Fuzzy coordination through measure information sharing of multi-robot system: A case study

Multi-robot systems have many potential applications; however, the available results for coordination were based on qualitative information. Fuzzy logic reasoning has a feature of human being thinking, so a novel coordinated algorithm is proposed. The algorithm utilizes sharing sensing information of rooms and semantic robots to coordinating robots in a structured environment exploration. The approach divides all teammate robots into two classes according to robot exploration performance, and divides rooms into large, medium and small ones according to estimations of the individual areas. On the purpose of minimizing exploration time of the system, the reasoning coordination assigns large room to good performance robot, and vice versa. A parameter update law is introduced for fuzzy membership functions. Finally, the results are validated by computer simulations for a structured environment.

Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control

This paper investigates hybrid synchronization of the uncertain generalized Lorenz system. Several useful criteria are given for synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are used. In comparison with those of existing synchronization methods, hybrid synchronization includes full-order synchronization, reduced-order synchronization, and modified projective synchronization. What is more, control of the stability point, complete synchronization, and antisynchronization can coexist in the same system. Numerical simulations show the effectiveness of this method in a class of chaotic systems.

A Special Hybrid Projective Synchronization in Symmetric Chaotic System With Unknown Parameter

A novel synchronization scheme called special hybrid projective synchronization (SHPS), in which different state variables can synchronize up to same positive or negative scaling factors, is proposed in this paper. For all the symmetric chaotic systems, research results demonstrate that the SHPS can be realized with a single-term linear controller. Taking unified chaotic system with unknown parameter as an example, based on Lyapunov stability theory, some sufficient conditions and a parameter update law are derived for the implementation of SPHS, which are verified by some corresponding numerical simulations.

Function Projective Synchronization between Three-Cell Quantum-CNN Hyperchaotic System and 6th-Order Cellular Neural Network System with Uncertain Parameters

This paper addresses the function projective synchronization problem between 3-cell Quantum cellular neural network hyperchaotic system and 6th-order cellular neural network system in the presence of unknown system parameters. Quantum-CNN systems produce nanoscale chaotic controllers under certain conditions. Based on Lyapunov stability theory the adaptive control law and the parameter update law are proposed to make the states of the 3-cell Quantum-CNN hyperchaotic system and 6th-order cellular neural network system asymptotically synchronized. Numerical simulations are presented to demonstrate the effectiveness of the proposed synchronization schemes.

Complete Switched Generalized Function Projective Synchronization of a Class of Hyperchaotic Systems With Unknown Parameters and Disturbance Inputs

The concept of complete switched generalized function projective synchronization (CSGFPS) in practical type is introduced and the CSGFPS of a class of hyperchaotic systems with unknown parameters and disturbance inputs are investigated. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the states of a class of hyperchaotic systems asymptotically synchronized up to a desired scaling function and the unknown parameters are also estimated. In numerical simulations, the scaling function factors discussed in this paper are more complicated. Finally, the hyperchaotic Lorenz and hyperchaotic Lü systems are taken, for example, and the numerical simulations are presented to verify the effectiveness and robustness of the proposed control scheme.

FUNCTION PROJECTIVE SYNCHRONIZATION OF THE CHAOTIC SYSTEMS WITH PARAMETERS UNKNOWN

This work is concerned with the general methods for the function projective synchronization (FPS) of chaotic (or hyperchaotic) systems. The aim is to investigate the FPS of different chaotic (hyper-chaotic) systems with unknown parameters. The adaptive control law and the parameter update law are derived to make the states of two different chaotic systems asymptotically synchronized up to a desired scaling function by Lyapunov stability theory. The general approach for FPS of Chen hyperchaotic system and Lü system is provided. Numerical simulations are also presented to verify the effectiveness of the proposed scheme.

Function projective synchronization of two four-scroll hyperchaotic systems with unknown parameters

Function projective synchronization (FPS) of two novel hyperchaotic systems with four-scroll attractors which have been found up to the present is investigated. Adaptive control is employed in the situation that system parameters are unknown. Based on Lyapunov stability theory, an adaptive controller and a parameter update law are designed so that the two systems can be synchronized asymptotically by FPS. Numerical simulation is provided to show the effectiveness of the proposed adaptive controller and the parameter update law.

Finite-Time Chaos Control and Synchronization of the New Chaotic System with Unknown Parameters

In this paper, a new chaotic system is discussed. Some basic dynamical properties are studied , and we also deal with the finite-time chaos control and synchronization of the new chaotic system. Based on the finite-time stability theory, the control law are proposed to drive chaos to equilibria within finite time, and the control law and the parameter update law are proposed to realize finite-time synchronization of the new chaotic system under unknown parameters. The controller is simple and robust to noise. Numerical simulations are given to show the effectiveness of the proposed controllers.