Skip to main content

Adaptive Control for the Stabilization and Synchronization of Nonlinear Gyroscopes

Adaptive Control for the Stabilization and Synchronization of Nonlinear Gyroscopes

B. A. Idowua, *RongweiGuob, U. E. Vincent c,d,* aDepartment of Physics, Lagos State University, Ojo, Nigeria.b School of Mathematics and Physics, Shandong Institute of Light Industry, Jinan250353, P.R. China. c Department of Physics, Redeemers University Nigeria, Ogun State, Nigeria. dNonlinear Biomedical Physics, Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom.

Abstract 

Recently, we introduced a simple adaptive control technique for the synchronizationand stabilization of chaotic systems based on the Lasalle invariance principle. The method is very robust to the effect of noise and can use single-variable feedback toachieve the control goals. In this paper, we extend our studies on this technique tothe nonlinear gyroscopes with multi-system parameters. We show that our proposedadaptive control can stabilize the chaotic orbit of the gyroscope to its stable equilibrium and also realized the synchronization between two identical gyros even whenthe parameters are assumed to be uncertain. The designed controller is very simple relative to the system being controlled, employs only a single-variable feedbackwhen the parameters are known; and the convergence speed is very fast in all cases.We give numerical simulation results to verify the effectiveness of the technique andits robustness in the presence of noise. 

Key words: 

chaos synchronization, adaptive control, Nonlinear gyroscopePACS: 05.45.-a, 05.45.Pq, 05.45.Ac

Comments

Post a Comment

Popular posts from this blog

2nd International Conference on Information Technology, Control and Automation (ITCAU 2024)

 Submit your Research Article!!!   2nd International Conference on Information Technology, Control and Automation (ITCAU 2024)   December 28 ~ 29, 2024, Dubai, UAE   Webpage URL: https://csitai2024.org/itcau/index   Hybrid -- Registered authors can present their work online or face to face   Authors are invited to submit papers through the conference Submission System by November 09, 2024.   Submission URL: https://csitai2024.org/submission/index.php   Contact Us Here's where you can reach us : itcau@csitai2024.org or itcau_conf@yahoo.com   #informationtechnology #control #automation #aialgorithms #artificialintelligence #artificialintelligencetoolsapplications #simulation #controltheory #adaptivecontrol #computervision #uaeconference #dubaiconference #phdresearchpapers #indexedconference #decembermonthconference #hybridconference #robotics #conferencesubmission #phdscholar #researchpapers #csitproceedings
Post a Comment
Read more

PERFORMANCE COMPARISON OF TWO CONTROLLERS ON A NONLINEAR SYSTEM

PERFORMANCE COMPARISON OF TWO CONTROLLERS ON A NONLINEAR SYSTEM Kenneth O.M. Mapoka1,Dr Tranos Zuva2,Howard Masebu3 and Keneilwe Zuva4 1,3,4 Department of Agricultural Engineering and Land Planning, Botswana College of Agriculture, Gaborone, Botswana 2Department of Computer Science, University of Tshwane, Pretoria, South Africa ABSTRACT Various systems and instrumentation use auto tuning techniques in their operations. For example, audio processors, designed to control pitch in vocal and instrumental operations. The main aim of auto tuning is to conceal off-key errors, and allowing artists to perform genuinely despite slight deviation off-key. In this paper two Auto tuning control strategies are proposed. These are Proportional, Integral and Derivative (PID) control and Model Predictive Control (MPC). The PID and MPC controller’s algorithms amalgamate the auto tuning method. These control strategies ascertains stability, effective and efficient performance on ...
Post a Comment
Read more

International Journal of Chaos, Control, Modeling and Simulation (IJCCMS)

International Journal of Chaos, Control, Modeling and Simulation (IJCCMS) ISSN:   2319 - 5398 [Online]; 2319 - 8990 [Print] http://airccse.org/journal/ijccms/index.html Aims and Scope ­­­­­­ The International Journal of Chaos, Control, Modeling and Simulation is a bi-monthly open access peer-reviewed journal that publishes        articles which contribute new results in all areas of Chaos Theory, Control Systems, Scientific Modeling and Computer Simulation. In the last few decades, chaos theory has found important applications in secure communication devices and secure data encryption. Control methods are very useful in several applied areas like Chaos, Automation, Communication, Robotics, Power Systems, and Biomedical Instrumentation. The journal focuses on all technical and practical aspects of Chaos, Control, Modeling and Simulation. The goal of this journal is to bring together researchers and practitioners from academia ...
Post a Comment
Read more