Scheduling of Periodic Event-Triggered Control to balance Control Performance and Average Inter-Sample Times

Scheduling of Periodic Event-Triggered Control to balance Control Performance and Average Inter-Sample Times

Looman, Menno (TU Delft Mechanical, Maritime and Materials Engineering; TU Delft Delft Center for Systems and Control; TU Delft Team Manuel Mazo Jr)

Mazo, M. (mentor)
Batselier, K. (graduation committee)

Delft University of Technology

Mechanical Engineering | Systems and Control

2023-08-29

Traditionally, Event-Triggered Control (ETC) methods are sample-and-hold control schemes that implement a triggering condition in order to reduce the number of control updates. Given a decay rate of the Lyapunov function, they focus on minimizing the (average) Inter-Sample Time (IST). In this thesis, we focused on the scheduling of Periodic Event-Triggered Control (PETC) controllers. By dynamically switching between triggering conditions, we
are maximizing the average rate of decay of the Common Lyapunov Function (CLF) given a minimum Average Inter Sample Time (AIST) or burst condition.

Given the physical system, we construct a switched system which captures all possible
scheduling behaviors. The l-complete abstraction of the switched system is constructed by solving a conjunction of quadratic equations. By setting a minimum AIST or burst condition, a set of states in the abstraction is marked and a safety game is played to construct the Maximal Permissive Controller (MPC).

On the safe behaviors inside the MPC, the guaranteed minimum control performance is maximized for the infinite horizon problem, i.e. by maximizing the minimum weighted time average of the primitive cycles in the MPC. First, several energy games are played to estimate
the maximum control performance. Thereafter, a mean-payoff game is played to generate the strategy securing this maximum control performance, which is used to construct the infinite horizon controller.

Event-triggered control
Periodic Event-Triggered Control
Average Inter-Sample Time
Lyapunov Stability
Mean-Payoff Games
Maximal Permissive Controller
Primitive Cycles
Traffic models

http://resolver.tudelft.nl/uuid:334c2ff8-af31-4984-bd4b-82835c84cd32

http://gitlab.tudelft.nl/sync-lab/ETCetera/-/tree/menno_thesis Link to the gitlab branch with all relevant code used and produced during this thesis project

Student theses

master thesis

© 2023 Menno Looman