Analysis and Control of a Class of Uncertain Linear Periodic Discrete-Time Systems

SUN Kai; XIE Guang-ming

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SUN Kai, XIE Guang-ming. Analysis and Control of a Class of Uncertain Linear Periodic Discrete-Time Systems[J]. Applied Mathematics and Mechanics, 2009, 30(4): 443-456.

Citation:

SUN Kai, XIE Guang-ming. Analysis and Control of a Class of Uncertain Linear Periodic Discrete-Time Systems[J]. Applied Mathematics and Mechanics, 2009, 30(4): 443-456.

Citation:

SUN Kai, XIE Guang-ming. Analysis and Control of a Class of Uncertain Linear Periodic Discrete-Time Systems[J]. Applied Mathematics and Mechanics, 2009, 30(4): 443-456.

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Analysis and Control of a Class of Uncertain Linear Periodic Discrete-Time Systems

SUN Kai¹,
XIE Guang-ming^1,2

1.
LTCS, Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, P. R. China;

Received Date: 2008-06-05
Rev Recd Date: 2009-01-03
Publish Date: 2009-04-15

Abstract

Abstract

Feedback control problems for linear periodic systems (LPSs) with interva-l type parameter uncertainties are studied in the discrete-time domain.First,the stability analysis and stabilization problems were addressed.Conditions based on linear matrices inequality for asymptotical stability and state feedback stabilization respectively were given.Problems of B2-gain analysis and control synthesis problems were studied.For the B2-gain analysis problem,an LMI-based condition was obtained such that the autonomous uncertain LPS is asymptotically stable and has an B2-gain smaller than a positive scalar gamma.For the control synthesis problem,an LM-Ibased condition was derived to build a state feedback controller ensuring the closed-loop system is asymptotically stable and has an B2-gain smaller than a positive scalar gamma.All the conditions are necessary and sufficient.
- linear periodic system,
- parameter uncertainty,
- robust stability,
- linear matrix inequality (LMI),
- state feedback,
- stabilization,
- B2-gain

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References(15)

References

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