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Reachability analysis of linear dynamic systems with constant, arbitrary, and Lipschitz continuous inputs

Journal Article · · Automatica
 [1];  [2]
  1. National Renewable Energy Lab. (NREL), Golden, CO (United States)
  2. Purdue Univ., West Lafayette, IN (United States)
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This paper sets forth a method for reachability analysis of linear dynamic systems in continuous time that can be used to compute time-domain bounds of states and outputs with floating-point precision. The focus is on the particular initial conditions and inputs that cause state or output trajectories to attain their extreme values in time. Inputs can be constant, arbitrary, or Lipschitz continuous waveforms. Uncertainties in initial conditions and inputs are modeled using zonotopes. The calculations exploit the definition of zonotopes and the modal information of the linear system dynamics.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE
Grant/Contract Number:
AC36-08GO28308
OSTI ID:
1505933
Report Number(s):
NREL/JA--5D00-70344
Journal Information:
Automatica, Journal Name: Automatica Journal Issue: C Vol. 95; ISSN 0005-1098
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

Figures / Tables (12)

Fig. 1(p. 2)figure Fig. 1
Fig. 2(p. 3)figure Fig. 2
Fig. 3(p. 6)figure Fig. 3
Fig. 4(p. 8)figure Fig. 4
Fig. 5(p. 8)figure Fig. 5
Algorithm 1(p. 9)figure Algorithm 1
Algorithm 2(p. 10)figure Algorithm 2
Fig. 6(p. 11)figure Fig. 6
Fig. 7(p. 12)figure Fig. 7
Fig. 8(p. 13)figure Fig. 8
Fig. 9(p. 13)figure Fig. 9
Fig. 10(p. 15)figure Fig. 10

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