The paper presents a method to assure stability of the fuzzy control systems of the second order processes, based on a compensation of the input-output characteristic of the fuzzy blocks used in the PI fuzzy controllers. For this purpose is acting at the correction of the fuzzy control law by the action in parallel of a crisp block. Stability analysis of the control systems of the second order ...

In this paper, a new algorithm based on model following technique has been presented for a Fuzzy sliding mode control. The proposed technique enables designing of fuzzy controller based on time domain specifications and the response of the fuzzy control law can be properly shaped on a sound mathematical footing. The new fuzzy control law leads to appreciable reduction of number of fuzzy rules a...

The paper presents necessary and sufficient conditions for the order reduction of optimal control systems. Exploring the corresponding Hamiltonian system allows to solve the order reduction problem in terms of dynamical systems, observability and invariant differential forms. The approach is applicable to non-degenerate optimal control systems with smooth integral cost function. The cost functi...

most of authors (1-7) have used discontinious methods based on trial and error procedures for determination of optimum distribution of kh and ?h. optimal control theory has not been used for gas reservoirs. hence, in this paper optimal control theory is utilized for mathematical simulation of gas reservoir and optimum distributions of kh and ?h are presented. one of themain advantages of this n...

In this paper, an optimal control for Hamiltonian control systems with external variables will be formulated and analysed. Necessary and sufficient conditions which lead to Pantryagin’s principle are stated and elaborated. Finally it is shown how the Pontryagin’s principle fits very well to the theory of Hamiltonian systems. The case of Potryagin’s maximum principle will be considered in detail...

The paper is devoted to solution of some problems in nuclear power station generating unit intellectual control systems using genetic algorithms on the basis of control system model development, optimizations methods of their direct quality indices and improved integral quadratic estimates. Some mathematical vector models were obtained for control system multicriterion quality indices with due ...