A new algorithm is proposed for computing locally the linearizing output of single-input and multi-input nonlinear affine system. The algorithm modifies the extended Goursat normal form to iteratively obtain the successive integrations of one dimensional distributions of control system. The algorithm takes ideas from both vector field approach of feedback linearization and exterior differential...

In this paper, a reaction system consisting of two parallel, non-isothermal autocatalytic reactions in a Continuous Stirred Tank Reactor (CSTR) has been considered. Reactor chaotic behavior is possible for certain values of system parameters. Two types of controllers are designed and compared in order to control both the reactor temperature and the product concentration. T...

This paper leads to present the modified approach of speed control for permanent magnet synchronous motors applied electric vehicles using a nonlinear control. The motor's dynamics are transformed into linearized system model input-output feedback linearization technique. There two (PMSM) in propulsion model. In order improve output torque, direct component current is adjusted zero. electronic ...

A review of the experimental evidence shows that passivitybased control of saturated induction motors does not provide superior performance over input–ouput linearization. Higher tracking errors can be observed and traced to the open-loop nature of the flux controller. In contrast, input–output linearization controllers achieve close tracking of flux, speed, and position references for the most...

The NARMA model is an exact representation of the input-output behavior of finitedimensional nonlinear discrete-time dynamical systems in the neighborhood of the equilibrium state. However, it is inconvenient for purposes of adaptive control due to its nonlinear dependence on the control input, even by using the neural network method. In this paper, we introduce a so called model-free adaptive ...

Nonminimum phase difficulties prevent the use of input-output feedback linearization. To avoid this problem, earlier work proposed the use of synthetic outputs with the view of placing zeros in prescribed locations under a condition of static equivalence. The objective here is also to introduce a synthetic output. However this is defined through the use of dynamic perturbations aimed at yieldin...

The two control design methods for stabilizing discrete time systems are based on the notion of exact linearization with diffemorphism and feedback. On the one hand, the first method consists in developing a polynomial control law based on the exact linearization approach. This approach was developed by considering the concept of relative degree. On the other hand, the second method is based on...

This paper proposes a servo control system based on a minimal-order state observer for nonlinear systems approximated by piecewise bilinear (PB) models. The design method is capable of designing the state observer and the servo controller of nonlinear systems separately. The approximated system is found to be fully parametric. The input-output (I/O) feedback linearization is applied to stabiliz...

Nonlinear control design techniques for a class of continuous biological processes with growth and production decoupling are investigated. We establish, under realistic assumptions on the kinetics, that though neither the inlet substrate concentration nor the dilution rate can achieve linearization of the global dynamics, we can maximize the dimension of the linear system obtained after feedbac...