Numerical ISS controller design via a dynamic game approach

53rd IEEE Conference on Decision and Control

Sigurani

2014

Self Cite

Abstract-We consider the construction of event-based inputto-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.

Section: Isps Controller Designmentioning

confidence: 99%

“…Numerically, V P can be computed by the graph theoretic approach from [9], [13], considering both d and the discretization error as perturbations, cf. [14].…”

Section: Game Theoretic Stabilizing Controller Design For Perturmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Construction of event-based ISS controllers on coarse quantizations

53rd IEEE Conference on Decision and Control

Sigurani

2014

Self Cite

“…One way to compute ISS Lyapunov functions is by computing robust Lyapunov functions for suitable auxiliary systems, see, e.g., [20,15,6]. However, the introduction of auxiliary systems typically makes the gain functions very conservative.…”

Section: Introductionmentioning

confidence: 99%

Computation of local ISS Lyapunov functions for discrete-time systems via linear programming

Journal of Mathematical Analysis and Applications

2016

This paper presents a numerical algorithm for computing ISS Lyapunov functions for discrete-time systems which are input-to-state stable (ISS) on compact subsets of the state space. The algorithm relies on solving a linear optimization problem and delivers a continuous and piecewise affine ISS Lyapunov function on a suitable triangulation covering the given compact set excluding a small neighbourhood of the origin. The objective of the linear optimization problem is to minimize the ISS gain. It is shown that for every ISS system there exist a suitable triangulation such that the proposed algorithm terminates successfully.

Experimental evaluation of two complementary decentralized event-based control methods

Sigurani

Stöcker

Control Engineering Practice

et al. 2015

Event-based control aims at reducing the feedback communication effort among the sensors, controllers and actuators in control loops to time instants at which the feedback of information is necessary to meet a desired control performance. 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 keeps the state 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.