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In this paper finite-time stabilization of nonlinear affine systems, is considered. First we provide a formula for a finite-time stabilizing state feedback control law, for the last class of system. Then we extend the result to the case of a norm-bounded uncertain system and a polytopic uncertain system stabilization are given. Some numerical examples are given to illustrate the main result.
This paper presents a new scheme for induction motor control. First the feedback sliding mode linearization control is applied to induction motor in order to separate the control of the rotor speed and flux square. Once the two physical outputs reach their reference, the machine control is performed by an H∞ controller. We detail, in this paper, how to design the H∞ controller to guarantee the robust...
In this paper, stability and stabilization issues of positive and periodic discrete systems with bounds on the control and on the state variable is addressed and a solution is provided. The proposed conditions are formulated as equality and inequality constraints enabling all the considered problems to be expressed, with the addition of appropriate cost function, in a linear programming framework...
This paper introduces new dilated sufficient LMI conditions for the single channeled multiobjective static state feedback controller synthesis in linear continuous-time systems for which, optimality is defined in terms of H2 and H∞ performance criteria jointly applied to a single channel. These conditions provide sub-optimal synthesis procedures that have the advantage of keeping the controller parameters...
Considering the superiority of Divided Difference Filters (DDF) in state estimation of nonlinear systems versus conventional Extended Kalman Filter (EKF), DDF which are derivate-free Kalman filtering approach are exploited in state feedback control based on proportional integral (PI) controller. The proposed combination is applied to a Multi-Input Multi-Output three-tank system. The efficiency of...
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