Design of optimally normal minimum gain controllers by continuation methodA measure of the departure from normality is investigated for system robustness. An attractive feature of the normality index is its simplicity for pole placement designs. To allow a tradeoff between system robustness and control effort, a cost function consisting of the sum of a norm of weighted gain matrix and a normality index is minimized. First- and second-order necessary conditions for the constrained optimization problem are derived and solved by a Newton-Raphson algorithm imbedded into a one-parameter family of neighboring zero problems. The method presented allows the direct computation of optimal gains in terms of robustness and control effort for pole placement problems.
Document ID
19890066620
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Lim, K. B. (NASA Langley Research Center Hampton, VA, United States)
Juang, J.-N. (NASA Langley Research Center Hampton, VA, United States)
Kim, Z. C. (NASA Langley Research Center Hampton, VA, United States)