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| Received:April 16, 2004Revised:May 26, 2005 |
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| Unified parametric approaches for high-order integral observer design for matrix second-order linear systems |
| Guangren DUAN, Yunli WU |
| (Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China; Beijing Institute of Control and Engineering, Beijing 100080, China) |
| Abstract: |
| A type of high-order integral observers for matrix second-order linear systems is proposed on the basis of generalized eigenstructure assignment via unified parametric approaches. Through establishing two general parametric solutions to this type of generalized matrix second-order Sylvester matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass-dashpot system is utilized to illustrate the design procedure and show the effect of the proposed approach. |
| Key words: Matrix second-order linear systems High-order integral observer Generalized eigenstructure assignment Singular value decomposition Right factorization |
