Mixed Sensitivity Problem in Sampled-Data Positioning Control System

Sampled-data reachability analysis using sensitivity and mixed-monotonicity

This paper deals with the over-approximation of the reachable sets of a continuous-time uncertain system based on the sensitivity of its trajectories with respect to initial conditions and uncertain parameters. We first prove the equivalence between an existing over-approximation result based on the sign-stability of the sensitivity matrices and a discrete-time approach relying on a mixed-monot...

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...

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 ...

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...

Optimal Sampled-data Control