Applications of ℓ\u3csub\u3e1\u3c/sub\u3e and Mixed H\u3csub\u3e2\u3c/sub\u3e/ℓ\u3csub\u3e1\u3c/sub\u3e Optimization

This thesis explores the use of ℓ1 and mixed H2/ℓ1 optimization methods to design flight control systems. ℓ1 optimization is used to handle tracking issues in the design of digital compensators. Control deflection and rate limitations, overshoot and undershoot limitations and steady-state error requirements are discussed. Model-matching techniques which produce acceptable tracking results with lower order controllers are also examined. New numerical methods for continuous H2/L1 and discrete H2/ℓ1 optimization are presented. These methods are used to design an aircraft controller in continuous and discrete time and the results are compared