On Robust Stability and Performance With a Fixed-Order Controller Design for Uncertain Systems

Typically, it is desirable to design a control system that not only robustly stable in the presence of parametric uncertainties but also guarantees an adequate level performance. However, most existing methods need take all extreme models over uncertain domain into consideration, which then results costly computation. Also, since these approaches attempt rather unrealistically guarantee performance full frequency range, conservative always admitted. Here, taking specific viewpoint robust stability and under stated restricted range (which applicable many real-world situations), this article provides essential basis for fixed-order controller with bounded uncertainties, avoids tedious necessary evaluations specifications on explicit manner. A Hurwitz polynomial used characterized by notion positive realness, such required condition successfully constructed. criteria terms sensitivity shaping different ranges are constructed based approach realness analysis. Furthermore, conditions expressed framework linear matrix inequality (LMI) constraints, thus can be efficiently solved. Comparative simulations provided demonstrate effectiveness efficiency proposed approach.