Abstract
In this paper we will provide algebraic necessary and sufficient conditions for the controllability/reachability/null controllability of a class of bimodal discrete-time piecewise linear systems including several instances of interest that are not covered by existing works which focus primarily on the planar case. In particular, the class is characterized by a continuous right-hand side, a scalar input and a transfer function from the control input to the switching variable with at most two zeroes whereas the state can be of any dimension. To arrive at the main result, we will make use of geometric control theory for linear systems and a novel result on controllability for input-constrained linear systems with non-convex constraint sets.
| Original language | English |
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| Title of host publication | 2013 European Control Conference, ECC 2013 |
| Place of Publication | Piscataway |
| Publisher | Institute of Electrical and Electronics Engineers |
| Pages | 1663-1668 |
| Number of pages | 6 |
| ISBN (Print) | 9783033039629 |
| DOIs | |
| Publication status | Published - 1 Dec 2013 |
| Event | 12th European Control Conference, ECC 2013 - Zurich, Switzerland, Zürich, Switzerland Duration: 17 Jul 2013 → 19 Jul 2013 Conference number: 12 http://www.ecc2013.ethz.ch/ |
Conference
| Conference | 12th European Control Conference, ECC 2013 |
|---|---|
| Abbreviated title | ECC 2013 |
| Country/Territory | Switzerland |
| City | Zürich |
| Period | 17/07/13 → 19/07/13 |
| Other | European Control Conference 2013 |
| Internet address |
Keywords
- Bimodal systems
- controllability
- hybrid systems
- non-convex input constraint set
- piecewise linear systems
- reachability