Abstract
In this paper duality theory is employed to show that the problem of minimizing a given linear combination of the l1 norm, the square of the H2 norm, and the l∞ norm of the closed loop over all stabilizing controllers is equivalent to a finite dimensional convex optimization problem. It is shown that the dimension can be determined a priori. Relation to Pareto optimality is established and the continuity of the optimal solution with respect to changes in the coefficients of the linear combination is proven. The problem is studied for a single input single output, discrete time, linear time invariant system.
Original language | English (US) |
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Title of host publication | ASME Dynamic Systems and Control Division |
Publisher | ASME |
Pages | 297-305 |
Number of pages | 9 |
Volume | 57-1 |
State | Published - Dec 1 1995 |
Event | Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition - San Francisco, CA, USA Duration: Nov 12 1995 → Nov 17 1995 |
Other
Other | Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition |
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City | San Francisco, CA, USA |
Period | 11/12/95 → 11/17/95 |