Sampled-Data Control of Formation Flying using Optimal Linearization

Optimal Sampled-data Control

Sampled-data observer error linearization

An analysis of the effects of time-sampling on the obseroer error lineariza-tion design methodology shows that requiring the method to be applicable for an open set of sampling times trioializes the class of allowable systems. Abstract-The effects of time-sampling on the solvability conditions for the observer linearization design methodology are investigated. It is shown that the class of syst...

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,...

Optimal Trajectory Planning of Formation Flying Spacecraft

This paper introduces a closed-loop Guidance and Control optimal algorithm that balances the propellant consumption and the need for collision avoidance among formation ‡ying spacecraft. This model-based algorithm is purely algebraic and computes the spacecraft trajectories from the knowledge of the formation linearized relative dynamics equations and the formation full state. Using Pontryagin’...

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...