Robust attitude control of the three-dimensional unknown chaotic satellite system

2021 ◽  
pp. 014233122110561
Author(s):  
Muhammad Shafiq ◽  
Israr Ahmad ◽  
O Abdullah Almatroud ◽  
M Mossa Al-Sawalha
Keyword(s):  
Attitude Control ◽  
Closed Loop ◽  
Three Dimensional ◽  
Adaptive Controller ◽  
The State ◽  
Feedback Gain ◽  
State Variables ◽  
Nonlinear Controller ◽  
Model Uncertainties ◽  
Control Effort

This paper proposes a novel continuous-time robust direct adaptive controller for the attitude control of the three-dimensional unknown chaotic spacecraft system. It considers that the plant’s nonlinear terms, exogenous disturbances, and model uncertainties are unknown and bounded; the controller design is independent of the system’s nonlinear terms. These controller attributes flourish the robust performance of the closed-loop and establish smooth state vector convergence to zero. The proposed controller consists of three parts: (1) a linear controller establishes the stability of the closed-loop at the origin, (2) a nonlinear controller component that autonomously adjusts the feedback gain, and (3) a nonlinear adaptive controller compensates for the model uncertainties and external disturbances using the online estimates of bounds and model uncertainties. The output of this part remains within a given upper and lower bound. The feedback controller gain is large when the state variables are away from the origin and become small in the origin’s vicinity. This feature is novel and contributes to the synthesis of smooth control effort that establishes robust fast and oscillation-free convergence of the state variables to zero. The Lyapunov direct stability analysis assures the global asymptotic robust stability of the closed-loop. Computer simulations and comparative analysis are included to verify the theoretical findings.

scholarly journals Simulation of Performance Response of State Variables of a Chemical Boiler Process

2018 ◽  
pp. 1-5
Author(s):  
Donatus O. Njoku ◽  
Asagba P. O ◽  
Chilaka U. Longinus ◽  
Amaefule I. A. ◽  
Igwe S. Onyema
Keyword(s):  
Transfer Function ◽  
Closed Loop ◽  
Control Process ◽  
Open Loop ◽  
The State ◽  
Feedback Gain ◽  
State Variables ◽  
Simulink Model ◽  
Performance Response ◽  
Optimal Regulator

This paper has presented simulation of performance response of state variables of a chemical boiler process. The transfer function of a boiler flow control process of a chemical plant was obtained. The transfer function was transformed into state space form to study the state variables of the system. An optimal regulator was designed using MATLAB programme. The developed optimal regulator was added to the loop of the system to form a closed loop system. A Simulink model was developed and used to study performance response of the system. Simulation was carried out for two conditions, open loop and closed loop. The simulation results indicated that the performance responses of the state variables were improved and better stability achieved with the inclusion of the designed feedback gain matrix of the optimal regulator.

scholarly journals Zeroing of state variables in fractional descriptor electrical circuits by state-feedbacks

2014 ◽  
Vol 63 (3) ◽  
pp. 321-333
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Closed Loop ◽  
Sufficient Conditions ◽  
The State ◽  
Necessary And Sufficient Conditions ◽  
State Variables ◽  
Electrical Circuits ◽  
Closed Loop Systems ◽  
Necessary And Sufficient

Abstract The problem of zeroing of the state variables in fractional descriptor electrical circuits by state-feedbacks is formulated and solved. Necessary and sufficient conditions for the existence of gain matrices such that the state variables of closed-loop systems are zero for time greater zero are established. The procedure of choice of the gain matrices is demonstrated on simple descriptor electrical circuits with regular pencils

Robust Output Regulation Approach for Attitude Control and Momentum Management of the Space Station

2015 ◽  
Vol 719-720 ◽  
pp. 316-323
Author(s):  
Yong Liu ◽  
Wei Huo
Keyword(s):  
Attitude Control ◽  
Closed Loop ◽  
Space Station ◽  
Output Regulation ◽  
Management Problem ◽  
Closed Loop System ◽  
Model Uncertainties ◽  
Robust Output Regulation ◽  
Regulation Approach ◽  
Momentum Management

An novel methodology to solve the attitude control and momentum management problem of the space station with model uncertainties is developed. By the use of the robust output regulation theory, the attitude control and momentum management integrating model and the internal model of disturbances are combined to design a robust coupling controller such that the plant outputs track desired reference signals and the model uncertainties can be tolerated. It is proved that the designed controller guarantees stability of the closed-loop system and suppresses the disturbance well. Simulation results are provided to demonstrate the feasibility of the proposed method.

scholarly journals Optimal load frequency control through combined state and control gain estimation for noisy measurements

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Anju G. Pillai ◽  
Elizabeth Rita Samuel ◽  
A. Unnikrishnan
Keyword(s):  
Frequency Control ◽  
The State ◽  
Feedback Stabilization ◽  
Load Frequency Control ◽  
Feedback Gain ◽  
State Variables ◽  
Linear Quadratic ◽  
System Parameters ◽  
Load Frequency ◽  
Optimal Load

AbstractCombined estimation of state and feed-back gain for optimal load frequency control is proposed. Load frequency control (LFC) addresses the problem of controlling system frequency in response to disturbance, and is one of main research areas in power system operation. A well acknowledged solution to this problem is feedback stabilization, where the Linear Quadratic Regulator (LQR) based controller computes the feedback gain K from the known system parameters and implements the control, assuming the availability of all the state variables. However, this approach restricts control to cases where the state variables are readily available and the system parameters are steady. Alternatively, by estimating the states continuously from available measurements of some of the states, it can accommodate dynamic changes in the system parameters. The paper proposes the technique of augmenting the state variables with controller gains. This introduces a non-linearity to the augmented system and thereby the estimation is performed using an Extended Kalman Filter. This results in producing controller gains that are capable of controlling the system in response to changes in load demand, system parameter variation and measurement noise.

scholarly journals New Tuning Approach of Fuzzy Logic System Using Proportional Integral Observer for Tracking a Nonlinear System

2021 ◽  
Author(s):  
Mustefa Jibril
Keyword(s):  
Fuzzy Logic ◽  
Nonlinear System ◽  
The State ◽  
State Variables ◽  
Hydraulic Actuator ◽  
Nonlinear Controller ◽  
Nonlinear Method ◽  
Proportional Integral ◽  
Road Disturbance ◽  
System Output

Proportional integral observer (PIO) for tracking a nonlinear method has a lower sentiency to cipher the state and output variables. So a more nonlinear controller has to be else to control to activity. In this paper, a fuzzy logic (FLC) controller has been added to the PIO to meliorate the calculation transmute. A fuzzy proportional integral observer (FPIO) for following a nonlinear system has been premeditated to decimate the susceptibleness to cipher the tell and turnout variables with the existent posit and product variables. The FPIO controller has been tested for improving the estimation control using a nonlinear quarter vehicle active suspension system with a nonlinear hydraulic actuator. A comparison simulation of the proposed nonlinear system for estimating the state variables and tracking the output (suspension deflection) with a set point bump road disturbance using FPIO and PIO. The comparison simulation result shows that the estimated state variables and system output match the actual ones perfectly using a fuzzy PIO controller.

A State-Space-Based Stress Analysis of a Multilayered Spherical Shell With Spherical Isotropy

2000 ◽  
Vol 68 (1) ◽  
pp. 109-114 ◽  
Author(s):  
W. Q. Chen ◽  
H. J. Ding
Keyword(s):  
Spherical Shell ◽  
Stress Analysis ◽  
Matrix Theory ◽  
Three Dimensional ◽  
The State ◽  
State Variables ◽  
State Equations ◽  
Independent State ◽  
Spherical Isotropy ◽  
Constant Coefficients

This paper presents an exact static stress analysis of a multilayered elastic spherical shell (hollow sphere) completely based on three-dimensional elasticity for spherical isotropy. Two independent state equations are derived after introducing three displacement functions and two stress functions. In particular, a variable substitution technique is used to derive the state equations with constant coefficients. Matrix theory is then employed to obtain the relationships between the state variables at the upper and lower surfaces of each lamina. By virtue of the continuity conditions between two adjacent layers, a second-order linear algebraic equation and a fourth-order one about the boundary variables at the inner and outer surfaces of a multilayered spherical shell are obtained. Numerical examples are presented to show the effectiveness of the present method.

scholarly journals Dynamic Control Applied to a Laboratory Antilock Braking System

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Cuauhtémoc Acosta Lúa ◽  
Bernardino Castillo Toledo ◽  
Stefano Di Gennaro ◽  
Marcela Martinez-Gardea
Keyword(s):  
Dynamic Control ◽  
Difficult Problem ◽  
The State ◽  
Nonlinear Observer ◽  
State Variables ◽  
Nonlinear Controller ◽  
Braking System ◽  
Laboratory Setup ◽  
Antilock Braking System ◽  
Antilock Braking

The control of an antilock braking system is a difficult problem due to the existence of nonlinear dynamics and uncertainties of its characteristics. To overcome these issues, in this work, a dynamic nonlinear controller is proposed, based on a nonlinear observer. To evaluate its performance, this controller has been implemented on an ABS Laboratory setup, representing a quarter car model. The nonlinear observer reconstructs some of the state variables of the setup, assumed not measurable, to establish a fair benchmark for an ABS system of a real automobile. The dynamic controller ensures exponential convergence of the state estimation, as well as robustness with respect to parameter variations.

Fixing the state-feedback gain by choice of closed-loop eigensystem

1977 ◽  
Author(s):  
G. Verghese ◽  
T. Kailath
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
The State ◽  
Feedback Gain

Output feedback control with H∞ performance for saturated linear systems with magnitude and rate constraints

2011 ◽  
Vol 225 (7) ◽  
pp. 1005-1017 ◽  
Author(s):  
P-C Chen ◽  
S-L Wu ◽  
K-Y Chang
Keyword(s):  
Attitude Control ◽  
Controller Design ◽  
Output Feedback Control ◽  
Feedback Gain ◽  
Control Effort ◽  
Design Algorithm ◽  
Actuator Dynamics ◽  
Satellite Attitude Control ◽  
New States ◽  
Rate Constraints

The dynamic behaviour of controlled systems depend significantly on the allowable magnitude and change rate of the control efforts, which need to be considered during controller design. The controller design algorithm investigated in this paper can independently address both the magnitude and rate constraints and their effect on actuator dynamics. The integral dynamics are augmented to the systems actuator. The original control effort is formulated as new states in the augmented dynamics formulation, and the inputs of the integrator represent the rate of the control effort. The feedback gain is then designed to obtain suitable actuator dynamics such that the desired H∞ performance can be optimized and the magnitude of the rate constraints can be satisfied. Using satellite attitude control and aircraft longitudinal control as case studies, the effectiveness of the proposed algorithm is verified through achievable H∞ performance and time response simulations with various chosen constraints on the magnitude and rate of the control.

Position-Based Visual Servoing of a Micro-Aerial Vehicle Operating Indoor

2018 ◽  
Vol 141 (1) ◽  
Author(s):  
Hanoch Efraim ◽  
Amir Shapiro ◽  
Moshe Zohar ◽  
Gera Weiss
Keyword(s):  
Visual Servoing ◽  
3D Model ◽  
Closed Loop ◽  
Specific Problem ◽  
Three Dimensional ◽  
Adaptive Controller ◽  
Single Image ◽  
Micro Aerial Vehicle ◽  
Aerial Vehicle ◽  
Gain Scheduled

In this work, we suggest a novel solution to a very specific problem—calculating the pose (position and attitude) of a micro-aerial vehicle (MAV) operating inside corridors and in front of windows. The proposed method makes use of a single image captured by a front facing camera, of specific features whose three-dimensional (3D) model is partially known. No prior knowledge regarding the size of the corridor or the window is needed, nor is the ratio between their width and height. The position is calculated up to an unknown scale using a gain scheduled iterative algorithm. In order to compensate for the unknown scale, an adaptive controller that ensures consistent closed loop behavior is suggested. The attitude calculation can be used as is, or the results can be fused with angular velocity sensors to achieve better estimation. In this paper, the algorithm is presented and the approach is demonstrated with simulations and experiments.

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