Multiobjective L/sub 1//H/sub /spl infin// controller design for systems with frequency and time domain constraints

Abstract

We develop an optimal mixed-norm L/sub 1/ bound/H/sub /spl infin// controller synthesis framework for continuous-time linear systems. This multiobjective problem is treated by forming a convex combination of both L/sub 1/ (time domain worst-case peak amplitude response) and entropy (frequency domain worst-case H/sub /spl infin// disturbance attenuation) performance measures. For flexibility in controller synthesis, we adopt the approach of fixed-structure controller design which allows consideration of arbitrary controller structures, including order, internal structure, and decentralization. Finally, using a quasi-Newton continuation algorithm, we demonstrate the effectiveness of the proposed mixed-norm L/sub 1//H/sub /spl infin// approach via a numerical design example.