Displaying similar documents to “Second order conditions for periodic optimal control problems”

Optimal placement of controls for a one-dimensional active noise control problem

Fariba Fahroo (1998)

Kybernetika

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In this paper, we investigate the optimal location of secondary sources (controls) to enhance the reduction of the noise field in a one-dimensional acoustic cavity. We first formulate the active control strategy as a linear quadratic tracking (LQT) problem in a Hilbert space, and then formulate the optimization problem as minimizing an appropriate performance criterion based on the LQT cost function with respect to the location of the controls. A numerical scheme based on the Legendre–tau...

A simple solution to the finite-horizon LQ problem with zero terminal state

Lorenzo Ntogramatzidis (2003)

Kybernetika

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This short paper deals with the classical finite-horizon linear-quadratic regulator problem with the terminal state constrained to be zero, for both continuous and discrete-time systems. Closed-form expressions for the optimal state and costate trajectories of the Hamiltonian system, as well as the corresponding control law, are derived through the solutions of two infinite- horizon LQ problems, thus avoiding the use of the Riccati differential equation. The computation of the optimal...