This paper provides some sufficient conditions for the stabilization of nonlinear quadratic systems via output feedback. The main contribution consists of a design procedure which enables to find a dynamic output feedback controller guaranteeing for the closed-loop system: i) the local asymptotic stability of the zero equilibrium point; ii) the inclusion of a given polytopic region into the domain of attraction of the zero equilibrium point. This design procedure is formulated in terms of a Linear Matrix Inequalities (LMIs) feasibility problem, which can be efficiently solved via available optimization algorithms. The effectiveness of the proposed methodology is shown through a numerical example.
Output feedback control of nonlinear quadratic systems / Amato, F.; Ariola, M.; Cosentino, C.; Merola, A.. - (2010), pp. 3349-3354. (Intervento presentato al convegno 2010 49th IEEE Conference on Decision and Control, CDC 2010 tenutosi a Atlanta, GA, USA nel 15-17 dicembre 2010) [10.1109/CDC.2010.5717461].
Output feedback control of nonlinear quadratic systems
Amato, F.;
2010
Abstract
This paper provides some sufficient conditions for the stabilization of nonlinear quadratic systems via output feedback. The main contribution consists of a design procedure which enables to find a dynamic output feedback controller guaranteeing for the closed-loop system: i) the local asymptotic stability of the zero equilibrium point; ii) the inclusion of a given polytopic region into the domain of attraction of the zero equilibrium point. This design procedure is formulated in terms of a Linear Matrix Inequalities (LMIs) feasibility problem, which can be efficiently solved via available optimization algorithms. The effectiveness of the proposed methodology is shown through a numerical example.File | Dimensione | Formato | |
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