A numerical method for deadbeat control of generalized state-space systems
نویسنده
چکیده
The problem of deadbeat control is now to find a feedback law F that will drive an arbitrary initial state Xo to Xk = 0 after a minimum number of steps k. All subsequent xi (for i > k) are then also zero, which explains the term 'deadbeat'. For standard state-space systems (i.e. E In) this is known to be equivalent to finding a feedback F such that all eigenvalues of A + BF lie at h = O, and A + BF has Jordan chains of minimal length (see [1,6] for alternative definitions). Extending this algebraic definition to generalized state-space systems yields:
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