A new fast algorithm for linear quadratic (LQ) control optimization is derived using a partial state formulation and is exploited for the synthesis of long-range predictive controllers. The new algorithm requires O(Nn) computations for an nth-order plant and N-step prediction horizon and is about twice as cheap as existing fast algorithms. Systolic implementation on arrays of O(n) processors is also considered to get an O(N) processing time. Both fast algorithms and systolic implementation can be used to considerably speed up the control design task in adaptive predictive control schemes and thus increase the adaptation bandwidth.
L., C., Garulli, A., G., Z. (1997). Fast parallel LQ regulator design for adaptive control. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 11(5), 395-413 [10.1002/(SICI)1099-1115(199708)11:5<395].
Fast parallel LQ regulator design for adaptive control
GARULLI, ANDREA;
1997-01-01
Abstract
A new fast algorithm for linear quadratic (LQ) control optimization is derived using a partial state formulation and is exploited for the synthesis of long-range predictive controllers. The new algorithm requires O(Nn) computations for an nth-order plant and N-step prediction horizon and is about twice as cheap as existing fast algorithms. Systolic implementation on arrays of O(n) processors is also considered to get an O(N) processing time. Both fast algorithms and systolic implementation can be used to considerably speed up the control design task in adaptive predictive control schemes and thus increase the adaptation bandwidth.
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https://hdl.handle.net/11365/30204
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