Optimal sampled-data control, and generalizations on time scales

Optimal Sampled-data Control

Generalizations of Gronwall-Bihari Inequalities on Time Scales

We establish some nonlinear integral inequalities for functions defined on a time scale. The results extend some previous Gronwall and Bihari type inequalities on time scales. Some examples of time scales for which our results can be applied are provided. An application to the qualitative analysis of a nonlinear dynamic equation is discussed.

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,...

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...

Sampled-data supervisory control

This paper focuses on issues related to implementing timed discrete-event systems (TDES) supervisors, and the concurrency and timing delay issues involved. In particular, we examine issues related to implementing TDES as sampled-data (SD) controllers. An SD controller is driven by a periodic clock and sees the system as a series of inputs and outputs. On each clock edge (tick event), it samples...