Skip to Main content Skip to Navigation
Conference papers

Temporal and One-Step Stabilizability and Detectability of Time-Varying Discrete-Time Linear Systems

Abstract : Time-varying discrete-time linear systems may be temporarily uncontrollable and unreconstructable. This is vital knowledge to both control engineers and system scientists. Describing and detecting the temporal loss of controllability and reconstructability requires considering discrete-time systems with variable dimensions and the j-step, k-step Kalman decomposition. In this note for linear discrete-time systems with variable dimensions measures of temporal and one-step stabilizability and detectability are developed. These measures indicate to what extent the temporal loss of controllability and reconstructability may lead to temporal instability of the closed loop system when designing a static state or dynamic output feedback controller. The measures are calculated by solving specific linear quadratic cheap control problems.
Complete list of metadatas

Cited literature [20 references]  Display  Hide  Download

https://hal.inria.fr/hal-01347551
Contributor : Hal Ifip <>
Submitted on : Thursday, July 21, 2016 - 11:21:54 AM
Last modification on : Saturday, November 18, 2017 - 6:16:02 PM

File

978-3-642-36062-6_31_Chapter.p...
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

L. Willigenburg, Willem Koning. Temporal and One-Step Stabilizability and Detectability of Time-Varying Discrete-Time Linear Systems. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.306-317, ⟨10.1007/978-3-642-36062-6_31⟩. ⟨hal-01347551⟩

Share

Metrics

Record views

81

Files downloads

100