State Feedback Robust H_∞ Control for Generalized Discrete System and Simulation

Abstract:

For a class of uncertain generalized discrete linear system with norm-bounded parameter uncertainties, the state feedback robust control problem is studied. One sufficient condition for the solvability of the problem and the state feedback robust controller are obtained in terms of linear matrix inequalities. The designed controller guarantees that the closed-loop systems is regular, causal, stable and satisfies a prescribed norm bounded constraint for all admissible uncertain parameters under some conditions. The result of the normal discrete system can be regarded as a particular form of our conclusion. A simulation example is given to demonstrate the effectiveness of the proposed method.

• Periodical: Applied Mechanics and Materials (Volume 467)
• Pages: 621-626
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.467.621
• Online since: December 2013
• Authors: Chen Fang, Jiang Hong Shi, Kun Yu Li, Zheng Wang
• Keywords: Generalized Discrete System, Robust Control, State Feedback

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