Rubagotti, Matteo and Trimboli, Sergio and Bemporad, Alberto Stability and Invariance Analysis of Uncertain Discrete-Time Piecewise Affine Systems. IEEE Transactions on Automatic Control , 58 (9). pp. 2359-2365. ISSN 0018-9286 (2013)
Full text not available from this repository.Abstract
This note proposes a method to analyze uniform asymptotic stability and uniform ultimate boundedness of uncertain piecewise affine systems whose dynamics are only defined in a bounded and possibly non-invariant set X of states. The approach relies on introducing fake dynamics outside X and on synthesizing a piecewise affine and possibly discontinuous Lyapunov function via linear programming. The existence of such a function proves stability properties of the original system and allows the determination of a region of attraction contained in X. The procedure is particularly useful in practical applications for analyzing the stability of piecewise affine control systems that are only defined over a bounded subset X of the state space, and to determine whether for a given set of initial conditions the trajectories of the state vector remain within the domain X.
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/10.1109/TAC.2013.2251774 |
| Uncontrolled Keywords: | Model predictive control (MPC); piecewise affine (PWA); piecewise quadratic (PWQ) |
| Subjects: | T Technology > TK Electrical engineering. Electronics Nuclear engineering |
| Research Area: | Computer Science and Applications |
| Depositing User: | Ms T. Iannizzi |
| Date Deposited: | 30 Sep 2013 12:23 |
| Last Modified: | 30 Sep 2013 12:23 |
| URI: | http://eprints.imtlucca.it/id/eprint/1811 |
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