Rubagotti, Matteo and Zaccarian, Luca and Bemporad, Alberto A Lyapunov method for stability analysis of piecewise-affine systems over non-invariant domains. International Journal of Control, 89 (5). pp. 950-959. ISSN 0020-7179 (2016)
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Abstract
This paper analyses stability of discrete-time piecewise-affine systems, defined on possibly non-invariant domains, taking into account the possible presence of multiple dynamics in each of the polytopic regions of the system. An algorithm based on linear programming is proposed, in order to prove exponential stability of the origin and to find a positively invariant estimate of its region of attraction. The results are based on the definition of a piecewise-affine Lyapunov function, which is in general discontinuous on the boundaries of the regions. The proposed method is proven to lead to feasible solutions in a broader range of cases as compared to a previously proposed approach. Two numerical examples are shown, among which a case where the proposed method is applied to a closed-loop system, to which model predictive control was applied without a-priori guarantee of stability.
| Item Type: | Article |
|---|---|
| Identification Number: | 10.1080/00207179.2015.1108456 |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Research Area: | Computer Science and Applications |
| Depositing User: | Caterina Tangheroni |
| Date Deposited: | 24 Jan 2017 13:10 |
| Last Modified: | 24 Jan 2017 13:16 |
| URI: | http://eprints.imtlucca.it/id/eprint/3636 |
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