IntroductionThe pole placement method is a widely used mathematical tool to design linear con- . The tendency of state derivative feedback control systems to result in singularity in case the original system ceases to be state variable system has been overcome recently by employing traditional state feedback approach which provides a solution to both the threat of singularity and to more general time-varying systems[1]. The inspiration for the approach followed in [1] came from controlled vibration absorbers [12]. Due to the specific nature of such systems, use of state derivative feedback is a natural and powerful way to design controllers for them. The motivation for this paper stems from the possibility of reduced energy consumption of the controller when designed using state derivative feedback for a given level of stability. This would expand the scope and range of possible applications of state derivative feedback and provide a new method for generating more energy efficient control system designs.In [1] the scope has been kept limited to developing the theoretical and mathematical analysis of the state derivative feedback approach. Extending the study, in this paper, the feedback controller is designed for the inverted pendulum[18] using both the traditional full state feedback, which is the Ackermann's formula [8], [9], [13],
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