1. Linear quadratic output tracking and disturbance rejection.
- Author
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Karimi-Ghartemani, Masoud, Khajehoddin, S. Ali, Jain, Praveen, and Bakhshai, Alireza
- Subjects
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H2 control , *PERFORMANCE evaluation , *SIMULATION methods & models , *CONTROL theory (Engineering) , *LINEAR control systems , *STATE-space methods , *NUMERICAL solutions to equations , *QUADRATIC equations - Abstract
This article introduces the problem of linear quadratic tracking (LQT) where the objective is to design a closed-loop control scheme such that the output signal of the system optimally tracks a given reference signal and rejects a given disturbance. Different performance indices that have been used to address the tracking problem are discussed and an appropriate new form is introduced. It is shown that a solution to the proposed optimality index exists under very mild conditions of stabilisability and detectability of the plant state-space equations. The solution is formulated based on converting the LQT problem to a standard linear quadratic regulation problem. The method is applied to two examples, a first-order plant and a third-order plant, and their simulation results are presented and discussed. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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