TY - GEN
T1 - Multi-objecitve control of dynamical systems
AU - Voulgaris, Petros
N1 - Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1995
Y1 - 1995
N2 - In this paper we consider the problem of minimizing the Hs-norm of the closed loop map while maintaining its £1-norm at a prescribed level. The problem is analyzed in the case of discrete-time, SISO closed loop maps. Utilizing duality theory, it is shown that the optimal solution is unique and has a finite impulse response. A finite step procedure is given for the construction of the exact solution. This procedure consists of solving a finite number of quadratic programming problems which can be performed using standard methods. Finally, continuity properties of the optimal solution with respect to changes in the £1-constraint are established.
AB - In this paper we consider the problem of minimizing the Hs-norm of the closed loop map while maintaining its £1-norm at a prescribed level. The problem is analyzed in the case of discrete-time, SISO closed loop maps. Utilizing duality theory, it is shown that the optimal solution is unique and has a finite impulse response. A finite step procedure is given for the construction of the exact solution. This procedure consists of solving a finite number of quadratic programming problems which can be performed using standard methods. Finally, continuity properties of the optimal solution with respect to changes in the £1-constraint are established.
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U2 - 10.115/DETC-1995-0345
DO - 10.115/DETC-1995-0345
M3 - Conference contribution
AN - SCOPUS:85103470553
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 993
EP - 998
BT - 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Y2 - 17 September 1995 through 20 September 1995
ER -