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Distributed Saturated Control for a Class of Semilinear PDE Systems: An SOS Approach

Jose Luis Pitarch, Mohsen Rakhshan, Mohammad Mehdi Mardani, Mokhtar Shasadeghi
2018 IEEE transactions on fuzzy systems  
The approach extends (also improves over) the existing fuzzy Takagi-Sugeno (TS) state feedback designs for such systems by applying the concepts of the polynomial sum-of-squares (SOS) techniques.  ...  Secondly, the closed-loop exponential stability of the fuzzy-PDE system is studied through the Lyapunov theory.  ...  ACKNOWLEDGMENT The research leading to these results has received funding from the European Union and from the Spanish Government (MINECO/FEDER DPI2015-70975-P).  ... 
doi:10.1109/tfuzz.2017.2688379 fatcat:cd7vg23zkfepdnypzo3d3bxt4a

Polynomial-method-based SIMO controller design for a double inverted pendulum

Yue Qiao, Lin Zhou, Chengbin Ma
2014 IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society  
In this paper, a state feedback controller is designed via polynomial method for a double inverted pendulum. The polynomial method is first extended into state space.  ...  The two controllers share an identical state feedback control configuration, but their design procedures are different. It is found that the two different control methods have a similar performance.  ...  Highorder controllers in modern control were also proposed using H ∞ and µ-synthesis theories [6] [7] .  ... 
doi:10.1109/iecon.2014.7048911 dblp:conf/iecon/QiaoZM14 fatcat:6xhl47doejfuxdwmbumkzzy7am

Optimized state feedback regulation of 3DOF helicopter system via extremum seeking

Rini Akmeliawati, Safanah M. Raafat
2013 2013 9th Asian Control Conference (ASCC)  
Energy Trajectory Planning Method for Robot Manipulator Mounted on Flexible Base Akira Abe* Passivity-Based Observer Design and Robust Output Feedback Control for Nonlinear Uncertain Systems Wei Liu  ...  Neural Network Based Terminal Iterative Learning Control for Tracking Run-Varying Reference Point Tianqi Liu; Danwei Wang*; Ronghu Chi; QIANG SHEN 316 Input-Output Finite-Time Stability of Positive  ... 
doi:10.1109/ascc.2013.6606363 dblp:conf/ascc/AkmeliawatiR13 fatcat:l7enyvdgurhpdl6yetwsst3u7y

Bibo Stabilisation of Continuous–Time Takagi–Sugeno Systems under Persistent Perturbations and Input Saturation

José V. Salcedo, Miguél Martínez, Sergio García-Nieto, Adolfo Hilario
2018 International Journal of Applied Mathematics and Computer Science  
This paper presents a novel approach to the design of fuzzy state feedback controllers for continuous-time non-linear systems with input saturation under persistent perturbations.  ...  Consequently, the designed controllers have a large domain of validity and ensure a small value for the 1-norm of closed loop.  ...  Acknowledgment The authors wish to thank the Editor-in-Chief and the anonymous reviewers for their valuable comments and suggestions.  ... 
doi:10.2478/amcs-2018-0035 fatcat:25zaoqbsgrf5xg7glvt4xnr5i4

Robust H∞-Fuzzy Logic Control for Enhanced Tracking Performance of a Wheeled Mobile Robot in the Presence of Uncertain Nonlinear Perturbations

Nur Syazreen Ahmad
2020 Sensors  
For the system at hand, the uncertain nonlinear perturbations are greatly induced by the time-varying power supply, followed by behaviour of motion and speed.  ...  Via the proposed strategy, the H ∞ controller and the fuzzy logic (FL) compensator work in tandem to ensure the control law is robust against the model uncertainties.  ...  Fuzzy logic (FL) is one type of intelligent control method that has been widely adopted in many feedback control systems due to the nonlinear property of its control gain.  ... 
doi:10.3390/s20133673 pmid:32630046 pmcid:PMC7374517 fatcat:wziatjkimjekjmjw4gbho3vxle

Table of contents

2009 2009 17th Mediterranean Conference on Control and Automation  
The problem of state-feedback control design for discrete-time Takagi-Sugeno fuzzy systems is investigated in this paper.  ...  This paper deals with the problem of delay-dependent stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with a time-varying delay.  ...  Then we give conditions guaranteeing the existence and the synthesis of a state feedback controller and a static output feedback controller which practically stabilize the system with respect to state  ... 
doi:10.1109/med.2009.5164498 fatcat:bi37lbkbhfaihj7lbc64vvplo4

Overview of Some Intelligent Control Structures and Dedicated Algorithms [chapter]

Kuo-Chi Chang, Kai-Chun Chu, Yuh-Chung Lin, Jeng-Shyang Pan
2020 Automation and Control [Working Title]  
control and human-like intelligent control, and hierarchical intelligent control and learning control, and provide relevant and useful programming for readers to practice.  ...  Based on this, various researches continue to suggest that the main methods of intelligent control can include expert control, fuzzy control, neural network control, hierarchical intelligent control, anthropomorphic  ...  even fail to control in real time. (4) There is still room for discussion on how to ensure the stability of fuzzy control systems, that is, how to solve the problems of stability and robustness in fuzzy  ... 
doi:10.5772/intechopen.91966 fatcat:svatb7sytvb63lclgt4xcc5hd4

Output Feedback Fuzzy Controller Design With Local Nonlinear Feedback Laws for Discrete-Time Nonlinear Systems

Jiuxiang Dong, Youyi Wang, Guang-Hong Yang
2010 IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)  
This paper considers the output feedback control problem for nonlinear discrete-time systems, which are represented by a type of fuzzy systems with local nonlinear models.  ...  ., the controller and the observer can be independently designed, is proved for the class of fuzzy systems.  ...  Thus, a new DOF control scheme is proposed, and a convex control synthesis condition for designing H ∞ output feedback controllers is presented in this section, which can give less conservative results  ... 
doi:10.1109/tsmcb.2009.2039642 pmid:20172831 fatcat:uwmx77prljdlhcj6qij72ojvwm

Robust control design of an electro-hydraulic actuator

Balazs Nemeth, Balazs Varga, Peter Gaspyr
2014 2014 IEEE/ASME International Conference on Advanced Intelligent Mechatronics  
The interaction between the two control systems is guaranteed by the spool displacement, which is the control input at the high level and must be tracked at the low level.  ...  The high-level hydromotor is modeled with a linear form with parametric uncertainty, while the low-level spool valve is modeled with a polynomial system.  ...  ACKNOWLEDGEMENT The research has been conducted as part of the project TÁMOP-4.2.2.A-11/1/KONV-2012-0012: Basic research for the development of hybrid and electric vehicles.  ... 
doi:10.1109/aim.2014.6878086 dblp:conf/aimech/NemethVG14 fatcat:keb4ugsq7jhfbco7y55st4ai5u

State feedback control of switched linear systems: An LMI approach

V.F. Montagner, V.J.S. Leite, R.C.L.F. Oliveira, P.L.D. Peres
2006 Journal of Computational and Applied Mathematics  
Although the quadratic stability based on a fixed Lyapunov matrix has been widely used in robust control design, the use of this condition to provide a convex design method for switching feedback gains  ...  This paper addresses the problem of state feedback control of continuous-time switched linear systems with arbitrary switching rules.  ...  Acknowledgements The authors would like to thank the reviewers for their valuable remarks and suggestions.  ... 
doi:10.1016/j.cam.2005.07.005 fatcat:m35wfgkyrnhsvp5krit5llaiuu

Robust H∞ output feedback control of bidirectional inductive power transfer systems

Akshya Swain, Dhafer Almakhles, Michael J. Neath, Alireza Nasiri
2017 Archives of Control Sciences  
Robust stability and robust performance of the system is studied through μ-synthesis and LMI feasibility analysis.  ...  The output sensitivity to parametric uncertainty is explored and a linear fractional transformation of the nominal model and its uncertainty is discussed to generate a standard configuration for μ-synthesis  ...  It should be a stabilizing controller K, such that the system is always stable for any perturbations under the condition ∥ ∆ ∥ ∞ 1 2.  ... 
doi:10.1515/acsc-2017-0003 fatcat:6hq3xfgnvzdgdaegwkgk65gseu

Development of a Robust Scalar Control System for an Induction Squirrel-cage Motor Based on a Linearized Vector Model

N. A. Tseligorov, A. I. Ozersky, A. V. Chubukin, E. N. Tseligorova
2022 WSEAS Transactions on Computers  
The paper considers the problem of developing a digital system for an induction motor speed control which has a sensor and a speed regulator to increase accuracy of speed control.  ...  the adopted law of frequency control, to ensure robust absolute stability of the system on the basis of application of a graphical method for constructing a modified amplitude-phase characteristic.  ...  The application Lyapunov functions made it possible to implement stability of the robust nonlinear feedback control.  ... 
doi:10.37394/23205.2022.21.1 fatcat:bmxsn7wn5fa5plwdzpf3wqzese

Adaptive Nonlinear Stabilization Control for a Quadrotor UAV: Theory, Simulation and Experimentation

Mostafa Mohammadi, Alireza Mohammad Shahri
2013 Journal of Intelligent and Robotic Systems  
An accurate simulation that includes empirical dynamic model of battery, sensors, and actuators is performed to validate the stability of the closed loop system.  ...  The proposed control scheme does not need knowing the value of any physical parameter for generating appropriate control signals, and retuning the controller is not required for different payloads.  ...  Ghorbani, and Mr. Nima Salehi Ahangar for providing some software and hardware for the quadrotor.  ... 
doi:10.1007/s10846-013-9813-y fatcat:twrmgvobzbaqpgi2z37jhca37u

Experimental investigation on adaptive robust controller designs applied to a free-floating space manipulator

Tatiana F.P.A.T. Pazelli, Marco H. Terra, Adriano A.G. Siqueira
2011 Control Engineering Practice  
From a tutorial perspective, a model-based approach and adaptive procedures based on linear parametrization, neural networks and fuzzy systems are covered by this work.  ...  This paper aims to formulate and investigate the application of various nonlinear H 1 control methods to a free-floating space manipulator subject to parametric uncertainties and external disturbances.  ...  Acknowledgments The authors would like to thank the anonymous reviewers for their suggestions for improving the quality of the manuscript.  ... 
doi:10.1016/j.conengprac.2010.12.011 fatcat:sjqhertflnbq5nvbldgvxxvqda

Stable adaptive fuzzy controllers with application to inverted pendulum tracking

Li-Xin Wang
1996 IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)  
Wie prove, for both adaptive fuzzy controllers, that: 1) all signals in the closed-loop systems are uniformly bounded; and 2) the tracking errors converge to zero under mild conditions.  ...  Finally, the adaptive fuzzy controllers are used to control the inverted pendulum to track a given trajectory, and the simulation results show that: 1) the adaptive fuzzy controllers can perform successful  ...  DESIGN AND STABILITY ANALYSIS OF SECOND ADAPTIVE FUZZY CONTROLLER From Remark 4.6 we see that the adaptive fuzzy controller in Section IV may require a large number of rules for higher dimensional systems  ... 
doi:10.1109/3477.537311 pmid:18263068 fatcat:2pefsmqwuzdvzawocfiu57djsm
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