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LPV Control of Nonstationary Systems: A Parameter-Dependent Lyapunov Approach

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1 Author(s)
Farhood, M. ; Aerosp. & Ocean Eng. Dept., Virginia Polytech. Inst. & State Univ. (Virginia Tech), Blacksburg, VA, USA

The paper presents a parameter-dependent Lyapunov approach for the control of nonstationary linear-parameter varying systems. The work is motivated by the challenges encountered in controlling nonlinear systems about pre-specified aggressive trajectories, specifically ones which eventually settle into periodic orbits. The control design method uses the l2-induced norm performance measure, and the analysis and synthesis results are given in terms of parameterized linear matrix inequalities. Two fast and easy-to-implement algorithms for online controller construction are also provided.

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Automatic Control, IEEE Transactions on  (Volume:57 ,  Issue: 1 )