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Performance improvement of robust controllers for polynomially uncertain systems
- Source :
-
Automatica . Jan2010, Vol. 46 Issue 1, p110-115. 6p. - Publication Year :
- 2010
-
Abstract
- Abstract: This paper is concerned with the high-performance robust control of discrete-time linear time-invariant (LTI) systems with semi-algebraic uncertainty regions. It is assumed that a robustly stabilizing static controller is given whose gain depends polynomially on the uncertain variables. The problem of tuning this parameter-dependent gain with respect to a prescribed quadratic cost function is formulated as a sum-of-squares (SOS) optimization. This method leads to a near-optimal controller whose performance is better than that of the initial controller. It is shown that the results derived in the present work encompass the ones obtained in a recent paper. The efficacy of the results is elucidated by an example. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00051098
- Volume :
- 46
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 47464324
- Full Text :
- https://doi.org/10.1016/j.automatica.2009.10.007