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[ZR19] Saturation Control of Switched Nonlinear Systems
Revue Internationale avec comité de lecture : Journal Nonlinear Analysis: Hybrid Systems, pp. ., 2019Mots clés: Switched nonlinear systems; Positive systems; Saturation control; Linear programming
Résumé:
This paper investigates the saturation control for a class of
switched nonlinear systems, where the nonlinearity function is restricted
in a sector. The proposed approach is based on the theory of positive systems and a
criterion is addressed to ensure the positivity property of the
considered systems. The system states starting from a cone will remain in
another cone. Under an average dwell time condition, a control design
methodology is established in terms of linear programming. It is shown
in this paper that the proposed approach can be applied for positive
systems and also for a general class of nonlinear systems. Then, the
saturation control synthesis of switched nonlinear systems with exogenous
disturbances is addressed. Under the designed saturation controller, the
states of each subsystem start from a cone and remain within it. Thus,
the states of the switched systems start from a cone containing the
origin and remain in another cone. Finally, the proposed methodology is
applied to a nonlinear control system.
BibTeX
| @article { | |||
| ZR19, | |||
| title | = | "{Saturation Control of Switched Nonlinear Systems}", | |
| author | = | "J. Zhang and T. Raïssi", | |
| journal | = | "Nonlinear Analysis: Hybrid Systems", | |
| year | = | 2019, | |
| pages | = | ".", | |
| } | |||
