Construction of event-based ISS controllers on coarse quantizations

International audienceWe consider the construction of event-based input-to-state stabilizing state feedback controllers for perturbed nonlinear discrete time systems. The controllers are designed to be constant on possibly coarse quantization regions. An event is triggered upon every transition of the state from one quantization region to another. The practical contribution of the paper is an algorithmic design approach based on game theoretic ideas, feasible for low dimensional systems. The theoretical contribution consists of a novel piecewise constant event-based ISS Lyapunov function concept which is consistent with the imposed quantization

Experimental evaluation of two complementary decentralized event-based control methods

To appear in Control Engineering PracticeInternational audienceEvent-based control aims at the reduction of the feedback communication effort among the sensors, controllers and actuators in control loops. The feedback communication is invoked by some well-defined triggering condition. This paper presents a new method for the decentralized event-based control of physically interconnected systems and shows its experimental evaluation. The novel method is based on two complementary approaches, called the global and the local approach, which jointly ensure the ultimate boundedness of the closed-loop system. The global approach steers the state of each subsystem into a target region, whereas the local approach makes the state remain in this set in spite of exogenous disturbances and the effect of the interconnections to other subsystems. This event-based control method is applied to a continuous flow process to show its practical implementation and to evaluate the analytical results on the basis of experiments

Numerical event-based ISS controller design via a dynamic game approach

16 pagesWe present an event-based numerical design method for a inputto- state practically stabilizing (ISpS) state feedback controller for perturbednonlinear discrete time systems. The controllers are designed to be constant on quantization regions which are not assumed to be small. A transition of the state from one quantization region to another triggers an event upon which the control value changes.The controller construction relies on the conversion of the ISpS design problem into a robust controller design problem which is solved by a set oriented discretization technique followed by the solution of a dynamic game on a hypergraph.We present and analyze this approach with a particular focus on a quantitive analysis of the resulting gain and the size of the exceptional regionfor practical stability in an event-based setting