Eigenstructure assignment for linear parameter-varying systems with applications |
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Authors: | Guangbin Cai Changhua Hu Guangren Duan |
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Affiliation: | 1. Unit 302, Xi’an Research Institute of High-Tech, Xi’an, Shaanxi 710025, China;2. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China |
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Abstract: | The aim of this paper is to show that a recently proposed technique for eigenstructure assignment of linear time-invariant systems can be extended to solve the corresponding eigenstructure assignment problem for linear parameter-varying systems, whose state-space matrices depend on a set of time-varying parameters that are bounded and available online. In particular, the design of eigenstructure assignment is performed without requiring any conditions on the closed-loop eigenvalues, and provides a simple, complete and analytical parametric approach as well as the most degrees of design freedom for the eigenstructure assignment problem of linear parameter-varying systems. A parameter-varying attitude control system of refueling spacecraft in-orbit is used to demonstrate the usefulness and practicality of the proposed approach. |
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