Abstract
Trade-offs between stability margin and performance are considered in two- and three-degree-of-freedom multivariable control systems using a Wiener-Hopf design approach. Maximum improvement in an approximate measure of stability margin is achieved at the expense of a prescribed increase in the quadratic cost functional measuring system performance. In order to attain an analytical solution to this fundamental trade-off problem, the approximate measure of stability margin chosen is also a quadratic cost function. A novel approach is introduced which allows structured perturbations in the coprime polynomial matrix fraction description of the plant transfer matrix to be taken into account. As a consequence, it is believed that the use of an approximate measure of stability margin is mitigated. Moreover, if needed, the solution obtained could serve as a very good initial one from which to search for better solutions iteratively.
Original language | English (US) |
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Pages (from-to) | 1337-1366 |
Number of pages | 30 |
Journal | International Journal of Control |
Volume | 68 |
Issue number | 6 |
DOIs | |
State | Published - Jan 1 1997 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications