In this paper, a new collocation method, which is based on Boubaker polynomials, is introduced for the approximate solutions of a class of two-dimensional linear Fredholm integral equationsof the second kind. The properties of two-dimensional Boubaker functions are presented. The fundamental matrices of integration with the collocation points are utilized to reduce the solution of the integral ...

Quadrotor control has been noted for its trouble as the consequence of the high maneuverability, system nonlinearity and strongly coupled multivariable. This paper deals with the simulation depend on proposed controller of a quadrotor that can overcome this trouble. The mathematical model of quadrotor is determined using a Newton-Euler formulation. Fractional Order Proportional Integral Derivat...

The authors proposes here a method for model order reduction of linear time invariant(LTI) dynamic system using two bio-inspired computational techniques, namely, Particle Swarm Optimization (PSO) and Bacterial Foraging Optimization (BFO). The numerator and denominator polynomial of the reduced order model of high order linear dynamic system are computed by minimizing the integral square error ...

Linear minimum mean square error (LMMSE) estimation is often ill-conditioned, suggesting that unconstrained minimization of the an inadequate approach to filter design. To address this, we first develop a unifying framework for studying constrained LMMSE problems. Using this framework, explore important structural property filters involving certain prefilter. Optimality invariant under invertib...

The paper belongs to the studies that deal with the effectiveness of the particular event-based sampling scheme compared to the conventional periodic sampling as a reference. In the present study, the event-based sampling according to a constant energy of sampling error is analyzed. This criterion is suitable for applications where the energy of sampling error should be bounded (i.e., in buildi...