- Title
- On componentwise ultimate bound minimisation for switched linear systems via closed-loop lie-algebraic solvability
- Creator
- Heidari, Rahmat; Seron, Maria M.; Braslavsky, Julio H.; Haimovich, Hernan
- Relation
- 19th World Congress of the International Federation of Automatic Control (IFAC 2014). Proceedings of the 19th IFAC World Congress, 2014 (Cape Town, South Africa 24-29 August, 2014) p. 4085-4090
- Publisher Link
- http://dx.doi.org/10.3182/20140824-6-ZA-1003.02663
- Publisher
- International Federation of Automatic Control (IFAC)
- Resource Type
- conference paper
- Date
- 2014
- Description
- We present a novel state feedback design method for perturbed discrete-time switched linear systems. The method aims at achieving (a) closed-loop stability under arbitrary switching and (b) minimisation of ultimate bounds for specific state components. Objective (a) is achieved by computing state feedback matrices so that the closed-loop $A$ matrices generate a solvable Lie algebra (i.e. admit simultaneous triangularisation). Previous results derived an iterative algorithm that computes the required feedback matrices, and established conditions under which this procedure is possible. Based on these conditions, objective (b) is achieved by exploiting available degrees of freedom in the iterative algorithm.
- Subject
- switched systems; Eigenstructure assignment; ultimate bounds
- Identifier
- http://hdl.handle.net/1959.13/1297886
- Identifier
- uon:19530
- Identifier
- ISBN:9783902823625
- Rights
- © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
- Language
- eng
- Full Text
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