Please use this identifier to cite or link to this item: https://doi.org/10.1002/rnc.1279
Title: Constrained piecewise linear systems with disturbances: Controller design via convex invariant sets
Authors: Sui, D.
Ong, C.J. 
Keywords: Disturbance invariant set
Model predictive control
Piecewise linear systems with bounded disturbances
Set approximation
Time optimal control
Issue Date: 10-Sep-2008
Source: Sui, D., Ong, C.J. (2008-09-10). Constrained piecewise linear systems with disturbances: Controller design via convex invariant sets. International Journal of Robust and Nonlinear Control 18 (13) : 1327-1347. ScholarBank@NUS Repository. https://doi.org/10.1002/rnc.1279
Abstract: This paper presents two control strategies under the time optimal control and model predictive control frameworks for constrained piecewise linear systems with bounded disturbances (PWLBD systems). Each of the proposed approaches uses an inner convex polytopal approximation of the non-convex domains of attraction and results in simplified control laws that can be determined off-line via multi-parametric programming. These control strategies rely on invariant sets of PWLBD systems. Thereby, approaches for the computation of the disturbance invariant outer bounds of the minimal disturbance invariant set, F ∞, and convex polytopal disturbance invariant sets are presented. The effectiveness of the approaches is assessed through numerical examples. Copyright © 2007 John Wiley & Sons, Ltd.
Source Title: International Journal of Robust and Nonlinear Control
URI: http://scholarbank.nus.edu.sg/handle/10635/84935
ISSN: 10498923
DOI: 10.1002/rnc.1279
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