Quantitative performance robustness linear quadratic optimal system design

Abstract

The synthesis methodology of quantitative performance robustness linear quadratic optimal control is developed. Wiener-Hopf linear quadratic optimal control and quantitative feedback theory are applied to achieve the quantitative performance robustness optimal control design. Since the internal stability is satisfied, this design method performs appropriately for any stable or unstable, minimum- or nonminimum-phase system. This is the generalized result of some previous work. Two frequency-dependent weighting functions are shaped and two-degree-of-freedom compensators are designed to achieve the robust optimal control in the presence of plant uncertainty. Moreover, for the minimum-phase plant, by appropriately factorizing the two-degree-of-freedom compensators, the feedback loop can be designed to satisfy the return difference equality. The F-4E flight control system is considered as the design example to illustrate the design algorithm.