It is shown that the model of the boost DC-DC converter is minimum phase for operation on the left-hand side of the extremum of the steady state characteristic and nonminimum phase - on the right-hand side. For operation on the left-hand side a simple proportional controller is proposed which gives significantly better quality of control than many other controllers appearing in literature. However, it is noted that efficiency of the converter during operation on the left-hand side is smaller, therefore another original proposal of the controller based on nonlinear transformation and state feedback, designed for operation on the right-hand side, is proposed.

In this paper, the theory of discrete sliding-mode control is used to design new supply strategies for periodic-review inventory systems. The proposed strategies guarantee that demand is always entirely satisfied from the on-hand stock (yielding the maximum service level), and the warehouse capacity is not exceeded (what eliminates the cost associated with emergency storage). In contrast to the classical, stochastic approaches, in this paper, we focus on optimizing the inventory system dynamics. The parameters of the first control strategy are selected by minimizing a quadratic cost functional. Next, it is shown how the system dynamical performance can be improved by applying the concept of reaching law combined with dead-beat control. The stable, non-oscillatory behavior of the closed-loop system is demonstrated, and the properties of the designed controllers are discussed and strictly proved.

Optimal distributed control problems of retarded parabolic systems are presented. Necessary and sufficient conditions of optimality are derived for the Neumann problem. A simple example of application is also presented.

The pointwise completeness and pointwise degeneracy of standard and positive fractional linear discrete-time and continuous-time systems with state-feedbacks are addressed. It is shown that the pointwise completeness and pointwise degeneracy of the fractional positive continuous-time systems are invariant under the state and output feedbacks. Necessary and sufficient conditions are established for the existence of gain matrices of state-feedbacks for standard and positive linear systems such that the closed-loop systems are pointwise complete. Considerations are illustrated by numerical examples.

The work describes the use of pole placement state-space method for parametric optimization of motor torque controller. Presented method is universal for any type of mathematical model in contrast to standard optimization (optimal shape or optimal modulus criterion). The general oscillatory element is analyzed. Mathematical models of separately excited and brushless DC motors are compared. Ready to use relationship for parametric optimization of motor torque controller is presented. The results of the simulation, in the environment Matlab-Simulink, of the closed-loop control system  are shown.

This work deals with modeling and fault detection and identification for  robot manipulator. We have used for a dynamical system a hybrid approach. The model is decomposed into two parts: first, a certain part modeled using classical analytical theory and it is preferable to be linear. Second, an uncertain part representing the nonlinearities neglected in the first part, which is modeled using neuro-fuzzy modeling. Both analytical redundancy and neuro-fuzzy modeling are used to improve robustness. The analytical redundancy is used to generate residuals for the fault detection and location procedure. The neuro-fuzzy modeling is used to model modeling errors and faults, which allows performing the robustness and the sensitivity. Thanks to neuro-fuzzy modeling the errors of modeling are compensated and the faults are well identified as it is shown through the results of simulation.