NDLI: Reachability analysis of discrete-time systems with disturbances

Content Provider	IEEE Xplore Digital Library
Author	Rakovic, S.V. Kerrigan, E.C. Mayne, D.Q. Lygeros, J.
Copyright Year	1963
Abstract	This paper presents new results that allow one to compute the set of states that can be robustly steered in a finite number of steps, via state feedback control, to a given target set. The assumptions that are made in this paper are that the system is discrete-time, nonlinear and time-invariant and subject to mixed constraints on the state and input. A persistent disturbance, dependent on the current state and input, acts on the system. Existing results are not able to address state- and input-dependent disturbances and the results in this paper are, therefore, a generalization of previously published results. One of the key aims of this paper is to present results such that one can perform the relevant set computations using polyhedral algebra and computational geometry software, provided the system is piecewise affine and the constraints are polygonal. Existing methods are only applicable to piecewise affine systems that either have no control inputs or no disturbances, whereas the results in this paper remove this limitation. Some simple examples are also given that show that, even if all the relevant sets are convex and the system is linear, convexity of the set of controllable states cannot be guaranteed.
Sponsorship	IEEE Control Systems Society
Starting Page	546
Ending Page	561
Page Count	16
File Size	836808
File Format	PDF
ISSN	00189286
Volume Number	51
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Reachability analysis Control systems Robust control Safety Acceleration State feedback Algebra Computational geometry Software performance Software systems set invariance Controllability control systems nonlinear systems Piecewise affine systems reachability analysis robustness
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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