Reduced order shunt nonlinear adaptive controller

1997 ◽  
Author(s):  
A. L. Fradkov ◽  
M. V. Druzhinina
Keyword(s):  
Adaptive Controller ◽  
Reduced Order

A Stabilization of Fixed Gain Controlled Infinite Dimensional Systems by Augmentation With Direct Adaptive Control

2017 ◽  
Author(s):  
Mark J. Balas ◽  
Susan A. Frost
Keyword(s):  
Closed Loop ◽  
Adaptive Controller ◽  
Open Loop ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Transmission Zeros ◽  
Exponentially Stable

Linear infinite dimensional systems are described by a closed, densely defined linear operator that generates a continuous semigroup of bounded operators on a general Hilbert space of states and are controlled via a finite number of actuators and sensors. Many distributed applications are included in this formulation, such as large flexible aerospace structures, adaptive optics, diffusion reactions, smart electric power grids, and quantum information systems. We have developed the following stability result: an infinite dimensional linear system is Almost Strictly Dissipative (ASD) if and only if its high frequency gain CB is symmetric and positive definite and the open loop system is minimum phase, i.e. its transmission zeros are all exponentially stable. In this paper, we focus on infinite dimensional linear systems for which a fixed gain linear infinite or finite dimensional controller is already in place. It is usually true that fixed gain controllers are designed for particular applications but these controllers may not be able to stabilize the plant under all variations in the operating domain. Therefore we propose to augment this fixed gain controller with a relatively simple direct adaptive controller that will maintain stability of the full closed loop system over a much larger domain of operation. This can ensure that a flexible structure controller based on a reduced order model will still maintain closed-loop stability in the presence of unmodeled system dynamics. The augmentation approach is also valuable to reduce risk in loss of control situations. First we show that the transmission zeros of the augmented infinite dimensional system are the open loop plant transmission zeros and the eigenvalues (or poles) of the fixed gain controller. So when the open-loop plant transmission zeros are exponentially stable, the addition of any stable fixed gain controller does not alter the stability of the transmission zeros. Therefore the combined plant plus controller is ASD and the closed loop stability when the direct adaptive controller augments this combined system is retained. Consequently direct adaptive augmentation of controlled linear infinite dimensional systems can produce robust stabilization even when the fixed gain controller is based on approximation of the original system. These results are illustrated by application to a general infinite dimensional model described by nuclear operators with compact resolvent which are representative of distributed parameter models of mechanically flexible structures. with a reduced order model based controller and adaptive augmentation.

scholarly journals Multivariable robust adaptive controller using reduced-order model

1990 ◽  
Vol 11 (2) ◽  
pp. 73-88 ◽  
Author(s):  
Magne Hillestad ◽  
C. Sørlie ◽  
T.F. Anderson ◽  
I. Olsen ◽  
Terje Hertzberg
Keyword(s):  
Adaptive Controller ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Robust Adaptive ◽  
Robust Adaptive Controller

Reduced order indirect self-tuning regulator for a novel pneumatic tele-operation system

2019 ◽  
Vol 234 (3) ◽  
pp. 370-383
Author(s):  
Mohamad Baayoun ◽  
Naseem Daher ◽  
Matthias Liermann
Keyword(s):  
Adaptive Control ◽  
Control System ◽  
Force Feedback ◽  
Adaptive Controller ◽  
Adaptive Control System ◽  
Bilateral Control ◽  
Active Components ◽  
Operation System ◽  
Reduced Order ◽  
Self Tuning

This article presents a reduced order indirect self-tuning regulator for a passive pneumatic tele-operation system, which is intended for use in medical surgeries in magnetic resonance imaging environments with short transmission distances ([Formula: see text]), where force feedback is required. The novel tele-operation system uses less active components as compared to conventional systems and realizes a bilateral control without the use of a force or pressure sensor. The proposed adaptive control system is validated in simulation and experimentation on a test rig built for this purpose. Special attention is given to the notion of transparency of the system, which is the ratio between the resistance of the master device experienced by the operator and the actual resistance of the remote environment in contact with the slave device. The adaptive controller shows advantage over a previously designed non-adaptive control system design in terms of stiffness, damping, and transparency.

scholarly journals Modeling and Control of Distillation Column in a Petroleum Process

2009 ◽  
Vol 2009 ◽  
pp. 1-14 ◽  
Author(s):  
Vu Trieu Minh ◽  
Ahmad Majdi Abdul Rani
Keyword(s):  
Linear Model ◽  
Distillation Column ◽  
Reference Model ◽  
Adaptive Controller ◽  
Modeling And Control ◽  
Reduced Order ◽  
Order Linear ◽  
Balance Structure ◽  
And Control ◽  
Model Reference Adaptive

This paper introduces a calculation procedure for modeling and control simulation of a condensate distillation column based on the energy balance structure. In this control, the reflux rate and the boilup rate are used as the inputs to control the outputs of the purity of the distillate overhead and the impurity of the bottom products. The modeling simulation is important for process dynamic analysis and the plant initial design. In this paper, the modeling and simulation are accomplished over three phases: the basic nonlinear model of the plant, the full-order linearised model, and the reduced-order linear model. The reduced-order linear model is then used as the reference model for a model-reference adaptive control (MRAC) system to verify the applicable ability of a conventional adaptive controller for a distillation column dealing with the disturbance and the model-plant mismatch as the influence of the plant feed disturbances.

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