The sector bound approach to quantized feedback control
Top Cited Papers
- 14 November 2005
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 50 (11) , 1698-1711
- https://doi.org/10.1109/tac.2005.858689
Abstract
This paper studies a number of quantized feedback design problems for linear systems. We consider the case where quantizers are static (memoryless). The common aim of these design problems is to stabilize the given system or to achieve certain performance with the coarsest quantization density. Our main discovery is that the classical sector bound approach is nonconservative for studying these design problems. Consequently, we are able to convert many quantized feedback design problems to well-known robust control problems with sector bound uncertainties. In particular, we derive the coarsest quantization densities for stabilization for multiple-input-multiple-output systems in both state feedback and output feedback cases; and we also derive conditions for quantized feedback control for quadratic cost and H/sub /spl infin// performances.Keywords
This publication has 20 references indexed in Scilit:
- Control Under Communication ConstraintsIEEE Transactions on Automatic Control, 2004
- Control Over Noisy ChannelsIEEE Transactions on Automatic Control, 2004
- Stabilization of linear systems with limited informationIEEE Transactions on Automatic Control, 2001
- Quantized feedback stabilization of linear systemsIEEE Transactions on Automatic Control, 2000
- Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedbackIEEE Transactions on Automatic Control, 1999
- Systems with finite communication bandwidth constraints. I. State estimation problemsIEEE Transactions on Automatic Control, 1997
- H/sub infinity / analysis and synthesis of discrete-time systems with time-varying uncertaintyIEEE Transactions on Automatic Control, 1993
- Stabilizing a linear system with quantized state feedbackIEEE Transactions on Automatic Control, 1990
- Quadratic stability with real and complex perturbationsIEEE Transactions on Automatic Control, 1990
- Quantizer effects on steady-state error specifications of digital feedback control systemsIEEE Transactions on Automatic Control, 1989