Nonlinear H∞-Output Regulation of a Nonminimum Phase Servomechanism With Backlash

2006 ◽  
Vol 129 (4) ◽  
pp. 544-549 ◽  
Author(s):  
L. T. Aguilar ◽  
Y. Orlov ◽  
J. C. Cadiou ◽  
R. Merzouki
Keyword(s):  
Experimental Study ◽  
System Performance ◽  
Closed Loop ◽  
Output Regulation ◽  
Feedback Controller ◽  
Control Synthesis ◽  
Closed Loop System ◽  
External Disturbances ◽  
Nonminimum Phase ◽  
Output Regulation Problem

Nonlinear H∞ control synthesis is extended to an output regulation problem for a servomechanism with backlash. The problem in question is to design a feedback controller so as to obtain the closed-loop system in which all trajectories are bounded and the load of the driver is regulated to a desired position while also attenuating the influence of external disturbances. Provided the servomotor position is the only measurement available for feedback, the proposed extension is far from trivial because of nonminimum phase properties of the system. Performance issues of the nonlinear H∞-output regulator constructed are illustrated in an experimental study.

The Implementation of the Minimal Control Synthesis Algorithm on a Web Control Problem

1994 ◽  
Vol 208 (1) ◽  
pp. 53-60 ◽  
Author(s):  
D P Stoten ◽  
M G Dye ◽  
M Webb
Keyword(s):  
Closed Loop ◽  
Control Synthesis ◽  
Time Varying ◽  
Closed Loop System ◽  
Synthesis Algorithm ◽  
Time Varying Parameters ◽  
Transport Control ◽  
Adaptive Control Strategy ◽  
Web Control ◽  
Experimental Comparisons

The minimal control synthesis (MCS) algorithm is an adaptive control strategy that requires no prior knowledge of plant dynamic parameters, and yet is guaranteed to provide global asymptotic stability of the closed-loop system. The purpose of this paper is to present MCS as applied to web tension und transport control a class of plant that has highly non-linear dynamics and time-varying parameters. The plant is difficult to control by conventional methods over its full operating range. A typical example and model of such a plant is presented along with the implementation of MCS. Experimental comparisons of MCS with conventional control benchmarks are provided. It will be seen that MCS significantly outperforms the conventional controller.

Numerical and experimental study of a thermosyphon closed‐loop system for domestic applications

Heat Transfer ◽  
2020 ◽  
Vol 50 (1) ◽  
pp. 292-312
Author(s):  
Ayoob Khalid Jasim ◽  
Basim Freegah ◽  
Mohammed Hamed Alhamdo
Keyword(s):  
Experimental Study ◽  
Closed Loop ◽  
Loop System ◽  
Closed Loop System

Boundary output feedback stabilization of transport equation with non-local term

2019 ◽  
Vol 37 (3) ◽  
pp. 752-764
Author(s):  
Liping Wang ◽  
Feng-Fei Jin
Keyword(s):  
Transport Equation ◽  
Output Feedback ◽  
Closed Loop ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Closed Loop System ◽  
Output Feedback Stabilization ◽  
Exponentially Stable ◽  
Non Local ◽  
Local Term

Abstract In this paper, we are concerned with boundary output feedback stabilization of a transport equation with non-local term. First, a boundary state feedback controller is designed by a backstepping approach. The closed-loop system is proved to be exponentially stable by the equivalence between original and target system. Then, we design an output feedback controller based on an infinite-dimensional observer. It is shown that the result closed-loop system is also exponentially stable. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed feedback controller.

Robust Fault Tolerant Control for Spacecraft Attitude Stabilization Under Actuator Faults and Bounded Disturbance

2011 ◽  
Vol 133 (5) ◽  
Author(s):  
Bing Xiao ◽  
Qinglei Hu ◽  
Michael I. Friswell
Keyword(s):  
Closed Loop ◽  
Fault Tolerant ◽  
Fault Detection And Isolation ◽  
Spacecraft Attitude ◽  
Actuator Faults ◽  
Closed Loop System ◽  
External Disturbances ◽  
Attitude Stabilization ◽  
Bounded Disturbance ◽  
Loss Of Actuator Effectiveness

This paper investigates the design of spacecraft attitude stabilization controllers that are robust against actuator faults and external disturbances. A nominal controller is developed initially, using the adaptive backstepping technique, to stabilize asymptotically the spacecraft attitude when the actuators are fault-free. Additive faults and the partial loss of actuator effectiveness are considered simultaneously and an auxiliary controller is designed in addition to the nominal controller to compensate for the system faults. This auxiliary controller does not use any fault detection and isolation mechanism to detect, separate, and identify the actuator faults online. The attitude orientation and angular velocity of the closed-loop system asymptotically converge to zero despite actuator faults providing the nominal attitude system is asymptotically stable. Numerical simulation results are presented that demonstrate the closed-loop performance benefits of the proposed control law and illustrate its robustness to external disturbances and actuator faults.

Design of Output Feedback Controller for Switched Fuzzy Systems with Time-Delay

2014 ◽  
Vol 635-637 ◽  
pp. 1443-1446
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Time Delay ◽  
Output Feedback ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Closed Loop System ◽  
Output Feedback Controller ◽  
And Control

This paper investigates the problems of stabilization and control for time-delay switched fuzzy systems using output feedback controller. Based on the linear matrix inequality (LMI) technique, multiple Lyapunov method is used to obtain a sufficient condition for the existence of the controller for the output feedback. Then an algorithm is constructed to transform the sufficient condition into a LMI form, thus obtaining a method for designing the controller. The designed controller guarantees the closed-loop system to be asympototically stable. A numerical example is given to show the effectiveness of our method.

The error-based minimal control synthesis algorithm with integral action

2003 ◽  
Vol 217 (3) ◽  
pp. 187-201 ◽  
Author(s):  
D P Stoten ◽  
S A Neild
Keyword(s):  
Closed Loop ◽  
Control Synthesis ◽  
Closed Loop System ◽  
Synthesis Algorithm ◽  
The Core ◽  
Gain Term ◽  
Integral Action ◽  
Implementation Studies ◽  
Hyperstability Theory ◽  
Integral Gain

This paper presents a new form of the direct adaptive minimal control synthesis (MCS) algorithm. As its name suggests, the error-based minimal control synthesis with integral action (Er-MCSI) algorithm is solely driven by error signals that are generated within the closed-loop system, and contains an explicit integral gain term. The purpose of this new structure is, respectively, to remove the problem of variable adaptive effort with changes in the operating set point, and to remove gain ‘wind-up’ effects due to plant disturbances and signal offsets. The core of this paper contains a proof of stability for Er-MCSI, based on hyperstability theory, together with supporting simulation and implementation studies.

Output regulation for switched LPV systems with Markovian jump parameters and its application

2017 ◽  
Vol 40 (9) ◽  
pp. 2831-2842 ◽  
Author(s):  
Dong Yang ◽  
Jun Zhao ◽  
Guangdeng Zong
Keyword(s):  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Output Regulation ◽  
Feedback Controller ◽  
Markovian Jump ◽  
Markovian Jump Parameters ◽  
Engine Model ◽  
Lpv Systems ◽  
Aero Engine ◽  
Output Regulation Problem

This paper deals with the output regulation problem for switched linear parameter-varying (LPV) systems with Markovian jump parameters under partially unknown transition probabilities. Our aim is to find a feedback controller, such that the regulated output asymptotically converges to zero and the closed-loop system is stochastically stable when [Formula: see text]. Firstly, we give sufficient conditions for the solvability of the output regulation problem. Then, using the parameter-dependent stochastic Lyapunov functions method, we design a state feedback controller and a regulation observer-based controller for individual switched LPV subsystems to solve the output regulation problem for the given systems. Finally, the output regulation problem of an aero-engine model is investigated, and the effectiveness of the proposed control design scheme is illustrated by its application to a speed regulation problem of an aero-engine.

scholarly journals Adaptive Robust Quadratic Stabilization Tracking Control for Robotic System with Uncertainties and External Disturbances

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Jinzhu Peng ◽  
Yan Liu
Keyword(s):  
Closed Loop ◽  
Robot Manipulator ◽  
Variable Structure ◽  
Robotic System ◽  
Loop System ◽  
Closed Loop System ◽  
Hybrid Scheme ◽  
External Disturbances ◽  
Control Approach ◽  
Quadratic Stabilization

An adaptive robust quadratic stabilization tracking controller with hybrid scheme is proposed for robotic system with uncertainties and external disturbances. The hybrid scheme combines computed torque controller (CTC) with an adaptive robust compensator, in which variable structure control (VSC) andH∞optimal control approaches are adopted. The uncertain robot manipulator is mainly controlled by CTC, the VSC is used to eliminate the effect of the uncertainties and ensure global stability, andH∞approach is designed to achieve a certain tracking performance of closed-loop system. A quadratic stability approach, which allows separate treatment of parametric uncertainties, is used to reduce the conservatism of the conventional robust control approach. It can be also guaranteed that all signals in closed-loop system are bounded. The validity of the proposed control scheme is shown by computer simulation of a two-link robotic manipulator.

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.

Sign in / Sign up

Export Citation Format

Share Document