Input-out-ut approximate linearisation of a non-linear fourth o rder system has been studied. A method for controlling the non-linear system that is i/o linearisable is examined that reatins the order of the s ystem in the linearisation process, hence producing a linearised system with no internal oz zero dynamics. Desired tracking performance for lateral acceleration of the missile is acieved by using a non-linear control law that has been derived by selecting the lateral velocity as the linearisation output. Simulation results are shown that exercise the final design and show that the linearisation and controller design are satisfactory.
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