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Theory and design of high-order bang-bang control systems

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2 Author(s)
Athanassiades, M. ; University of California, Berkley, CA, USA ; Smith, O.J.M.

In this paper the nonlinear equations which describe the switching hypersurface of an N th-order linear time-invariant system, with real negative distinct poles, are developed when the input to the system is restricted in amplitude, either intentionally through the use of a relay or due to saturation of the power element. Based on the equations of the switching hypersurfaces, a design procedure is offered which will result in the optimum transient system response for any initial output or error initial conditions in the absence of an input.

Published in:

Automatic Control, IRE Transactions on  (Volume:6 ,  Issue: 2 )