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

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2 Author(s)
K. H. You ; Dept. of Electr. & Comput. Eng., Sung Kyun Kwan Univ., Suwon, South Korea ; E. B. Lee

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-gain of the time maximizing disturbance is found

Published in:

IEEE Transactions on Automatic Control  (Volume:46 ,  Issue: 8 )