## Development of homotopy algorithms for fixed-order mixed H2/H [infinity] controller synthesisNational Aeronautics and Space Administration, Marshall Space Flight Center, 1994 - H [infinity symbol] control - 29 pages |

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approach augmented system ax ax ax closed-loop system compensator in controller Computation of Hessian conjugate gradient method continuous homotopy algorithm Continuous methods control theory controller canonical form controller synthesis convergence Davidenko's differential equation defined deformation derivative Development of Homotopy differential game differentiating equations 57 disk efficient computation employed equations 39 fixed-order controllers FIXED-ORDER MIXED full-authority full-order compensator function with respect given by equations GJ/L H^IH H2 homotopy HAO algorithms HAO code homotopy function homotopy is performed homotopy methods homotopy parameter homotopy path implementation infinity norm initial and final Lagrangian low-authority Lyapunov equations Marshall Space Flight minimum step mixed H2IH mixed HilH model reduction necessary conditions equations Newton's method number of free obtained by differentiating optimal controller overbound Plant with uncertain prediction problem formulation reduced reduced-order compensators reduction techniques reference 11 Riccati equations robustness solve Space Flight Center stability static gain synthesize system matrices transfer function uncertain stiffness uncertainty