new nonlinear method to design a controller for a class of nonlinear systems. The proposed method, based on Lyapunov theory, is used to design a smooth feedback law that renders the closed-loop system asymptotically stable around a desired engine speed value. Finally, simulation results are proposed to highlight the performances of the closed-loop system.

scholarly journals Design of Switching Multiobjective Controller: A New Approach

2011 ◽  
Vol 2011 ◽  
pp. 1-12
Author(s):  
Ahmad Fakharian
Keyword(s):  
Closed Loop ◽  
Multiplicative Noise ◽  
Loop System ◽  
Switching System ◽  
Closed Loop System ◽  
New Approach ◽  
Output Feedback Controller ◽  
The Stability ◽  
Fuzzy Supervisor ◽  
Globally Stable

Design of switching / output-feedback controller for discrete-time LTI systems with state-multiplicative noise is considered. The closed loop system achieves a minimum bound on the stochastic performance level, while satisfying the performance. The proposed controller is based on a fuzzy supervisor which manages the combination of two separate and controllers. A convex formulation of the two controllers leads to a structure which benefits from the advantages of both controllers to ensure a good performance in both the transient phase ( controller) and the steady phase ( controller). The stability analysis uses the Lyapunov technique, inspired from switching system theory, to prove that the closed loop system with the proposed controller structure remains globally stable despite the configuration changing.

scholarly journals H∞ Tracking Control of Fuzzy Dynamic Output for Nonlinear Networked System with Packet Dropouts

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Yang Wang ◽  
Jinna Li ◽  
Xiaolei Ji
Keyword(s):  
Output Feedback ◽  
Tracking Control ◽  
Closed Loop ◽  
Reference Model ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Loop System ◽  
Dynamic Output Feedback ◽  
Closed Loop System ◽  
Dynamic Output

The tracking control of H∞ dynamic output feedback is proposed for the fuzzy networked systems of the same category, in which each system is discrete-time nonlinear and is missing measurable data. In other words, the loss of data packet occurs randomly in both the uplink and the downlink. The independent variables that are called the Bernoulli random variables are considered to design the loss of data packets. The method of parallel distributed compensation (PDC) in terms of the T-S fuzzy model is applied to investigate the dynamic controller of tracking control on the systems. Then, it is presented that the analytical H∞ performance of the output error between the reference model and the fuzzy model for the closed-loop system containing dynamic output feedback controller is proven. Furthermore, the achieved sufficient conditions in terms of LMIs ensure that the closed-loop system is stochastically stable in the H∞ sense. Finally, a numerical system is offered to show the effectiveness of the established technique.

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