Fuzzy Lyapunov Method Research Articles

RETRACTED: Design, modeling and stability control for an actuated dynamic walking planar bipedal robot

RETRACTED: Design, modeling and stability control for an actuated dynamic walking planar bipedal robot

RETRACTED: Path planning for autonomous robots – a comprehensive analysis by a greedy algorithm

RETRACTED: Path planning for autonomous robots – a comprehensive analysis by a greedy algorithm

RETRACTED: Delay independent criterion for multiple time-delay systems and its application in building structure control systems

RETRACTED: Delay independent criterion for multiple time-delay systems and its application in building structure control systems

RETRACTED: Nonlinear vibration of structural deterioration in reinforced concrete columns: experimental and theoretical investigation

RETRACTED: Nonlinear vibration of structural deterioration in reinforced concrete columns: experimental and theoretical investigation

A review of modeling errors and control for time-delay systems utilizing the LDI criterion

Nonlinear systems sometimes suffer from modeling errors which could potentially result in instability and reduce the control performance of the actual systems. This paper reviews some previous research studies examining the sources of these errors and how to deal with them. In this work, a fuzzy Lyapunov function is defined through fuzzy blending quadratic Lyapunov functions to avoid conservatism in the stability conditions. Therefore, the neural network (NN) model based approach is provided and the fuzzy systems can be transferred into a linear difference inclusion (LDI) formulation. Time-delay stability conditions of closed-loop controlled systems are then derived based on robustness design to deal with the modeling error problems. Key words: Fuzzy Lyapunov method, LDI, T-S fuzzy systems, artificial intelligence.

RETRACTED: Development for low-cost and cross-platform robot control environment

RETRACTED: Development for low-cost and cross-platform robot control environment

Delay Independent Criterion for Multiple Time-delay Systems

Abstract Based on the fuzzy Lyapunov method, this work addresses the stability conditions for nonlinear systems with multiple time delays to ensure the stability of building structure control systems. The delay independent conditions are derived via the traditional Lyapunov and fuzzy Lyapunov methods for multiple time-delay systems as approximated by the Tagagi-Sugeno (T-S) fuzzy model. The fuzzy Lyapunov function is defined as a fuzzy blending of quadratic Lyapunov functions. A parallel distributed compensation (PDC) scheme is utilized to construct a global fuzzy logic control (FLC) by blending all linear local state feedback controllers in the controller design procedure. Furthermore, the H infinity performance and robustness of the design for modeling errors also need to be considered in the stability conditions.

A Fuzzy Lyapunov LMI Criterion to a Chaotic System

Abstract In terms of the Fuzzy Lyapunov method, this work proposes stability conditions for fuzzy logic control (FLC). Their application for chaotic systems can be approximated by the Tagagi-Sugeno (T-S) fuzzy model. The fuzzy Lyapunov function is defined as a fuzzy blending of quadratic Lyapunov functions. External forces or disturbances are not considered in the controlled systems. In the design controller procedure, a parallel distributed compensation (PDC) scheme is utilized to construct a global FLC by blending all linear local state feedback controllers. The stability criteria are found not only for fuzzy modeling but also for a real chaotic system. Furthermore, this controller design problem can be reduced to a linear matrix inequality (LMI) problem by use of the Schur Complements. Efficient interior-point algorithms are now available in Matlab toolbox to solve this type of problem.

RETRACTED: Applications of linear differential inclusion-based criterion to a nonlinear chaotic system: a critical review

RETRACTED: Applications of linear differential inclusion-based criterion to a nonlinear chaotic system: a critical review

RETRACTED: Structural system identification for vibration bridges using the Hilbert–Huang transform

RETRACTED: Structural system identification for vibration bridges using the Hilbert–Huang transform

RETRACTED: Applications of the fuzzy Lyapunov linear matrix inequality criterion to a chaotic structural system

RETRACTED: Applications of the fuzzy Lyapunov linear matrix inequality criterion to a chaotic structural system

RETRACTED: An enhanced obstacle avoidance and path correction mechanism for an autonomous intelligent robot with multiple sensors

RETRACTED: An enhanced obstacle avoidance and path correction mechanism for an autonomous intelligent robot with multiple sensors

A critical review of nonlinear fuzzy multiple time-delay interconnected systems using the Lyapunov criterion

This paper reviews the development of fuzzy systems and the problem of time delay control in nonlinear systems. Based on this review, a fuzzy Lyapunov method defined in fuzzy blending quadratic Lyapunov functions is proposed from which to derive stability conditions. In the controller procedure, a parallel distributed compensation (PDC) scheme is utilized to construct a global fuzzy logic controller (FLC) by blending all linear local state feedback controllers. Furthermore, the multiple time-delay interconnected systems are considered in the nonlinear fuzzy systems. Key words: Interconnected systems, fuzzy Lyapunov method, linear matrix inequality.

RETRACTED: Applications of fuzzy control to nonlinear time-delay systems using the linear matrix inequality fuzzy Lyapunov method

RETRACTED: Applications of fuzzy control to nonlinear time-delay systems using the linear matrix inequality fuzzy Lyapunov method

RETRACTED: Review of an autonomous humanoid robot and its mechanical control

RETRACTED: Review of an autonomous humanoid robot and its mechanical control

RETRACTED: A critical review of internal wave dynamics. Part 2 – Laboratory experiments and theoretical physics

RETRACTED: A critical review of internal wave dynamics. Part 2 – Laboratory experiments and theoretical physics

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. Key words: Lyapunov, critical review, multiple time-delay system, PDC.

RETRACTED: Dynamics and control for robotic manipulators using a greedy algorithm approach

RETRACTED: Dynamics and control for robotic manipulators using a greedy algorithm approach

RETRACTED: Neural-network fuzzy control for chaotic tuned mass damper systems with time delays

RETRACTED: Neural-network fuzzy control for chaotic tuned mass damper systems with time delays

RETRACTED: Risk control allocation model for pressure vessels and piping project

RETRACTED: Risk control allocation model for pressure vessels and piping project