Backstepping algorithms for a class of disturbed nonlinear nontriangular systems

This paper proposes a predefined-time convergent stabilization controller for a class of nonlinear systems. First, a controller is introduced for linear systems where the convergent time is selected in advance, independent of initial conditions, and can be assigned as a parameter of a control input. The corresponding result is then obtained for a multidimensional system consisting of [Formula: see text] nonlinear differential equations. The block control technique is employed to consequently stabilize each state component by a virtual control until the real control appears. Finally, the presented result is applied to a multivariable nonlinear system to design a predefined-time convergent robust controller. To show effectiveness of the proposed convergent controller, numerical simulations have been carried out for a Van-der-Pol system and a 2-degree-of-freedom (2-DOF) helicopter model.

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Backstepping algorithms for a class of disturbed nonlinear nontriangular systems

Cited by 2 publications

References 3 publications

Backstepping control of a permanent magnet synchronous motor

Backstepping control of a permanent magnet synchronous motor

Exponential-form predefined-time convergent controller and its applications to Van-der-Pol system and 2-DOF helicopter

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