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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/919018
- Componentwise ultimate bound computation for switched linear systems
Seron, María M.
- The University of Newcastle. Faculty of Engineering & Built Environment, School of Electrical Engineering and Computer Science
- We present a novel ultimate bound computation method for switched linear systems with disturbances and arbitrary switching. We consider both discrete-time and continuous-time systems. The proposed method relies on the existence of a transformation that takes all matrices of the switched linear system into a convenient form satisfying certain properties. The method provides ultimate bounds in the form of polyhedral sets and/or mixed ellipsoidal/polyhedral sets, and it is completely systematic once the aforementioned transformation is obtained. We show that the transformation can be found in the well-known case where the matrices of the switched linear system generate a solvable Lie algebra. In the latter case, our results also constitute a new sufficient condition for practical stability. An example comparing the bounds obtained by the proposed ultimate bound computation method with those obtained from a common quadratic Lyapunov function computed via linear matrix inequalities shows a clear advantage of the proposed method in some cases.
- 48th IEEE Conference on Decision and Control, 2009 held jointly with the 28th Chinese Control Conference, 2009 (CDC/CCC 2009). Proceedings of the 48th IEEE Conference on Decision and Control 2009, held jointly with the 28th Chinese Control Conference 2009, CDC/CCC 2009 (Shanghai, China 15-18 December, 2009) p. 2150-2155
- Publisher Link
- Institute of Electrical and Electronics Engineers (IEEE)
switched linear systems;
componentwise ultimate bounds;
linear matrix inequalities
- Resource Type
- conference paper
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