Abstract: A formulation and solution of the discrete-time fractional optimal control problem in terms of the Caputo fractional derivative is presented in this paper. The performance index (PI) is considered in a quadratic form. The necessary and transversality conditions are obtained using a Hamiltonian approach. Both the free and fixed final state cases have been considered. Numerical examples...

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 ...

We provide a fast and simple method to solve fractional variational problems with dependence on Hadamard fractional derivatives. Using a relation between the Hadamard fractional operator and a sum involving integer-order derivatives, we rewrite the fractional problem into a classical optimal control problem. The latter problem is then solved by application of standard numerical techniques. We i...

PID controller is the most widely used controller in industry for control applications due to its simple structure and easy parameter adjusting.But increase in complexity of control systems has introduced many modified PID controllers.The recent advancement in fractional order calculus has introduced fractional order PID controller and it has recieved a great attention for researchers.Fractiona...

African swine fever is a highly contagious virus that causes pig disease. Its onset process short, but the mortality rate as high 100%. There are still no effective drugs have been developed to treat fever, and prevention control measures currently best means avoid infection in herds. In this paper, two fractional order mathematical models with media coverage constructed describe transmission o...