Abstract
Almost all existing observers in state space (modern) control theory are required to estimate system state x(t) and are called state observers (SO). The SO realizes a state feedback (SF) control Kx(t) for an arbitrary K, and therefore implies that SO and SF are separately designed. The critical drawback of SO is that it cannot realize the robustness property of SF control for most of systems. Based on the notion that an SO is unnecessary in the realization of SF if K is not separately designed, and based on a new solution to a fundamental matrix equation, this paper presents a simple, general, and fundamentally novel design approach whose SF control is systematically designed based on its implementing controller. This new design can realize, in most of cases, the robustness property of its SF control.
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