Design of robust parameter LQ control for systems with different operating conditions

Considers the design problem of finding a structurally constrained regulator with fixed feedback gains to satisfy a performance criterion over a finite number of operating points. The problem represents a class of robust optimal parametric control problems which have been physically well justified. Mathematical formulation of the class of robust control problems is given. A design procedure based on the Broyden-Feletcher-Goldfarb-Shanno (BFGS) optimization method is then proposed as an effective algorithm for determining the robust optimal control gains. Though results are presented for continuous-time systems, extensions to the discrete-time case can also be obtained readily.<>