We study discrete solutions of nonlinear optimal control problems. By value functions , we construct difference equations to approximate the optimal control on each interval of " small " time. We aim to find a discrete optimal feedback control. An algorithm is proposed for computing the solution of the optimal control problem. 1. Introduction and statement of the problem. For nonlinear analytic...

First Riccati equation with matrix variable coefficients, arising in optimal and robust control approach, is considered. An analytical approximation of the solution of nonlinear differential Riccati equation is investigated using the Adomian decomposition method. An application in optimal control is presented. The solution in different order of approximations and different methods of approximat...

Optimal Reactive Power Dispatch (ORPD) is a multi-variable problem with nonlinear constraints and continuous/discrete decision variables. Due to the stochastic behavior of loads, the ORPD requires a probabilistic mathematical model. In this paper, Monte Carlo Simulation (MCS) is used for modeling of load uncertainties in the ORPD problem. The problem is formulated as a nonlinear constrained mul...

In this paper, an intelligent-gradient based algorithm is proposed to solve time optimal bang-bang control problem. The proposed algorithm is a combination of an intelligent algorithm called improved particle swarm optimization algorithm (IPSO) in the first stage of optimization process together with a gradient-based algorithm called successive quadratic programming method (SQP) in the second s...

‎In this paper‎, ‎we present a numerical method based on Bernstein polynomials to solve optimal control systems with constant and pantograph delays‎. ‎Constant or pantograph delays may appear in state-control or both‎. ‎We derive delay operational matrix and pantograph operational matrix for Bernstein polynomials then‎, ‎these are utilized to reduce the solution of optimal control with constant...

The problem of control systems design for nonlinear plants still has no exhaustive solution. This problem is commonly solved on the basis of transformation of the nonlinear plant equations to some simple. Such approach simplifies the solution of the control system design problem and makes the solution analytical. For design of the optimal control systems for the nonlinear plants, their equation...

this research focuses on proposing an optimal trajectory planning and control method of two link rigid-flexible manipulators (tlrfm) for dynamic object manipulation (dom) missions. for the first time, achievement of dom task using a rotating one flexible link robot was taken into account in [20]. the authors do not aim to contribute on either trajectory tracking or vibration control of the end-...

This research focuses on proposing an optimal trajectory planning and control method of two link rigid-flexible manipulators (TLRFM) for Dynamic Object Manipulation (DOM) missions. For the first time, achievement of DOM task using a rotating one flexible link robot was taken into account in [20]. The authors do not aim to contribute on either trajectory tracking or vibration control of the End-...

Optimal control problems for switched nonlinear systems are investigated. We propose an alternative approach for solving the optimal control problem for a nonlinear switched system based on the theory of moments. The essence of this method is the transformation of a nonlinear, nonconvex optimal control problem, that is, the switched system, into an equivalent optimal control problem with linear...