Mixed discrete/continuous specifications in sampled-data H2-optimal control

Mixed discrete/continuous specifications in sampled-data H2-optimal control

The increasing use of digital equipment in control in the last half century made a tremendous impact on controller design methodology. On the other hand, it had little affect on the control problem formulation: the control goals to a large extent still remain those of the analog world. The goal of this paper is to introduce and justify a new approach to sampled-data control system design, which...

Optimal Sampled-data Control

Mixed H 2 =h 1 Control of Sampled-data Systems

A worst-case mixed H 2 =H 1-optimal control problem is formulated and solved for sampled-data systems. The solution is obtained in terms of a set of synthesis equations, which correspond to similar synthesis equations for the continuous and discrete mixed H 2 =H 1 problems. The mixed H 2 =H 1 problem can be applied to the design of controllers which achieve robust H 2 performance for uncertain ...

Optimal Sampled–Data State Feedback Control of Linear Systems ⋆

This paper addresses and solves two optimal state-feedback control design problems for sampled-data systems. First, we reformulate the closed-loop system as a special linear hybrid system. Then, two theorems are developed to evaluate the H2 and the H∞ performances of hybrid systems using specific two-point boundary value problems. Both theorems are adapted to provide optimal control conditions,...

Sampled-Data Event Control of Hybrid Systems for Control Specifications Given by Predicates

We consider a hybrid system controlled by a sampled-data controller whose action is periodically time-driven, that is, the control inputs can change only at the particular time instants. We introduce a transition system as semantics of the controlled hybrid system and consider a control specification given by a predicate. First, we derive a necessary and sufficient condition for the predicate t...