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[PDF] Top 20 Nonlinear programming approach for optimal control problems

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Nonlinear programming approach for optimal control problems

Nonlinear programming approach for optimal control problems

... solving optimal control ...the control parameterization approach is applied, where the control variables are defined as decision variables and are approximated via a finite dimensional ... See full document

6

An application of differential transform method for solving nonlinear optimal control problems

An application of differential transform method for solving nonlinear optimal control problems

... solving optimal control problems can also be derived using the Pontryagin’s maximum principle (PMP) ...the nonlinear OCP’s, this approach leads to a nonlinear Two-Point Boundary ... See full document

18

An Iterative Technique for Solving Nonlinear Optimal Control Problems Using Legendre Scaling Function

An Iterative Technique for Solving Nonlinear Optimal Control Problems Using Legendre Scaling Function

... solve optimal control problems, OCPs, the first is called indirect method in which optimal control problems are converted into two-point boundary value problem (TPBVP), then ... See full document

5

The Computational Technique for Nonlinear Nonconvex Optimal Control Problems Based on Modified Gully Method

The Computational Technique for Nonlinear Nonconvex Optimal Control Problems Based on Modified Gully Method

... applied optimal control problems demands high quality both of com- putational methods and software for these ...of optimal solutions in optimization prob- lems of dynamical systems, among ... See full document

11

The initial boundary value problem of a mixed typed hemivariational inequality

The initial boundary value problem of a mixed typed hemivariational inequality

... from problems of con- tinuum mechanics and optimal control problems, where nonmonotone, nonlinear, dis- continuous, and multi-valued constitutive laws and boundary or external ... See full document

10

A direct memetic approach to the solution of multi-objective optimal control problems

A direct memetic approach to the solution of multi-objective optimal control problems

... linear programming problem via DFET ...for optimal control problems was initially pro- posed in [7] and uses finite elements in time on spectral bases to transcribe the differential equations ... See full document

8

Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

... In this paper we solve the optimal control problem by combine perturbation method. To this end, there are quite a few fundamentally diverse approaches, some of which can be found in [18,19]. The homotopy ... See full document

8

On a Control Problem Containing Support Functions

On a Control Problem Containing Support Functions

... a control problem with a support function in the integrand of the objective func- tional and each inequality constraint ...nondifferentiable control problem are derived and Wolfe type duality is ... See full document

13

A two-phase variable neighborhood search for solving nonlinear optimal control problems

A two-phase variable neighborhood search for solving nonlinear optimal control problems

... these problems, but they usually need more computational time, though they don’t really need good initial guesses and deterministic ...solve optimal control ...time optimal control ... See full document

25

An Iterative method for Solving the Container Crane Constrained Optimal Control Problem Using Chebyshev Polynomials

An Iterative method for Solving the Container Crane Constrained Optimal Control Problem Using Chebyshev Polynomials

... linear optimal control problems (5)-(8) into a quadratic programming problem, some state variables are approximated by a finite length Chebyshev series with unknown parameters ...and ... See full document

8

Generalized Augmented Lagrangian Problem and Approximate Optimal Solutions in Nonlinear Programming

Generalized Augmented Lagrangian Problem and Approximate Optimal Solutions in Nonlinear Programming

... optimization problems and its unconstrained augmented Lagrangian problems have been established under mild conditions (see, ...of optimal solutions of the primal constrained optimization ... See full document

12

Symplectic Numerical Approach for Nonlinear Optimal Control of Systems with Inequality Constraints

Symplectic Numerical Approach for Nonlinear Optimal Control of Systems with Inequality Constraints

... the nonlinear optimal regulator design using the stable manifold ...usual control design procedure of the stable manifold method can be seamlessly ap- plied to constrained systems described by the ... See full document

15

On the Stable Sequential Kuhn Tucker Theorem and Its Applications

On the Stable Sequential Kuhn Tucker Theorem and Its Applications

... classical approach long adopted in optimization ...optimization problems and their duals are typically ...dual problems fully reveals itself even in very simple (at first glance) convex ... See full document

17

A Parametric Linearization Approach for Solving Zero One Nonlinear Programming Problems

A Parametric Linearization Approach for Solving Zero One Nonlinear Programming Problems

... A developed optimization method for solving integer nonlinear programming problem (INLP) with 0-1 vari- able could be found in [7]. This method is closely related to the lexicographic method of Gilmore and ... See full document

6

New a posteriori error estimates of mixed finite element methods for quadratic optimal control problems governed by semilinear parabolic equations with integral constraint

New a posteriori error estimates of mixed finite element methods for quadratic optimal control problems governed by semilinear parabolic equations with integral constraint

... for nonlinear parabolic optimal control problems by mixed finite element ...elliptic optimal control ...the control was approximated by piece- wise constant ...parabolic ... See full document

21

On optimality conditions for optimal control problem in coefficients for Δp-Laplacian

On optimality conditions for optimal control problem in coefficients for Δp-Laplacian

... or nonlinear state equations, we are faced with another problem - the Lagrange functional to the indicated problem is not Gâteaux dif- ferentiable at the ...perturbed optimal control problems ... See full document

29

An Exact Penalty Approach for Mixed Integer Nonlinear Programming Problems

An Exact Penalty Approach for Mixed Integer Nonlinear Programming Problems

... This approach was first intro- duced by Ragavachari [1] to solve 0-1 linear program- ming problems and was used by several researchers for solving real nonlinear discrete programming ... See full document

5

Optimal Power Flow Evaluation of Power System Using Genetic Algorithm

Optimal Power Flow Evaluation of Power System Using Genetic Algorithm

... discrete control variables, such as switchable shunt devices, transformer tap positions, and phase shifters, further complicates the problem ...solution.The optimal power flow problem has been discussed ... See full document

6

Proximal Methods for Elliptic Optimal Control Problems with Sparsity Cost Functional

Proximal Methods for Elliptic Optimal Control Problems with Sparsity Cost Functional

... □ Notice that L : = L J ( ) ˆ 2 represents the smallest value of L such that (4.5) is satisfied. We remark that the discussion that follows is valid for L ≥ L J ( ) ˆ 2 as in Lemma 4.5. However, as we discuss below, the ... See full document

26

Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization

Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization

... new approach using linear combination property of intervals and discretization is proposed to solve a class of nonlinear optimal control problems, containing a nonlinear system ... See full document

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