The problem of output regulation for a class of hybrid linear systems characterized by periodic jumps is considered in this paper. Necessary and sufficient conditions for its solution are provided both in the full information and error feedback case. By a detailed analysis of such conditions, several interesting properties are derived, including the fact that the regulator must contain a (suitably defined) copy of the flow zero dynamics of the plant in addition to the usual copy of the exosystem dynamics, and the fact that the output regulation problem is generically solvable for fat plants (having more inputs than outputs) and generically not solvable for square plants. In addition, semi-classical solutions to the hybrid output regulation problem are introduced and discussed. Such solutions are characterized by the property that the required steady-state input can be generated as a simple linear function of the state of the exosystem (as in the non-hybrid case), although the associated steady-state response has a genuinely hybrid structure.

Carnevale, D., Galeani, S., Menini, L., & Sassano, M. (2016). Hybrid output regulation for linear systems with periodic jumps: solvability conditions, structural implications and semi-classical solutions. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61(9), 2416-2431 [10.1109/TAC.2015.2496258].

Hybrid output regulation for linear systems with periodic jumps: solvability conditions, structural implications and semi-classical solutions

CARNEVALE, DANIELE;GALEANI, SERGIO;MENINI, LAURA;SASSANO, MARIO
2016

Abstract

The problem of output regulation for a class of hybrid linear systems characterized by periodic jumps is considered in this paper. Necessary and sufficient conditions for its solution are provided both in the full information and error feedback case. By a detailed analysis of such conditions, several interesting properties are derived, including the fact that the regulator must contain a (suitably defined) copy of the flow zero dynamics of the plant in addition to the usual copy of the exosystem dynamics, and the fact that the output regulation problem is generically solvable for fat plants (having more inputs than outputs) and generically not solvable for square plants. In addition, semi-classical solutions to the hybrid output regulation problem are introduced and discussed. Such solutions are characterized by the property that the required steady-state input can be generated as a simple linear function of the state of the exosystem (as in the non-hybrid case), although the associated steady-state response has a genuinely hybrid structure.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/04 - Automatica
English
Con Impact Factor ISI
disturbance rejection; hybrid systems; internal model principle; output regulation; tracking; zero dynamics; control and systems engineering
Carnevale, D., Galeani, S., Menini, L., & Sassano, M. (2016). Hybrid output regulation for linear systems with periodic jumps: solvability conditions, structural implications and semi-classical solutions. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61(9), 2416-2431 [10.1109/TAC.2015.2496258].
Carnevale, D; Galeani, S; Menini, L; Sassano, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/168783
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