Pj. Titterton, PRACTICAL MULTI-CONSTRAINT H-INFINITY CONTROLLER SYNTHESIS FROM TIME-DOMAIN DATA, International journal of robust and nonlinear control, 6(5), 1996, pp. 413-430
Citations number
20
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics,"Engineering, Eletrical & Electronic
This paper presents a practical algorithm for MIMO controller design w
ith multiple H-infinity norm constraints. The plant is described by it
s sampled-data impulse response matrix, which could be determined dire
ctly from measurements; the controller design parameters are the tap w
eights of an FIR discretization of the Q (or Youla-) parameter. We app
roximate the H-infinity norm by the maximum transfer matrix 2-norm on
an even frequency sampling over theta = [0, pi]. The control design al
gorithm uses the Newton method to minimize two cost functions sequenti
ally: the first determines multiple H-infinity feasibility, and the se
cond minimizes a generalized entropy. As a design example, we control
the acoustic radiation from a (mathematically modelled) submerged sphe
rical shell. The plant-model impulse response matrix has McMillan degr
ee 8 800. We specify and synthesize a controller that simultaneously a
chieves ten H-infinity constraints: one on the radiation reduction, on
e for stability robustness, and eight on actuator authority.