A new stability analysis and controller design method for discrete-time linear systems with saturation nonlinearities |
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Authors: | Wei GUAN and Guanghong YANG |
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Affiliation: | 1. School of Automation, Shenyang Aerospace University, Shenyang Liaoning 110136, China 2. College of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China |
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Abstract: | The problems of stability analysis and controllers design for discrete-time linear systems subject to state saturation nonlinearities
are investigated in this paper. Both full state saturation and partial state saturation are considered. It is well known to
all that the controller design problem under state saturation is very difficult and complex to deal with. In order to overcome
the difficulty, a new and tractable system is constructed, and it can be proved that the constructed system is with the same
domain of attraction as the original system. With the aid of this property, to estimate the domain of attraction of the original
system, an LMI-based method is presented for estimating the domain of attraction of the origin for the new constructed system
under state saturation. Further, two optimization algorithms are developed for constructing dynamic output-feedback controllers
and state feedback controllers, respectively, which guarantee that the domain of attraction of the origin for the closed-loop
system is as ‘large’ as possible. An example is provided to demonstrate the effectiveness of the new method. |
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Keywords: | State saturation Linear systems LMIs |
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