To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems
Top Cited Papers
- 17 February 2010
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 55 (9), 2030-2042
- https://doi.org/10.1109/tac.2010.2042980
Abstract
Feedback control laws have been traditionally implemented in a periodic fashion on digital hardware. Although periodicity simplifies the analysis of the mismatch between the control design and its digital implementation, it also leads to conservative usage of resources such as CPU utilization in the case of embedded control. We present a novel technique that abandons the periodicity assumption by using the current state of the plant to decide the next time instant in which the state should be measured, the control law computed, and the actuators updated. This technique, termed self-triggered control, is developed for two classes of nonlinear control systems, namely, state-dependent homogeneous systems and polynomial systems. The wide applicability of the proposed results is illustrated in two well known physical examples: a jet engine compressor and the rigid body.Keywords
This publication has 23 references indexed in Scilit:
- Analysis of event-driven controllers for linear systemsInternational Journal of Control, 2008
- 3 Sampled-data Control of Nonlinear SystemsPublished by Springer Science and Business Media LLC ,2006
- Modelling and optimal controller design of networked control systems with multiple delaysInternational Journal of Control, 2003
- Quantized feedback stabilization of linear systemsIEEE Transactions on Automatic Control, 2000
- Homogeneous State Feedback Stabilization of Homogenous SystemsSIAM Journal on Control and Optimization, 2000
- Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximationsSystems & Control Letters, 1999
- GEOMETRIC HOMOGENEITY AND STABILIZATIONPublished by Elsevier BV ,1995
- Nilpotent and High-Order Approximations of Vector Field SystemsSiam Review, 1991
- New results and examples in nonlinear feedback stabilizationSystems & Control Letters, 1989
- The geometry of homogeneous polynomial dynamical systemsNonlinear Analysis, 1980