A weighted summation of Integral of Time Multiplied Absolute Error (ITAE) and Integral of Squared Controller Output (ISCO) minimization based time domain optimal tuning of fractional-order (FO) PID or PIλDμ controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique that minimizes the change in trajectories of the state variables and the control signal. A class ...

this paper concerns a study on the optimal control for nonlinear systems. an appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. in this fashion, the nonlinear system has been linearized using input-output feedback linearization (iofl). then, by utilizing the well developed optimal control theory of linear systems, the compensated nonl...

magnetorheological (mr) dampers have the advantage of being tuned by low voltages. this has attracted many researchers to develop semi-active control of structures in theory and practice. most of the control strategies first obtain the desired forces of dampers without taking their dynamics into consideration and then determine the input voltages according to those forces. as a result, these st...

Fractional repetition (FR) codes is a family of codes for distributed storage systems that allow for uncoded repair having the minimum repair bandwidth. However, in contrast to minimum bandwidth regenerating codes, where a random set of certain size of available nodes is used for a node repair, the repairs with FR codes are table based. In this work we consider bounds on the fractional repetiti...

this paper addresses the problem of the fractional sliding mode control (fsmc) for a mems optical switch. the proposed scheme utilizes a fractional sliding surface to describe dynamic behavior of the system in the sliding mode stage. after a comparison with the classical integer-order counterpart, it is seen that the control system with the proposed sliding surface displays better transient per...

a procedure is presented that synthesizes fractional crystallization separation processes to obtain pure solids from multi-component solutions. the method includes a procedure to generate a network flow model to identify alternative process designs for fractional crystallization. the main advantage of this systematic procedure with respect to other reported procedures is using non-equilibrium s...

We obtain a maximum principle for stochastic control problem of general controlled stochastic differential systems driven by fractional Brownian motions (of Hurst parameter H > 1/2). This maximum principle specifies a system of equations that the optimal control must satisfy (necessary condition for the optimal control). This system of equations consists of a backward stochastic differential eq...