Towards a Hybrid Symbolic/Numeric Computational Approach in Controller Design
Application of general computer algebra systems like MAPLE V® can prove advantageous over conventional ‘numerical’ simulation approach for controller design. In this paper, an approach for the application of hybrid symbolic/numeric computations to obtain explicit equations leading to the design of an output feedback controller is presented. The methodology for controller design using symbolic algebra is exemplified by considering the design of an excitation controller for a simplified model of the synchronous generator connected to an infinite bus. The output feedback controller is obtained from a symbolic full-state feedback controller by eliminating feedback from unmeasurable states using the free parameters in the symbolic feedback gain expressions. The entire analysis is carried out using the MATLAB® symbolic algebra toolbox that supports MAPLE V®.
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