Unstable systems

Ballistic missile

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 System description

This article is about altitude control of the ballistic missile. From the control theory point of view, the system is unstable with one input and one output. The input manipulated variable is thrust chamber deflection and the output controlled variable is the ballistic missile altitude.

Physical quantities:

- δ [-] thrust chamber deflection

- y [m] altitude

Mathematical model

The transfer function model relating missile altitude (y) to thrust chamber deflection (δ) has two RHP (unstable) poles and a negative zero:


Simulation files

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Information sources

BLAKELOCK, John H. Automatic Control of Aircraft and Missiles. 2 ed. New York: John Wiley, 1991, 676 p. ISBN 04-715-0651-6.

PADMA SREE, R., CHIDAMBARAM, M. Control of Unstable Systems. Oxford: Alpha Science, 2006, 297 p. ISBN 1-84265-287-7. 


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