International Journal of Control, Vol.68, No.6, 1337-1366, 1997
A Wiener-Hopf approach to trade-offs between stability margin and performance in two- and three-degree-of-freedom multivariable control systems
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.
Keywords:MIXED H-2/H-INFINITY CONTROL;LOOP TRANSFER RECOVERY;H-INFINITY CONTROL;CONVEX-OPTIMIZATION;LINEAR-SYSTEMS;DESIGN;STATE;OBJECTIVES;CRITERION;EQUATION