A critical review of parallel distributed computing and the Lyapunov criterion for multiple time-delay fuzzy systems

This work reviews some important Lyapunov criterion results based on which we address the stability problems of multiple time-delay Takagi-Sugeno (T-S) fuzzy systems. A delay-dependent stability criterion is derived using the fuzzy Lyapunov method that will ensure the asymptotic stability of the multiple time-delay T-S fuzzy systems. Furthermore, the parallel distributed compensation (PDC) scheme is used to achieve a controller design for fuzzy systems.

[1]  J. Gerring A case study , 2011, Technology and Society.

[2]  P. E. Crouch Attitude control of spacecraft , 1985 .

[3]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[4]  C. Teng,et al.  Global exponential stabilization for a class of nonlinear singularly perturbed systems , 1996 .

[5]  George Leitmann,et al.  Dynamics and Control , 2020, Fundamentals of Robotics.

[6]  Meng Hua Neural Network Fuzzy Control of Citric Acid Frementation Process , 1999 .

[7]  A new approach to the stability theory of differential equations with delay , 2000 .

[8]  Yong-Yan Cao,et al.  Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach , 2000, IEEE Trans. Fuzzy Syst..

[9]  Tsuyoshi Hori,et al.  A dual design problem via multiple Lyapunov functions , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).

[10]  Yong-Yan Cao,et al.  Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models , 2001, Fuzzy Sets Syst..

[11]  Chung-Chun Kung,et al.  Adaptive fuzzy sliding mode controller design , 2002, 2002 IEEE World Congress on Computational Intelligence. 2002 IEEE International Conference on Fuzzy Systems. FUZZ-IEEE'02. Proceedings (Cat. No.02CH37291).

[12]  Ali H. Nayfeh,et al.  A New Approach to the Stability Analysis of Boost Power-Factor-Correction Circuits , 2003 .

[13]  Kazuo Tanaka,et al.  A multiple Lyapunov function approach to stabilization of fuzzy control systems , 2003, IEEE Trans. Fuzzy Syst..

[14]  Daniel J. Inman,et al.  Direct Adaptive Control of Underwater Vehicles using Neural Networks , 2003 .

[15]  Cheng-Wu Chen,et al.  Active control for a benchmark building under wind excitations , 2003 .

[16]  Keum-Shik Hong,et al.  Exponential Stabilization of an Axially Moving Tensioned Strip by Passive Damping and Boundary Control , 2002 .

[17]  Darren M. Dawson,et al.  Lyapunov-Based Vibration Control of Translational Euler-Bernoulli Beams Using the Stabilizing Effect of Beam Damping Mechanisms , 2004 .

[18]  Kazuo Tsuchiya,et al.  Attitude Control of a Spacecraft with Two Reaction Wheels , 2004 .

[19]  Dennis S. Bernstein,et al.  Adaptive Stabilization of Linear Second-Order Systems with Bounded Time-Varying Coefficients , 2004 .

[20]  Design and Realtime Implementation of an Adaptive Variation Absorber for Uncertain Mechanical Systems Subjected to Unknown Disturbances , 2004 .

[21]  N. C. State,et al.  Stability Analysis , 2019, Converter-Interfaced Energy Storage Systems.

[22]  Cheng-Wu Chen,et al.  Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems , 2004, Math. Comput. Simul..

[23]  Ruxandra Botez,et al.  Robust Stabilization of Uncertain Aircraft Active Systems , 2005 .

[24]  Chen-Yuan Chen,et al.  Fuzzy Logic Derivation of Neural Network Models with Time Delays in Subsystems , 2005, Int. J. Artif. Intell. Tools.

[25]  Feng-Hsiag Hsiao,et al.  Fuzzy controllers for nonlinear interconnected tmd systems with external force , 2005 .

[26]  Cheng-Wu Chen,et al.  Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control , 2005, IEEE Trans. Fuzzy Syst..

[27]  Sheng-Dong Xu,et al.  Application and Robustness Design of Fuzzy Controller for Resonant and Chaotic Systems with External Disturbance , 2005, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[28]  Sunil K. Agrawal,et al.  Longitudinal Vibration Modeling and Control of a Flexible Transporter System with Arbitrarily Varying Cable Lengths , 2005 .

[29]  W. Chiang,et al.  Fuzzy Control for Nonlinear Systems via Neural-Network-Based Approach , 2005 .

[30]  S. Choura,et al.  Active Control of Linear Time-Varying Structures by Confinement of Vibrations , 2005 .

[31]  Nabil G. Chalhoub,et al.  Fuzzy Sliding Mode Controller for a Flexible Single-Link Robotic Manipulator , 2005 .

[32]  Cheng-Wu Chen,et al.  T-S fuzzy controllers for nonlinear interconnected systems with multiple time delays , 2005, IEEE Trans. Circuits Syst. I Regul. Pap..

[33]  Nasser Sadati,et al.  Variable Structure Control with Adaptive Fuzzy Sliding Surface , 2006 .

[34]  Samuel Bowong,et al.  Adaptive Control for Linearizable Chaotic Systems , 2006 .

[35]  Chen,et al.  Profile Evolution and Energy Dissipation for Internal Soliton Transmitting over Different Submarine Ridges , 2006 .

[36]  Hsu,et al.  Numerical Model of Internal Solitary Wave Evolution on Impermeable Variable Seabed in A Stratified Two-Layer Fluid System , 2006 .

[37]  Cheng-Wu Chen,et al.  Stability conditions of fuzzy systems and its application to structural and mechanical systems , 2006, Adv. Eng. Softw..

[38]  Qin Ding,et al.  Association Rule Mining from XML Data , 2006, DMIN.

[39]  MORRIS H. L. WANG,et al.  Fuzzy Lyapunov Method for Stability Conditions of Nonlinear Systems , 2006, Int. J. Artif. Intell. Tools.

[40]  TING-YA HSIEH,et al.  A New Viewpoint of S-curve Regression Model and its Application to Construction Management , 2006, Int. J. Artif. Intell. Tools.

[41]  Chen-Yuan Chen,et al.  Modeling, H∞ Control and Stability Analysis for Structural Systems Using Takagi-Sugeno Fuzzy Model , 2007 .

[42]  Cheng-Wu Chen,et al.  A Novel Delay-Dependent Criterion for Time-Delay T-S Fuzzy Systems Using Fuzzy Lyapunov Method , 2007, Int. J. Artif. Intell. Tools.

[43]  Cheng-Wu Chen,et al.  GENERATION OF INTERNAL SOLITARY WAVE BY GRAVITY COLLAPSE , 2007 .

[44]  Cheng-Wu Chen,et al.  Localized Mixing Due to an Interfacial Solitary Wave Breaking on Seabed Topography in Different Ridge Heights , 2007 .

[45]  Cheng-Wu Chen,et al.  Analysis of experimental data on internal waves with statistical method , 2007 .

[46]  Liming Dai,et al.  Dynamic Stability Analysis of a Cracked Nonlinear Rotor System Subjected to Periodic Excitations in Machining , 2007 .

[47]  Cheng-Wu Chen,et al.  WAVE PROPAGATION AT THE INTERFACE OF A TWO-LAYER FLUID SYSTEM IN THE LABORATORY , 2007 .

[48]  Cheng-Wu Chen,et al.  Robustness design of time-delay fuzzy systems using fuzzy Lyapunov method , 2008, Appl. Math. Comput..

[49]  Jing Chen,et al.  An Experimental Study on Semi-active Seismic Response Control of a Large-span Building on Top of Ship Lift Towers , 2008 .

[50]  Cheng-Wu Chen,et al.  Diagnosing and revising logistic regression models , 2008 .

[51]  Cheng-Wu Chen,et al.  A Mathematical Tool for Inference in Logistic Regression with Small-Sized Data Sets: A Practical Application on ISW-Ridge Relationships , 2008 .

[52]  W. Chiang,et al.  Application of geographic information system to the allocation of disaster shelters via fuzzy models , 2008 .

[53]  Ipek Basdogan,et al.  Model Validation and Performance Prediction in the Design of Micro Systems , 2008 .

[54]  Cheng-Yuan Chang,et al.  Modified Fuzzy Variable Structure Control Method to the Crane System with Control Deadzone Problem , 2008 .

[55]  W. Chiang,et al.  GA-Based Fuzzy Sliding Mode Controller for Nonlinear Systems , 2008 .

[56]  Cheng-Wu Chen,et al.  Experiments on mixing and dissipation in internal solitary waves over two triangular obstacles , 2008 .

[57]  Chen,et al.  Accuracy evaluation of a diagnostic test by detecting outliers and influential observations , 2008 .

[58]  Cheng-Wu Chen,et al.  Estimation on Internal Wave Reflection in a Two-Layer Fluid System by Cumulative Logistic Regression Model , 2008 .

[59]  Jamil M. Renno,et al.  Generalized Design of an Anti-swing Fuzzy Logic Controller for an Overhead Crane with Hoist , 2008 .

[60]  F. Amini,et al.  Fuzzy Optimal Control of Uncertain Dynamic Characteristics in Tall Buildings Subjected to Seismic Excitation , 2008 .

[61]  Chen,et al.  Evaluation of Inference Adequacy in Cumulative Logistic Regression Models: An Empirical Validation of ISW-Ridge Relationships , 2008 .

[62]  Claude Kaddissi,et al.  Interlaced Backstepping and Integrator Forwarding for Nonlinear Control of an Electrohydraulic Active Suspension , 2009 .

[63]  Cheng-Wu Chen,et al.  Application to GA-Based Fuzzy Control for Nonlinear Systems with Uncertainty , 2009, 2009 First Asian Conference on Intelligent Information and Database Systems.

[64]  Cheng-Wu Chen,et al.  Improving the generalization performance of RBF neural networks using a linear regression technique , 2009, Expert Syst. Appl..

[65]  Cheng-Wu Chen,et al.  Adaptive Fuzzy Sliding Mode Control for Seismically excited Bridges with lead Rubber Bearing Isolation , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[66]  H. Lam Stability analysis of T-S fuzzy control systems using parameter-dependent Lyapunov function , 2009 .

[67]  S. Erkaya,et al.  Noise and Vibration Analysis of Car Engines using Proposed Neural Network , 2009 .

[68]  Ching-Chang Wong,et al.  Obstacle Avoidance Design for Humanoid Robot Based on Four Infrared Sensors , 2009 .

[69]  Chen-Yuan Chen,et al.  Nonlinear Internal Wave Run-Up on Impermeable Steep Slopes , 2009 .

[70]  Jin Chen,et al.  Neuro-fuzzy Based Condition Prediction of Bearing Health: , 2009 .

[71]  Cheng-Wu Chen,et al.  A Stability Criterion for Time-Delay Tension Leg Platform Systems Subjected to External Force , 2009 .

[72]  Chengdong Chen Amplitude decay and energy dissipation due to the interaction of internal solitary waves with a triangular obstacle in a two-layer fluid system: the blockage parameter , 2009 .

[73]  Cheng-Wu Chen,et al.  Modeling and control for nonlinear structural systems via a NN-based approach , 2009, Expert Syst. Appl..

[74]  Yonghui Feng,et al.  Modeling and Robust Control of Horizontal Vibrations for High-speed Elevator , 2009 .

[75]  Jeng-Wen Lin,et al.  Managing Target the Cash Balance in Construction Firms Using a Fuzzy Regression Approach , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[76]  S.F. Asokanthan,et al.  Instabilities in a MEMS Gyroscope Subjected to Angular Rate Fluctuations , 2009 .

[77]  Nejat Olgac,et al.  A Lyapunov Treatment of Swarm Coordination Under Conflict , 2009 .

[78]  Cheng-Wu Chen,et al.  The stability of an oceanic structure with T-S fuzzy models , 2009, Math. Comput. Simul..

[79]  Yu Cao,et al.  Fuzzy model‐based assessment and monitoring of desertification using MODIS satellite imagery , 2009 .

[80]  Linshan Wang,et al.  LMI-based Approach of Global Exponential Robust Stability for a Class of Uncertain Distributed Parameter Control Systems with Time-varying Delays: , 2009 .

[81]  Cheng‐Wu Chen,et al.  APPLICATION OF QUALITY FUNCTION DEPLOYMENT TO IMPROVE THE QUALITY OF INTERNET SHOPPING WEBSITE INTERFACE DESIGN , 2010 .

[82]  Wan-I Lee,et al.  Relationship between quality of medical treatment and customer satisfaction - a case study in dental clinic association , 2010 .

[83]  Cheng-Wu Chen,et al.  Modeling and Fuzzy PDC Control and Its Application to an Oscillatory TLP Structure , 2010 .

[84]  Chen-Yuan Chen,et al.  Analysis of Control Structure for Turning Maneuvers , 2010 .

[85]  Chung-Hung Tsai,et al.  An earthquake disaster management mechanism based on risk assessment information for the tourism industry-a case study from the island of Taiwan , 2010 .

[86]  Ju H. Park,et al.  A novel delay-dependent criterion for delayed neural networks of neutral type , 2010 .

[87]  Chen-Yuan Chen,et al.  RETRACTED: The Development of Half-circle Fuzzy Numbers and Application in Fuzzy Control , 2010 .

[88]  G. Stépán,et al.  Period Doubling Bifurcation and Center Manifold Reduction in a Time-periodic and Time-delayed Model of Machining , 2010 .

[89]  Cheng-Wu Chen,et al.  Are educational background and gender moderator variables for leadership, satisfaction and organizational commitment? , 2010 .

[90]  陳震遠,et al.  Enhanced MAC Channel Selection to Improve Performance of IEEE 802.15.4 , 2010 .

[91]  Toshio Yoshimura Adaptive Discrete Sliding Mode Control for Mechanical Systems with Mismatched Uncertainties , 2010 .

[92]  Cheng-Wu Chen,et al.  Stability Analysis of Interconnected Fuzzy Systems Using the Fuzzy Lyapunov Method , 2010 .

[93]  Cheng-Wu Chen,et al.  Application of Project Cash Management and Control for Infrastructure , 2010 .

[94]  Cheng-Wu Chen,et al.  Fuzzy Control for an Oceanic Structure: A Case Study in Time-delay TLP System , 2010 .

[95]  Cheng-Wu Chen,et al.  Application of Fuzzy-model-based Control to Nonlinear Structural Systems with Time Delay: an LMI Method , 2010 .

[96]  Meng-Lung Lin,et al.  Application of fuzzy models for the monitoring of ecologically sensitive ecosystems in a dynamic semi‐arid landscape from satellite imagery , 2010 .

[97]  Cheng-Wu Chen,et al.  Linking the balanced scorecard (BSC) to business management performance: A preliminary concept of fit theory for navigation science and management , 2010 .

[98]  Gangbing Song,et al.  Nonlinear Structural Vibration Suppression Using Dynamic Neural Network Observer and Adaptive Fuzzy Sliding Mode Control , 2010 .

[99]  Cheng-Wu Chen,et al.  Stability analysis of an oceanic structure using the Lyapunov method , 2010 .

[100]  Ö. Morgül,et al.  On the Control of Two-link Flexible Robot Arm with Nonuniform Cross Section , 2010 .

[101]  M. Pai Sliding Mode Control of Vibration in Uncertain Time-delay Systems , 2010 .

[102]  Cheng-Wu Chen,et al.  Application of data mining to the spatial heterogeneity of foreclosed mortgages , 2010, Expert Syst. Appl..

[103]  W. Chiang,et al.  Detecting the sensitivity of structural damage based on the Hilbert‐Huang transform approach , 2010 .

[104]  Chen-Yuan Chen,et al.  A case study of reinforced concrete short column under earthquake using experimental and theoretical investigations , 2010 .

[105]  Cheng-Wu Chen,et al.  The study of a forecasting sales model for fresh food , 2010, Expert Syst. Appl..

[106]  Chen-Yuan Chen Using discriminant analysis to determine the breaking criterion for an ISW propagating over a ridge , 2010 .

[107]  Tsung-Hao Chen,et al.  The relationship between consumer orientation, service value, medical care service quality and patient satisfaction: The case of a medical center in Southern Taiwan , 2010 .

[108]  陳慶文,et al.  A BEHAVIORAL MODEL OF THE ELDERLY INTERNET CONSUMER: A CASE STUDY , 2010 .

[109]  Chen-Yuan Chen,et al.  RETRACTED: A case study of damage detection in benchmark buildings using a Hilbert-Huang Transform-based method , 2011 .

[110]  Wan-I Lee,et al.  Assessing the effects of consumer involvement and service quality in a self‐service setting , 2011 .

[111]  Cheng‐Wu Chen,et al.  A STUDY OF MERCHANDISE INFORMATION AND INTERFACE DESIGN ON B2C WEBSITES , 2011 .

[112]  A. Gabale,et al.  Construction of reduced order controllers for nonlinear systems with periodic coefficients , 2011 .

[113]  Cheng-Wu Chen,et al.  RETRACTED: Stability analysis of community and ecosystem hierarchies using the Lyapunov method , 2011 .

[114]  Linshan Wang,et al.  Global exponential stabilization for a class of distributed parameter control systems with Markovian jumping parameters and time-varying delay , 2011 .

[115]  Cheng-Wu Chen,et al.  RETRACTED: Identification and monitoring of bridge health from ambient vibration data , 2011 .

[116]  Cheng-Wu Chen,et al.  Stability analysis and robustness design of nonlinear systems: An NN-based approach , 2011, Appl. Soft Comput..

[117]  Cheng-Wu Chen,et al.  Modeling, control, and stability analysis for time-delay TLP systems using the fuzzy Lyapunov method , 2011, Neural Computing and Applications.

[118]  Cheng-Wu Chen,et al.  RETRACTED: Fuzzy control of interconnected structural systems using the fuzzy Lyapunov method , 2011 .

[119]  Chen-Yuan Chen,et al.  RETRACTED: Dynamics and control for robotic manipulators using a greedy algorithm approach , 2011 .

[120]  Chun-Pin Tseng,et al.  A new viewpoint on risk control decision models for natural disasters , 2011 .

[121]  A. N. Njah,et al.  Synchronization via active control of parametrically and externally excited Φ6 Van der Pol and Duffing oscillators and application to secure communications , 2011 .

[122]  C. Chen,et al.  Stabilization of adaptive neural network controllers for nonlinear structural systems using a singular perturbation approach , 2011 .

[123]  W. Chiang,et al.  An integrated flood risk assessment model for property insurance industry in Taiwan , 2011 .

[124]  Chen-Yuan Chen,et al.  RETRACTED: Fuzzy Lyapunov Stability Analysis and NN Modeling for Tension Leg Platform Systems , 2011 .

[125]  Chung-Hung Tsai,et al.  The establishment of a rapid natural disaster risk assessment model for the tourism industry , 2011 .

[126]  Cheng-Wu Chen,et al.  GA-based decoupled adaptive FSMC for nonlinear systems by a singular perturbation scheme , 2011, Neural Computing and Applications.

[127]  W. Chiang,et al.  Applications of Hilbert-Huang transform to structural damage detection , 2011 .

[128]  Yi-Hsuan Chen,et al.  RETRACTED: Obstacle avoidance design for a humanoid intelligent robot with ultrasonic sensors , 2011 .

[129]  Chen-Yuan Chen Statistical and dynamical analyses of propagation mechanisms of solitary internal waves in a two-layer stratification , 2011 .

[130]  Saburo Yamamura,et al.  A context model with a time-dependent multi-layer exception handlinge policy , 2011 .

[131]  Vladimir Stojanović,et al.  Moment Lyapunov exponents and stochastic stability of moving narrow bands , 2011 .

[132]  Cw Shen,et al.  A FUZZY AHP-BASED FAULT DIAGNOSIS FOR SEMICONDUCTOR LITHOGRAPHY PROCESS , 2011 .

[133]  W. Chiang,et al.  Linear Matrix Inequality Conditions of Nonlinear Systems by Genetic Algorithm-based H ∞ Adaptive Fuzzy Sliding Mode Controller , 2011 .

[134]  Chen-Yuan Chen,et al.  RETRACTED: Obstacle avoidance using a path correction method for autonomous control of a biped intelligent robot , 2011 .

[135]  Luis E. Zárate,et al.  Fuzzy Sliding Mode Controller for a PH Process in Stirred Tanks , 2012, Intell. Autom. Soft Comput..

[136]  Cheng-Wu Chen,et al.  RETRACTED: Risk control allocation model for pressure vessels and piping project , 2012 .

[137]  Chen-Yuan Chen,et al.  RETRACTED: The development of autonomous low-cost biped mobile surveillance robot by intelligent bricks , 2012 .

[138]  Chen-Yuan Chen,et al.  RETRACTED: Review of an autonomous humanoid robot and its mechanical control , 2012 .

[139]  Cheng-Wu Chen,et al.  RETRACTED: Neural-network fuzzy control for chaotic tuned mass damper systems with time delays , 2012 .

[140]  Chen-Yuan Chen,et al.  Retracted: A hybrid artificial intelligence sales‐forecasting system in the convenience store industry , 2012 .

[141]  Chen-Yuan Chen,et al.  RETRACTED: A critical review of internal wave dynamics. Part 1 – Remote sensing and in-situ observations , 2012 .

[142]  Hui-Ming Kuo,et al.  Retracted: A novel viewpoint on information and interface design for auction web sites , 2012 .

[143]  Chen-Yuan Chen,et al.  RETRACTED: A critical review of internal wave dynamics. Part 2 – Laboratory experiments and theoretical physics , 2012 .

[144]  Chen-Yuan Chen,et al.  The exploration of the mobile Mandarin learning system by the application of TRIZ theory , 2013, Comput. Appl. Eng. Educ..

[145]  F. Schamann Noise and Vibration as , .