Linear–quadratic optimal sampled-data control problems: Convergence result and Riccati theory

Linear-quadratic optimal sampled-data control problems: Convergence result and Riccati theory

We consider a general linear control system and a general quadratic cost, where the state evolves continuously in time and the control is sampled, i.e., is piecewise constant over a subdivision of the time interval. This is the framework of a linear-quadratic optimal sampleddata control problem. As a first result, we prove that, as the sampling periods tend to zero, the optimal sampled-data con...

Optimal Sampled-data Control

Approximation of Optimal Control Problems in the Coefficient for the p-Laplace Equation. I. Convergence Result

We study a Dirichlet optimal control problem for a quasi-linear monotone elliptic equation, the so-called weighted p-Laplace problem. The coefficient of the p-Laplacian, the weight u, we take as a control in BV (Ω) ∩ L∞(Ω). In this article, we use box-type constraints for the control such that there is a strictly positive lower and some upper bound. In order to handle the inherent degeneracy of...

Optimal Hold Functions for MDCS Sampled-Data Problems

In this paper the H and H∞ sampled-data problems with mixed discrete/continuous specifications (MDCS) are considered. The hold function is not fixed a-priory but rather is the design parameter. The (sub)optimal controller obtained is of the form of a serial interconnection of a (sub)optimal digital controller and a (sub)optimal hold function.

Optimal Relaxed Causal Sampler Using Sampled-data System Theory

This paper studies the design of an optimal relaxed causal sampler using sampled data system theory. A lifted frequency domain approach is used to obtain the existence conditions and the optimal sampler. A state space formulation of the results is also provided. The resulting optimal relaxed causal sampler is a cascade of a linear continuous time system followed by a generalized sampler and a d...