Abstract
The pole placement (PP) technique for design of a linear state feedback control system requires specification of all the closed-loop pole locations even though only a few poles dominate the system's transient response characteristics. The linear quadratic regulator (LQR) method, on the other hand, optimizes the system transient response and does not directly impose the location of the dominant poles. This paper presents a new optimal linear quadratic pole placement (LQPP) technique that simultaneously assigns some poles to exact desired dominant locations (partial pole placement) and adjusts the rest of the poles to optimize an LQ performance index (parametric optimization). As a result, a designer can fashion his control design to benefit from the PP and LQ techniques. The paper only addresses the LQPP technique for a single-input full-state feedback control system.
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