Optimal Wavelet Expansion via Sampled-Data Control Theory

Optimal Sampled-data Control

Optimal Discretization of Analog Filters via Sampled-Data H-infinity Control Theory

In this article, we propose optimal discretization of analog filters (or controllers) based on the theory of sampled-data H∞ control. We formulate the discretization problem as minimization of the H∞ norm of the error system between a (delayed) target analog filter and a digital system including an ideal sampler, a zero-order hold, and a digital filter. The problem is reduced to discrete-time H...

Optimal discretization of analog filters via sampled-data H∞ control theory

In this article, we propose optimal discretization of analog filters (or controllers) based on the theory of sampleddata H∞ control. We formulate the discretization problem as minimization of the H∞ norm of the error system between a (delayed) target analog filter and a digital system including an ideal sampler, a zero-order hold, and a digital filter. The problem is reduced to discrete-time H∞...

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...

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...