Portal de Periódicos da CAPES

Robust control systems design using H-infinity optimization theory

1992; American Institute of Aeronautics and Astronautics; Volume: 15; Issue: 4 Linguagem: Inglês

10.2514/3.20928

1533-3884

X. P. Li, B.C. Chang, S.S. Banda, Hsi-Han Yeh,

Numerical methods for differential equations

In this paper, we show step-by-step procedures for applying the H°° theory to robust control systems design. The objective of the paper is to eliminate the possible difficulties a control engineer may encounter in applying H°° control theory. We will review the physical meanings of the H°° norm, explain how it relates to robustness issues, and show how to formulate H°° optimization problems, including the construction of a state-space realization of the generalized plant. An efficient algorithm is used to compute the optimal H°° norm. The controller formulas of Glover and Doyle are slightly modified and are used to construct an optimal controller without any numerical difficulty.