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The Optimal Control Method

A nonlinear physics-based optimal control method for magnetostrictive actuators

A nonlinear physics-based optimal control method for magnetostrictive actuators

... physics-based control method is presented as ...prototypical control system with nonlinear actuator inputs. The control problem is discussed in Section ...nonlinear optimal ...

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A spline wavelet collection method for the optimal control of flexible spacecraft

A spline wavelet collection method for the optimal control of flexible spacecraft

... loop optimal control method used in the above literature is rarely used for the flexible spacecraft especially with low first mode ...mal control problem (OCP) is unattainable for all but a ...

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A spline wavelet collection method for the optimal control of flexible spacecraft

A spline wavelet collection method for the optimal control of flexible spacecraft

... loop optimal control method used in the above literature is rarely used for the flexible spacecraft especially with low first mode ...mal control problem (OCP) is unattainable for all but a ...

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A Splitting Method for Optimal Control

A Splitting Method for Optimal Control

... our method can solve optimal control problems to an acceptable accuracy very rapidly, indicating that it is suitable for use in, ...high-frequency control applications. Another advantage of ...

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A multigrid method for constrained optimal control problems

A multigrid method for constrained optimal control problems

... smoothing method in more ...discretized optimal control ...the optimal control problem versus the solution time of the underlying PDE problem, again using ...discretized optimal ...

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A Hybrid Method for Solving Optimal Control Problems

A Hybrid Method for Solving Optimal Control Problems

... powerful method for solving nonlinear differential equations so it make present method a good tool dealing with nonlinear optimal control ...

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The Design of Optimal PID Control Method for Quadcopter Movement Control

The Design of Optimal PID Control Method for Quadcopter Movement Control

... motion control applied to quadcopter was linear quadratic regulator (LQR) control method by minimizing the energy function to obtain the weighted value of Q matrix for optimal result ...an ...

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The Method of Non Local Control Improvement in Optimal Control Problems with Constraints

The Method of Non Local Control Improvement in Optimal Control Problems with Constraints

... solving optimal control problems with terminal and phase con- straints is proposed on the basis of constructing and solving a system of conditions for improving admissible control in the form of the ...

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Global optimal control with the direct multiple shooting method

Global optimal control with the direct multiple shooting method

... We are not going to dwell further on these topics in this paper, but take it as one motivation to use the method also for global optimization. • The overall number of nodes in a spatial Branch&Bound tree. This ...

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An optimal control variance reduction method for density estimation

An optimal control variance reduction method for density estimation

... one has to study the weak error of the above expression together with the variance behavior. This brings us to study a central limit theorem for the error process. A similar study in the regular case (with one less ...

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Optimal control, Orthogonal Polynomials, Spectral Method, Legendre Polynomials, Riccati Method

Optimal control, Orthogonal Polynomials, Spectral Method, Legendre Polynomials, Riccati Method

... to optimal control problems with a weighed quadratic cost function, is ...The method consists of using the Orthogonal Polynomials for the expansion of the state variables and the control ...

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Optimal Control of the Atmospheric Reentry of a Space Shuttle by an Homotopy Method

Optimal Control of the Atmospheric Reentry of a Space Shuttle by an Homotopy Method

... the control at entry time is not ensured and the homotopy algorithm 1 is no longer appropriate to solve the ...the control enters nonlinearly and the strenghtened Legendre-Clebsch condition does not ...

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A spatial domain decomposition method for parabolic optimal control problems

A spatial domain decomposition method for parabolic optimal control problems

... decomposition method for the solution of linear–quadratic parabolic optimal control ...parabolic optimal control problem is decomposed into smaller problems posed on space–time cylinder ...

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Reduced Basis Method for Parametrized Elliptic Optimal Control Problems

Reduced Basis Method for Parametrized Elliptic Optimal Control Problems

... basis method (RB)—for the rapid and reliable solution of parametrized optimal control problems governed by par- tial differential ...infinite-dimensional control vari- able. First, we recast the ...

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Parametric Iteration Method for Solving Linear Optimal Control Problems

Parametric Iteration Method for Solving Linear Optimal Control Problems

... n be hich can be identified optimally by the technique pro- posed in this paper. We show that a suitable value of h, directly improves the rate of convergence. The auxiliary function H t   prepare us to have various ...

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An Efficient Gradient Projection Method for Stochastic Optimal Control Problems

An Efficient Gradient Projection Method for Stochastic Optimal Control Problems

... STOCHASTIC OPTIMAL CONTROL PROBLEMS ∗ BO GONG ∗ , WENBIN LIU † , TAO TANG ‡ , WEIDONG ZHAO § , AND TAO ZHOU ¶ ...stochastic optimal control problems. We first reduce the optimal ...

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Reduced basis method for optimal control of unsteady viscous flows

Reduced basis method for optimal control of unsteady viscous flows

... basis method for opti- mal control problems in unsteady viscous ...basis method uses basis functions which are generated from the problem that is being ...dierence method which uses grid ...

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A Parallel-In-Time Gradient-Type Method For Optimal Control Problems

A Parallel-In-Time Gradient-Type Method For Optimal Control Problems

... an optimal control point of view as the origin of the adjoint ...projection method, gener- alized reduced gradient method, constraint lumping method, augmented Lagrangian method, ...

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Solution of optimal control problems by a pointwise projected newton method

Solution of optimal control problems by a pointwise projected newton method

... ~ is small enough then the Riccati equation with H uu + and support on I ~ also has a bounded solution on [0;T]. This completes the proof. Next we discuss the statements in Assumption 2.3. For the nite dimensional case, ...

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A Multiple Shooting Descent-based Filter Method for Optimal Control

A Multiple Shooting Descent-based Filter Method for Optimal Control

... descent method based on a filter methodology is proposed to solve a finite-dimensional nonlinear optimization problem that arises from the use of a direct multiple shooting method for ...filter ...

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