Feedback Linearizing Control of Surge in an Axial Compression System: Theory and Experimental Validation

1995 ◽  
Author(s):  
O. O. Badmus ◽  
S. Chowdhury ◽  
C. N. Nett
Keyword(s):  
Feedback Control ◽  
Closed Loop ◽  
Controller Design ◽  
Dynamic Pressure ◽  
Axial Compressor ◽  
State Feedback Control ◽  
Effective Length ◽  
Control Input ◽  
System Input ◽  
System Output

This paper presents experimental demonstration of surge stabilization in an axial compressor rig with a feedback linearizing controller. The controller design approach is model-based, and hence a nonlinear surge model for the facility is first validated. The surge model is a modification of the classic one-dimensional incompressible fluid surge model, with an effective length function incorporated, to account for the increased path-length of the fluid in the compressor due to the imparted tangential forces of the blade. This model, which adequately describes the observed surge dynamics both in terms of amplitude and frequency of oscillation, is then used to develop the feedback control law. The feedback linearizing control input implicitly linearizes the dynamics between the system input, throttle area parameter, and the system output, inlet dynamic pressure. A linear state feedback control input, implemented on the feedback linearized system thus ensures stabilization of the surge dynamics in the original nonlinear model. Finally, the nonlinear based observer is included in closed loop implementation to enhance the tracking of the system output, and also to minimize the adverse effect of measurement noise, thereby improving closed loop system performance.

A Linear Matrix Inequality Approach to Output Feedback Control of Fractional-Order Unified Chaotic Systems With One Control Input

2016 ◽  
Vol 11 (5) ◽  
Author(s):  
Pitcha Khamsuwan ◽  
Suwat Kuntanapreeda
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Direct Method ◽  
Output Feedback Control ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Control Input ◽  
Unified Chaotic Systems ◽  
System Output

This paper focuses on stabilization of fractional-order unified chaotic systems. In contrast to existing methods in literature, the proposed method requires only the system output for feedback and uses only one control input. The controller consists of a state feedback control law and a dynamic estimator. Sufficient stability conditions are derived using a fractional-order extension of the Lyapunov direct method and a new lemma of the Caputo fractional derivative. The conditions are expressed in the form of linear matrix inequalities (LMIs). All the parameters of the controller can be simultaneously obtained by solving the LMIs. Numerical simulations are provided to illustrate the feasibility and effectiveness of the proposed method.

Adaptive Predictor-Based Output Feedback Control for a Class of Unknown MIMO Linear Systems: Experimental Results

2014 ◽  
Author(s):  
Chuong Hoang Nguyen ◽  
Alexander Leonessa
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Reference System ◽  
State Feedback Control ◽  
Experimental Results ◽  
Control Input ◽  
Test Bed ◽  
Full State ◽  
System Output

Experimental results are presented to validate a recently developed adaptive output feedback controller for a general class of unknown MIMO linear systems. The control approach relies on three components, a predictor, a reference model, and a controller. Specifically, since the predictor is designed to predict the system’s output for any admissible control input, controlling the uncertain system is reduced to controlling the predictor, which is a virtual system with known dynamics and full state available. Subsequently, a full state feedback control law is designed to control the predictor output to approach the reference system, while the reference system tracks the desired trajectory while accounting for the actuator amplitude and rate saturation constraints. Ultimately, the control objective of driving the actual system output to track the desired trajectories is achieved by showing that the system output, the predictor output, and the reference system trajectories all converge to each other. Theorems and the step-by-step implementation of the control strategy are presented. Finally, the control’s efficacy is illustrated by a real time implementation of the proposed algorithm on an actual helicopter test bed.

Adaptive Predictor-Based Output Feedback Control for a Class of Unknown MIMO Linear Systems

2014 ◽  
Author(s):  
Chuong Hoang Nguyen ◽  
Alexander Leonessa
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Reference System ◽  
Reference Model ◽  
Output Feedback Control ◽  
State Feedback Control ◽  
Control Input ◽  
Actual System ◽  
System Output

In this paper, the problem of characterizing adaptive output feedback control laws for a general class of unknown MIMO linear systems is considered. Specifically, the presented control approach relies on three components, a predictor, a reference model, and a controller. The predictor is designed to predict the system’s output with arbitrary accuracy, for any admissible control input. Subsequently, a full state feedback control law is designed to control the predictor output to approach the reference system, while the reference system tracks the desired trajectory. Ultimately, the control objective of driving the actual system output to track the desired trajectories is achieved by showing that the system output, the predictor output, and the reference system trajectories all converge to each other.

scholarly journals PD Plus Dynamic Pressure Feedback Control for a Direct Drive Stewart Manipulator

Energies ◽  
2020 ◽  
Vol 13 (5) ◽  
pp. 1125 ◽  
Author(s):  
Chenyang Zhang
Keyword(s):  
Control System ◽  
Feedback Control ◽  
Dynamic Characteristics ◽  
Control Strategy ◽  
Dynamic Pressure ◽  
Control Input ◽  
Servo Motor ◽  
Direct Drive ◽  
Pressure Feedback ◽  
Current Coupling

In order to ensure good dynamic characteristics, servo valve is usually adopted as the drive part of Stewart manipulator which causes huge power consumption, while direct drive electro-hydraulic servo system has the advantages of energy saving, simple structure, convenient installation, and low failure rate. But its dynamic characteristics are so poor that it can only be applied to occasions where quick response is not needed. On the consideration above, following works are done in this paper. Since current coupling exists in the control system based on the speed of the servo motor as the control input, the control system of the direct drive Stewart manipulator is established based on the current of the servo motor as the control input in which the current coupling can be solved. In order to improve the dynamic characteristics of the direct drive Stewart manipulator, a Proportion Differentiation (PD) plus dynamic pressure feedback control strategy is also put forward in this paper, which is verified by using a simulated hydraulically driven Stewart manipulator. Simulation results show that both dynamic coupling and current coupling are solved and the control strategy proposed in this paper can significantly increase the bandwidths of all degrees of freedom.

scholarly journals Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
M. Rajchakit ◽  
P. Niamsup ◽  
T. Rojsiraphisal ◽  
G. Rajchakit
Keyword(s):  
Neural Networks ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Performance Measure ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Delayed Neural Networks ◽  
Guaranteed Cost

This paper studies the problem of guaranteed cost control for a class of uncertain delayed neural networks. The time delay is a continuous function belonging to a given interval but not necessary to be differentiable. A cost function is considered as a nonlinear performance measure for the closed-loop system. The stabilizing controllers to be designed must satisfy some exponential stability constraints on the closed-loop poles. By constructing a set of augmented Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a guaranteed cost controller is designed via memoryless state feedback control, and new sufficient conditions for the existence of the guaranteed cost state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.

Distributed LPV State-Feedback Control Under Control Input Saturation

2017 ◽  
Vol 62 (5) ◽  
pp. 2450-2456 ◽  
Author(s):  
Azita Dabiri ◽  
Balazs Kulcsar ◽  
Hakan Koroglu
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Input Saturation ◽  
State Feedback Control ◽  
Control Input

scholarly journals A Systematic Controller Design for a Photovoltaic Generator with Boost Converter Using Integral State Feedback Control

2019 ◽  
Vol 9 (2) ◽  
pp. 4030-4036 ◽  
Author(s):  
Z. R. Labidi ◽  
H. Schulte ◽  
A. Mami
Keyword(s):  
Feedback Control ◽  
State Space ◽  
State Feedback ◽  
Controller Design ◽  
State Space Model ◽  
Boost Converter ◽  
State Feedback Control ◽  
Solar Irradiation ◽  
Photovoltaic Array ◽  
Pv Generator

In this paper, a systematic controller design for a photovoltaic generator with boost converter using integral state feedback control is proposed. It is demonstrated that the state–space feedback enables the extraction of maximum available power under variable loads. For this purpose, a control-oriented state-space model of a photovoltaic array connected to a DC load by a boost converter is derived. This model is then linearized by one working point, but no further simplifications are made. The design-oriented model contains the dynamics of PV generator, boost converter, and the load. The controller design is based on the augmented model with an integral component. The controller is validated by a detailed plant model implemented in Simscape. The robustness of the controller with variable solar irradiation and DC load changes is demonstrated.

Current controller design for DFIG‐based wind turbines using state feedback control

2019 ◽  
Vol 13 (11) ◽  
pp. 1938-1948 ◽  
Author(s):  
Ahmed G. Abo‐Khalil ◽  
Ali Alghamdi ◽  
I. Tlili ◽  
Ali M. Eltamaly
Keyword(s):  
Feedback Control ◽  
Wind Turbines ◽  
State Feedback ◽  
Controller Design ◽  
State Feedback Control ◽  
Current Controller
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