论文信息 - An evaluation of super-optimality as a control tool: a relative stability perspective

An evaluation of super-optimality as a control tool: a relative stability perspective

Super-optimality has been shown to maximize robust stability margins for a special class of systems but not for the general case. Notwithstanding the mathematical elegance of the approach therefore, it is not clear whether super-optimality generally affords practical advantages to the control engineer. The present paper investigates this issue from a relative stability perspective and shows by numerical example that one can achieve better results by selecting non-super-optimal controllers. The example quoted is in no way special and a procedure for generating others is given.

Basil Kouvaritakis | M. Crews | B. Kouvaritakis | M. Crews

[1] G. Zames,et al. Feedback, minimax sensitivity, and optimal robustness , 1983 .

[2] G. Zames. Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses , 1981 .

[3] Ian Postlethwaite,et al. An algorithm for super-optimal H∞ design: The two-block case , 1989, Autom..

[4] Keith Glover,et al. State-space algorithm for the computation of superoptimal matrix interpolating functions , 1989 .

[5] P. Nyman. The equalizer principle of Hl optimal control and its application to super-optimization , 1991 .

[6] Ian Postlethwaite,et al. A state-space approach to super-optimal H/sup infinity / control problems , 1988 .

[7] John Doyle,et al. Mixed H2 and H∞ control , 1990, 1990 American Control Conference.

[8] K. Glover. All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[9] Characterization and use of the degrees of freedom in the H ∞ problem , 1993 .

[10] Keith Glover,et al. Robust control design using normal-ized coprime factor plant descriptions , 1989 .