Controller design to optimize a composite performance measure

M. V. Salapaka; P. G. Voulgaris; M. Dahleh

Controller design to optimize a composite performance measure

M. V. Salapaka, P. G. Voulgaris, M. Dahleh

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

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Abstract

This paper studies a 'mixed' objective problem of minimizing a composite measure of the l₁, H₂, and l_∞ norms together with the l_∞ norm of the step response of the closed loop. This performance index can be used to generate Pareto optimal solutions with respect to the individual measures. The problem is analysed for the discrete time, single-input single-output (SISO), linear time invariant systems. It is shown via the Lagrange duality theory that the problem can be reduced to a convex optimization problem with a priori known dimension. In addition, continuity of the unique optimal solution with respect to changes in the coefficients of the linear combination is established.

Original language	English (US)
Pages (from-to)	817-822
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
State	Published - Dec 1 1995
Event	Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: Dec 13 1995 → Dec 15 1995

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AU - Voulgaris, P. G.

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N2 - This paper studies a 'mixed' objective problem of minimizing a composite measure of the l1, H2, and l∞ norms together with the l∞ norm of the step response of the closed loop. This performance index can be used to generate Pareto optimal solutions with respect to the individual measures. The problem is analysed for the discrete time, single-input single-output (SISO), linear time invariant systems. It is shown via the Lagrange duality theory that the problem can be reduced to a convex optimization problem with a priori known dimension. In addition, continuity of the unique optimal solution with respect to changes in the coefficients of the linear combination is established.

AB - This paper studies a 'mixed' objective problem of minimizing a composite measure of the l1, H2, and l∞ norms together with the l∞ norm of the step response of the closed loop. This performance index can be used to generate Pareto optimal solutions with respect to the individual measures. The problem is analysed for the discrete time, single-input single-output (SISO), linear time invariant systems. It is shown via the Lagrange duality theory that the problem can be reduced to a convex optimization problem with a priori known dimension. In addition, continuity of the unique optimal solution with respect to changes in the coefficients of the linear combination is established.

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M3 - Conference article

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T2 - Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4)

Y2 - 13 December 1995 through 15 December 1995

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Controller design to optimize a composite performance measure

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