‎in this paper we introduce a numerical approach that solves optimal control problems (ocps)‎‎using collocation methods‎. ‎this approach is based upon b-spline functions‎.‎the derivative matrices between any two families of b-spline functions are utilized to‎‎reduce the solution of ocps to the solution of nonlinear optimization problems‎.‎numerical experiments confirm our theoretical findings‎.

A simple PS adaptive integral sliding mode controller is designed for the pitch channel linear model of supersonic missile firstly. In order to improve the performance of the proposed method, two improvements also proposed. Finally, a hybrid PISS adaptive control is formed which contains proportion control, integration control, the sign function adn soft function. Also nurmerical simulations ar...

Abstract Ship collision prevention has always been a hot topic of research for navigation safety. Recently, autonomous ships have gained much attention as means solving problems by machine control with collision-avoidance algorithm. An important question is how to determine optimal path planning ships. This paper proposes path-planning method avoidance multi-ship encounters that easy realize Th...

This study presents an innovative strategy for load frequency control (LFC) using a combination structure of tilt-derivative and tilt-integral gains to form TD-TI controller. Furthermore, new improved optimization technique, namely the quantum chaos game optimizer (QCGO) is applied tune proposed controller in two-area interconnected hybrid power systems, while effectiveness QCGO validated via c...

The fuzzy differential and integral equations are important part of the fuzzy analysis theory and they have the important value of theory and application in control theory. Seikkala in [8] has defined the fuzzy derivative which is the generalization of the Hukuhara derivative in [7], the fuzzy integral which is the same as that of Dubois and prade [1], and by means of the extension principle of...

In this paper, the fractal derivative is introduced into a neural network-based discrete-time fractional-order PID controller in two areas, namely, controller’s structure and parameter optimization algorithm. The first use of to reconstruct by using Hausdorff difference sum derived from integral. It can avoid derivation Gamma function for order updating realize tuning based on networks. other p...

In this article, Pathfinder-Derivative filtered proportional-integral-derivative controller (PF-PIDF) is proposed as the optimum algorithm and for DC motor speed control. The Pathfinder inspired by collective behavior of animal colony imitates leadership hierarchy herds in order to determine best meal or hunting ground. movement all particles not regular, they move randomly. acquire parameters ...

Control systems are an integral part of almost every engineering and physical system and thus their accurate analysis is of utmost importance. Traditionally, control systems are analyzed using paper-andpencil proof and computer simulation methods, however, both of these methods cannot provide accurate analysis due to their inherent limitations. Model checking has been widely used to analyze con...

Sustainability is important in voltage regulation control grids and must be done successfully. In this paper, a novel tilt-fractional order integral-derivative with second derivative low-pass filters controller, referred to as TIλDND2N2 proposed enhance the performance of an automatic regulator (AVR). article, equilibrium optimizer (EO) algorithm used optimally determine eight parameters contro...

Proportional-Integral-Derivative (PID) and Proportional-Integral (PI) controllers are applied into the power system to examine the controller performance. Therefore, this work describes the application of an Artificial Intelligence (AI) optimization technique to design Proportional-Integral-Derivative (PID) controller for Load Frequency Control (LFC) of single area re-heat thermal power system....