An Integrated Approach to Plant Optimization and Controller Design

An LMI-based optimization approach for integrated plant/output-feedback controller design

“…In this section, a polytopic uncertain model of the longitudinal dynamics of an F-4 fighter aircraft [2] is used to demonstrate the proposed integrated plant/controller optimization approach. A mission with the following system performance requirements is considered.…”

An optimization approach to integrated aircraft-controller design

“…< = [<1,<zIT := [Z6/Z~"'""', Zs/ZFomina']T denotes the vector of normalized plant parameters. From[2], the effect on the aerodynamic derivatives from changing the size of the elevator can be expressed as follows flight path angle, y = 0a ,…”

“…By equations (29), (33), (34), (31)-(36), the data inTables 1 and 2, and the approach in[2], the transfer function T,,(G, K ) with K = 0 admits the following linearizedrepresentation j.= ( A + < i A i ) s + (Bi + BiiCi)w +(Bz + Bz15i + B z z t 2 )~ (37) z =CIS + DIU (38)4.2 Numerical solution Applying Algorithm 3.4 to the plant-controller optimization problem for F-4 with kl = kz = 4, k3 = 0.05, c = 11, llT, and 6 = 0.001, the optimal values of and are 8.1255e-005 and 0.1622, respectively, where the solution to the GEVP in Step 1 is 0.1683. For this example, Algorithm 3.5 gives the same optimization results.…”