A Framework for Stabilization of Nonlinear Sampled-Data Systems Based on Their Approximate Discrete-Time Models
Top Cited Papers
- 12 July 2004
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 49 (7) , 1103-1122
- https://doi.org/10.1109/tac.2004.831175
Abstract
A unified framework for design of stabilizing controllers for sampled-data differential inclusions via their approximate discrete-time models is presented. Both fixed and fast sampling are considered. In each case, sufficient conditions are presented which guarantee that the controller that stabilizes a family of approximate discrete-time plant models also stabilizes the exact discrete-time plant model for sufficiently small integration and/or sampling periods. Previous results in the literature are extended to cover: 1) continuous-time plants modeled as differential inclusions; 2) general approximate discrete-time plant models; 3) dynamical discontinuous controllers modeled as difference inclusions; and 4) stability with respect to closed arbitrary (not necessarily compact) sets.Keywords
This publication has 35 references indexed in Scilit:
- Integral versions of iss for sampled-data nonlinear systems via their approximate discrete-time modelsIEEE Transactions on Automatic Control, 2002
- A note on input-to-state stabilization for nonlinear sampled-data systemsIEEE Transactions on Automatic Control, 2002
- Command governors for constrained nonlinear systemsIEEE Transactions on Automatic Control, 1999
- Clocks and Insensitivity to Small Measurement ErrorsESAIM: Control, Optimisation and Calculus of Variations, 1999
- Stabilizing receding-horizon control of nonlinear time-varying systemsIEEE Transactions on Automatic Control, 1998
- Robust control of set-valued discrete-time dynamical systemsIEEE Transactions on Automatic Control, 1998
- Asymptotic controllability implies feedback stabilizationIEEE Transactions on Automatic Control, 1997
- On regulation under samplingIEEE Transactions on Automatic Control, 1997
- Receding horizon control and discontinuous state feedback stabilizationInternational Journal of Control, 1995
- Numerical nonlinear regulator designIEEE Transactions on Automatic Control, 1994