Adaptive LMS Model-Following Control Applied Inside a Closed-Loop

1997 ◽  
Author(s):  
Bradley R. Smith ◽  
H. H. Robertshaw
Keyword(s):  
Feedback Loop ◽  
Closed Loop ◽  
Delay Line ◽  
Second Order ◽  
Order System ◽  
Control Problems ◽  
Model Following Control ◽  
Model Following ◽  
Adaptive Lms ◽  
Unknown Solution

Abstract A Least Mean Squares (LMS)-style algorithm is derived for the feedback control problem. The algorithm allows a tap delay line within the closed loop to be used for control applications. This paper derives the algorithm and applies the algorithm to two simple control problems for which the solution is known and to one problem with an unknown solution. The first problem is a stable second-order system. The second problem is a unstable second-order system which is initially stabilized with the feedback loop. In both problems, the weights converge to the expected values. The stable problem is used again with an inaccurate model that has 50% more damping than the actual plant. The weights converge to a solution which increases the performance of the controller.

scholarly journals The Hinf Model Following Control: An LMI Approach

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Control Problem ◽  
Output Feedback ◽  
Closed Loop ◽  
Feedback Controller ◽  
Dynamic Output Feedback ◽  
Closed Loop System ◽  
Output Feedback Controller ◽  
Model Following Control ◽  
Model Following ◽  
Dynamic Output Feedback Controller

The aim of this paper is to develop a new approach for a solution of the model following control (MFC) problem with a dynamic compensator by using linear matrix inequalities (LMIs). TheH1 model following control problem is derived following LMI formulation. First, the H1 optimal control problem is revisited by referring to Lemmas assuring all admissible controllers minimizing the H1 norm of the transfer function between the exogenous inputs and the outputs. Then, the solvability condition and a design procedure for a two degrees of freedom (2 DOF) dynamic feedback control law is introduced. The existence of a 2 DOF dynamic output feedback controller for the model following control is proven and the stability of the closed-loop system is satisfied by assuring the Hurwitz condition. The benchmark thermal process (PT-326) as the first order process with timedelay is regulated by the presented 2 DOF dynamic output feedback controller. The simulation results illustrate that the presented controller regulates a system with dead-time as a large set of generic industrial systems and the H1 norm of the closed-loop system is assured less than the H1 norm of the desired model system.

Position Control of Single Link Flexible Manipulator by Variable Structure Model Following Control

1997 ◽  
Vol 119 (2) ◽  
pp. 330-335 ◽  
Author(s):  
S. Thomas ◽  
B. Bandyopadhyay
Keyword(s):  
Position Control ◽  
Variable Structure ◽  
Second Order ◽  
Flexible Manipulator ◽  
Step Response ◽  
Structure Model ◽  
Model Following Control ◽  
Model Following ◽  
Position Response ◽  
Tip Position

A variable structure model following controller (VSMFC) is designed for the tip position control of a single flexible link. The design is done for the system model in which only the first two flexible modes are included. Due to the simplicity in choosing second order models for the subsystems representing the dynamics of the various flexible modes, the design can be easily extended to include any desired number of flexible modes. The tip position response is made to assume a second order step response by suppressing the flexible modes very quickly. Hence the tip position response can be easily controlled by a suitable choice of the damping factor and natural frequency of the second order model which the rigid body mode of the link is made to follow. The controller is robust to parameter variations and disturbances.

scholarly journals PID Controller optimization using Metahuristic Controller with Different Nonlinearities

2021 ◽  
Vol 12 (2) ◽  
pp. 764-771
Author(s):  
G. Sundari, Et. al.
Keyword(s):  
Steady State ◽  
Pid Controller ◽  
Closed Loop ◽  
Error Function ◽  
Second Order ◽  
Settling Time ◽  
Order System ◽  
Pid Controllers ◽  
Dynamic Performances ◽  
Conventional Methods

This paper mainly explains the application of Metaherustic controller for tuning the parameter of PID controller. The minimization of error function has been done by improving the static and dynamic performances of the system like steady state error, Peak Overshoot, and Settling Time. This could be possible by means of applying metaherustic controller like GA in tuning the PID controllers under different Nonlinearities. The main intention of this paper is to support the specifications of PID controller at various Nonlinearities such as sinusoidal and saw tooth noise. The projected scheme derives the wonderful closed-loop response of second order system and then, it provides the effectiveness of the proposed method compared to the conventional methods.

A Study on Parameter Tuning of Fractional Order PIλ-PDμ Controller

2014 ◽  
Vol 1049-1050 ◽  
pp. 977-982
Author(s):  
Hui Juan Bian ◽  
Zhi Dong Qi ◽  
Liang Shan ◽  
Bo Yang Leng
Keyword(s):  
Fractional Order ◽  
Feedback Loop ◽  
Closed Loop ◽  
Control Structure ◽  
Dynamic Performance ◽  
Parameter Tuning ◽  
Order System ◽  
Reasonable Range ◽  
Static Performance ◽  
Forward Channel

Aiming at a kind of special object with fractional characteristics,a new kind of fractional order PIλ-PDμ controller is put forward in this paper,In this control system, the forward channel of system contains a fractional order PIλ controller,while the feedback loop adopts PDμ controller.The control structure in this fractional order system can achieve a good performance of the closed loop control.Moreover,the impacts on system dynamic performance and static performance are compared when the parameters in the controller are changed.The results show that when these parameters are in the reasonable range,the system can achieve better control performance.

On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems

2020 ◽  
Vol 26 ◽  
pp. 41
Author(s):  
Tianxiao Wang
Keyword(s):  
Optimal Control ◽  
Closed Loop ◽  
Optimal Control Problems ◽  
Mean Field ◽  
Open Loop ◽  
Time Inconsistency ◽  
Control Problems ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Equilibrium Strategies

This article is concerned with linear quadratic optimal control problems of mean-field stochastic differential equations (MF-SDE) with deterministic coefficients. To treat the time inconsistency of the optimal control problems, linear closed-loop equilibrium strategies are introduced and characterized by variational approach. Our developed methodology drops the delicate convergence procedures in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. When the MF-SDE reduces to SDE, our Riccati system coincides with the analogue in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. However, these two systems are in general different from each other due to the conditional mean-field terms in the MF-SDE. Eventually, the comparisons with pre-committed optimal strategies, open-loop equilibrium strategies are given in details.

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