In this paper, vibrations and bifurcation of a damped system consists of a mass grounded by linear and nonlinear springs and a nonlinear damper is studied. Nonlinear equation of motion is derived using Newton’s equations. Approximate analytical solutions are obtained using multiple time scales (MTS) method. For free vibration, the approximate analytical results are compared with the numerical i...

this paper concerns a study on the optimal control for nonlinear systems. an appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. in this fashion, the nonlinear system has been linearized using input-output feedback linearization (iofl). then, by utilizing the well developed optimal control theory of linear systems, the compensated nonl...

in this paper, a nonlinear model of the underactuated six degrees of freedom (6 dof) quadrotor helicopter was derived based on the newton-euler formalism. a new nonlinear robust control strategy was proposed to solve the stabilizing and path following problems in presence of external disturbances and parametric uncertainties. the proposed control structure consist of a sliding mode control base...

An important consideration in control issues is control of nonlinear systems. Sliding control is among those nonlinear controllers that can control the system desirably in the presence of unstructured uncertainties of carelessness in specifying parameters of the system. In sliding control, also called Variable Structure Control, the main objectives of the controller &#10are achieved by introduc...

An important consideration in control issues is control of nonlinear systems. Sliding control is among those nonlinear controllers that can control the system desirably in the presence of unstructured uncertainties of carelessness in specifying parameters of the system. In sliding control, also called Variable Structure Control, the main objectives of the controller are achieved by introducin...

In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations to the nonlinear algebraic equations. Then, the Newton-Raphson method is used for solving these sets of algebraic equations. To present ability ...

This paper concerns a study on the optimal control for nonlinear systems. An appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. In this fashion, the nonlinear system has been linearized using input-output feedback linearization (IOFL). Then, by utilizing the well developed optimal control theory of linear systems, the compensated ...

In this paper, a complete model of an electro hydraulic driven dry clutch along with its performance evaluation has elucidated. Through precision modeling, a complete nonlinear physical and full order sketch of clutch has drawn. Ultimate nonlinearities existent in the system prohibits it from being controlled by conventional linear control algorithms and to compensate the behavior of the sy...

The Chua’s chaotic system is modeled as a nonlinear feedback cascade system and a nonlinear controller is proposed with the nonlinear recursive algorithm. The design process for the proposed controller is given in detail and the system stability is proved with the Lyapunov stability theory. Simulation results show that the Chua’s chaotic system in any state can be asymptotically stabilized to t...