Time maximum disturbance design for stable linear systems: a model predictive scheme

It is known that the most stressful bounded (time maximum) disturbance for stabilized linear systems is of bang-bang type. This bang-bang disturbance can often be implemented with a switch set of current states for second-order systems. The isochrones, as the level sets, determine the value of the d...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2001-08, Vol.46 (8), p.1327-1332
Main Authors: You, K.H., Lee, E.B.
Format: Article
Language:English
Subjects:
Computer simulation
Construction
Design engineering
Disturbances
Equations
Filtering theory
Kalman filters
Linear systems
Mathematical models
Predictive models
State estimation
State-space methods
Stochastic processes
Switches
Wave fronts
Wiener filter
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Summary:It is known that the most stressful bounded (time maximum) disturbance for stabilized linear systems is of bang-bang type. This bang-bang disturbance can often be implemented with a switch set of current states for second-order systems. The isochrones, as the level sets, determine the value of the disturbance index in a state space setting. We suggest an efficient way to construct the time maximum disturbance from the information of the isochronal wave front using it in a model predictive scheme. This overcomes the shortcomings of the original switch set which are constructed through time backward computation and only available for first and second-order systems. Simulation results show how the isochrones evolve and can be utilized in synthesizing the time maximum disturbance for linear systems of second and then higher order. For third-order systems, the associated L/sub /spl infin//-gain of the time maximizing disturbance is found.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.940945