Synchronization and chaos control of heavy symmetric chaotic unknown gyroscope using MQRBVSC

In this paper a new method of Variable Structure Control (VSC) using Multiquadric Radial Basis Function Neural Network (MQRBFNN) identifier is proposed to achieve chaos synchronization of underactuated gyroscope (master-slave) system with known and unknown system parameters. Gyroscopes are nonlinear underactuated systems which show chaotic motions. Chaos control is achieved by designing three control laws (constant, exponential and power rate reaching law) using Lyapunov stability criteria using VSC under known system parameters. For unknown system parameters, MQRBFNN identifiers are trained for online estimators. In this work it is shown that VSC using power rate reaching law, achieves better synchronization under known system parameters. It is also found that with MQRBFNN identifier based VSC using power rate reaching law, good synchronization is achieved under unknown system parameters.