The paper concerns optimal control problems for dynamic systems governed by a parametric family of discrete approximations of control systems with continuous time. Discrete approximations play an important role in both qualitative and numerical aspects of optimal control and occupy an intermediate position between discrete-time and continuous-time control systems. The central result in optimal ...

For LTI plant, SPR(Strictly Positive Real)/ASPR(Almost Strictly Positive Real) property was recently used to design a continuous-time (adaptive) multi-periodic repetitive control system that guarantees the Lyapunov stability of the whole system. However in discrete time, SPR/ASPR property requires the controlled plant to be proper and unfortunately in practice it is very rare to find a plant wh...

in this paper, we investigated the necessity and effects of optimal control methods in the stability and performance of a micro-grid that operates in islanded mode. the micro-gird is consisted of a combine heat and power (chp), a capacitor bank (cb), photovoltaic panel (pv) as power generation sources. in addition, battery and the building electricity and thermal load are placed on the load sid...

the aim of this paper is to introduce a new approach for obtaining the numerical solution of singulary perturbed boundary value problems based on an optimal control technique. in the proposed method, first the mentioned equations are converted to an optimal control problem. then, control and state variables are approximated by chebychev series. therefore, the optimal control problem is reduced ...