TY - GEN

T1 -
An algorithm for mixed H
2
/H
∞
robust controllers that satisfy variance constraints

AU - Bambang, Riyanto T.

AU - Shimemura, E.

AU - Uchida, Kenko

PY - 1992/1/1

Y1 - 1992/1/1

N2 -
In this paper an iterative procedure is developed for synthesizing mixed H
2
/H
∞
robust controllers that satisfy output variance constraints. In this synthesis problem, we seek control-laws for linear systems that minimize an upperbound on a quadratic performance subject to both H
∞
-norm and output variance constraints under the presence of structured uncertainties. The approach taken in this paper is to convert the problem into an equivalent nonlinear programming with both equality and inequality constraints. Kuhn Tucker optimality condition is employed in order to obtain first order necessary condition for a regular point that minimizes an upperbound on quadratic performance for the given H
∞
-norm and variance constraints. Based on this condition, an iterative algorithm for synthesizing the controllers is developed. To demonstrate the effectiveness of the algorithm, an illustrative example is presented. Dual problem that imposes constraints on input variance, is also discussed.

AB -
In this paper an iterative procedure is developed for synthesizing mixed H
2
/H
∞
robust controllers that satisfy output variance constraints. In this synthesis problem, we seek control-laws for linear systems that minimize an upperbound on a quadratic performance subject to both H
∞
-norm and output variance constraints under the presence of structured uncertainties. The approach taken in this paper is to convert the problem into an equivalent nonlinear programming with both equality and inequality constraints. Kuhn Tucker optimality condition is employed in order to obtain first order necessary condition for a regular point that minimizes an upperbound on quadratic performance for the given H
∞
-norm and variance constraints. Based on this condition, an iterative algorithm for synthesizing the controllers is developed. To demonstrate the effectiveness of the algorithm, an illustrative example is presented. Dual problem that imposes constraints on input variance, is also discussed.

UR - http://www.scopus.com/inward/record.url?scp=84990736685&partnerID=8YFLogxK

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U2 - 10.1109/CCA.1992.269862

DO - 10.1109/CCA.1992.269862

M3 - Conference contribution

AN - SCOPUS:84990736685

T3 - Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992

SP - 281

EP - 286

BT - Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1st IEEE Conference on Control Applications, CCA 1992

Y2 - 12 September 1992 through 16 September 1992

ER -