Abstract
Model Predictive Control (MPC) has recently been applied to several relevant classes of hybrid systems with promising results. These developments generated an increasing interest towards issues such as stability and computational problems that arise in hybrid MPC. Stability aspects have been addressed only marginally. In this paper we present an extension of the terminal cost and constraint set method for guaranteeing stability in MPC to the class of constrained piecewise affine systems. Semidefinite programming is used to calculate the employed terminal weight matrix that ensures stability for quadratic cost based MPC. A procedure for computing a robust positively invariant set for piecewise linear systems is also developed. The implementation of the proposed method is illustrated by an example.
| Original language | English |
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| Title of host publication | 43rd IEEE Conference on Decision and Control (CDC) |
| Place of Publication | Piscataway |
| Publisher | Institute of Electrical and Electronics Engineers |
| Pages | 4595-4600 |
| Number of pages | 6 |
| ISBN (Print) | 0-7803-8682-5 |
| DOIs | |
| Publication status | Published - 1 Dec 2004 |
| Event | 43rd IEEE Conference on Decision and Control (CDC 2004) - "Atlantis", Nassau, Bahamas Duration: 14 Dec 2004 → 17 Dec 2004 Conference number: 43 http://cdc2004.ieeecss.org/ |
Conference
| Conference | 43rd IEEE Conference on Decision and Control (CDC 2004) |
|---|---|
| Abbreviated title | CDC 2004 |
| Country/Territory | Bahamas |
| City | Nassau |
| Period | 14/12/04 → 17/12/04 |
| Internet address |
Keywords
- Linear matrix inequalities
- Model predictive control
- Piecewise affine systems
- Positively invariant sets
- Stability