Synthesis of 165-1165-1165-1-optimal linear feedback systems

TheH ^∞-optimization approach to feedback system design was introduced in the context of sensitivity minimization. This problem formulation yielded improper optimal controllers and did not incorporate design issues related to robustness and plant input cost. A more realistic problem formulation incorporating a weighting on the plant input was suggested earlier by the author and is pursued further in this paper. The optimization problem which results from this problem formulation is of mixed-sensitivity minimization and is solved by using tools from interpolation and approximation theory. This synthesis approach is believed to be of considerable promise for the design of linear feedback systems.