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Invariant Sets for Switched Discrete Time Systems subject to Bounded Disturbances

Author(s):

P. Grieder, S. Rakovic, M. Morari, D. Mayne
Conference/Journal:

vol. AUT04-04
Abstract:

This paper addresses invariant set computation for discrete-time switched systems subject to bounded disturbances. Specifically, we show how to compute the maximal robustly switched invariant set $\Cswitch$, which we define to be the set of states which can be made robustly invariant by an appropriate switching law. Furthermore it is demonstrated how the maximal robustly reachable set $\Kswitch(\Omega)$ can be computed, i.e., all states which can be robustly steered into the target set $\Omega$ by an appropriate switching law. We also show how these sets may be used to obtain a minimum time controller for switched systems, i.e., a controller which robustly steers the state into a given target set in minimal time.

Year:

2004
Type of Publication:

(04)Technical Report
Supervisor:



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% Autogenerated BibTeX entry
@TechReport { GriEtal:2004:IFA_1874,
    author={P. Grieder and S. Rakovic and M. Morari and D. Mayne},
    title={{Invariant Sets for Switched Discrete Time Systems subject
	  to Bounded Disturbances}},
    institution={},
    year={2004},
    number={},
    address={},
    month=jul,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=1874}
}
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