this paper proposes a hybrid control scheme for the synchronization of two chaotic duffing oscillator system, subject to uncertainties and external disturbances. the novelty of this scheme is that the linear quadratic regulation (lqr) control, sliding mode (sm) control and gaussian radial basis function neural network (grbfnn) control are combined to chaos synchronization with respect to extern...

3 Quadratic Optimal Control 5 3.1 Linear Quadratic Optimal State Regulator Design . . . . . . . . . . . . . . . . . 6 3.2 Linear Quadratic Optimal Output Regulator Design . . . . . . . . . . . . . . . . 9 3.3 Stability of LQ controller . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.4 Linear Quadratic Gaussian (LQG) Control . . . . . . . . . . . . . . . . . . . . . 11 3.4.1 S...

We present and solve a Linear Quadratic Regulator (LQR) for the boundary control of beam equation. use simple technique completing square to get an explicit solution. By decoupling spatial frequencies we are able reduce infinite dimensional LQR family two LQRs each which can be solved explicitly.

this paper proposes a discrete-time repetitive optimal control of electrically driven robotic manipulators using an uncertainty estimator. the proposed control method can be used for performing repetitive motion, which covers many industrial applications of robotic manipulators. this kind of control law is in the class of torque-based control in which the joint torques are generated by permanen...