Discrete pulse orthogonal functions for the analysis,parameter estimation and optimal control of linear time-varying digital systems |
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Authors: | ING-RONG HORNG SHINN-JANG HO |
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Affiliation: | Institute of Mechanical Engineering, National Sun Yat-Sen University , Kaohsiung, Taiwan, Republic of China |
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Abstract: | The analysis, parameter estimation and optimal control of linear time-varying digital systems are facilitated in this study. The discrete pulse orthogonal functions (DPOFs) and their operational matrices are taken as a sharp tool. The applications of DPOFs to digital control systems are analogous to those of the known block pulse functions (BPFs) in continuous systems. By applying the DPOFs, approximate solutions of digital time-varying systems can easily be obtained by convenient algorithms. Three examples are illustrated to demonstrate the proposed DPOF technique, and the approximate results are very accurate and satisfactory. |
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