Exact feedback linearization converts any system into appropriate form such that the controller design becomes convenient for the system. In this technique, control algorithm is developed based on exact feedback linearization through energy control. This approach is applicable to under actuated in which single control input, acceleration of cart, controlled the angle and position of cart. This ...

linear state bisection is introduced as a new method to find time-invariant state feedback control laws for a special form of underactuated nonlinear systems. the specialty of the systems considered is that every unactuated state should be coupled with at least two directly actuated states. the basic idea is based on bisecting actuated states and using linear combinations with adjustable parame...

Based on the mathematical model of the permanent magnet synchronous motor (PMSM), a novel sliding mode variable structure input-output feedback linearization controller is proposed. A precision linearization method is employed to achieve input-output linearization and decoupling control of the motor, which is decoupled into a second-order linear speed subsystem and a first-order linear d-axis c...

This article is devoted to the synthesis of composite control for nonlinear singularly perturbed system using feedback linearization (FL). The idea of this method consists in converting the original nonlinear system into a linear one by means of state feedback and coordinate transformation. Then, methods of control theory for linear systems are used for system design. If the original nonlinear ...

In this paper, the input-output linearization problem for a class of single-input single-output nonlinear systems with multiple delays in the input and the state is studied. The problem is solved by means of various static or dynamic compensators, including state and output feedback. The mathematical setting is based on so-called Roesser models for this class of systems and on some noncommutati...

In this paper, we study the problem of feedback complete linearization for a given single input single output stochastic nonlinear system. Using the invariance under transformation rule [1], the coordinate free necessary and su± cient conditions for the solvability of the problem is derived, which is exactly the same as the necessary and su± cient conditions for the solvability of the feedback ...

In this paper a combination of the feedback linearizing control technique and GloverMcFarlane control method is applied for the control of a synchronous motor. The use of feedback linearization requires the complete knowledge of the nonlinear system. In practice, there are many processes whose dynamics is very complex, highly nonlinear and usually incompletely known. To improve robustness, it m...