Abstract
The problem of stabilizing a class of linear uncertain systems by using linear state feedback is addressed. The system possesses uncertainty which is time-varying, unknown, but lies within a prescribed bounded set. No statistical information of the uncertainty is imposed. Nor any matching condition is required. Necessary and sufficient conditions for quadratic stabilizability are formulated. The controller synthesis and stability analysis can be investigated by a two level optimization process. The result is believed to be practical (in the sense that it can be implemented for non-trivial dynamic systems) and non-conservative.
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© 1991 Springer-Verlag
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Chen, Y.H., Chen, J.S. (1991). Robust control of uncertain systems with time-varying uncertainty: A computer-aided setting. In: Skowronski, J.M., Flashner, H., Guttalu, R.S. (eds) Mechanics and Control. Lecture Notes in Control and Information Sciences, vol 151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006718
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DOI: https://doi.org/10.1007/BFb0006718
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