Abstract
This paper presents a general analysis of robust pole clustering in a sector region for uncertain H 2 optimal linear quadratic regulator (LQR) control systems. Control system poles located in a sector region of the left half-plane provide a good performance, such as the transient behavior, overshoot, damping ratio and so on, for control systems. The general Lyapunov theory and Rayleigh principle along the norm theory are applied to analyze robust pole clustering. The H 2 optimal state feedback LQR control systems are considered. The concerned uncertainties are both unstructured and structured uncertainties, including interval matrices. The preservation of H 2 optimality of the LQR in face of uncertainties is discussed. The results are useful for analysis and design of robust control combining robust stability and robust performance.
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