This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov function candidate, which has been proven to significantly reduce the conservatism level, although at the cost of increasing the number of LMIs. Two numerical examples illustrate the main result.
Castelan, E., Leite, V., Miranda, M. and Moraes, V. (2010). Synthesis of output feedback controllers for a class of nonlinear parameter-varying discrete-time systems subject to actuator limitations, Proceedings of the American Control Conference, ACC 2010, Baltimore, MD, USA, pp. 4235-4240.
Castelan, E., Moreno, U. and de Pieri, E. (2006). Absolute stabilisation of discrete-time systems with sector bounded nonlinearity under control saturations, IEEE International Symposium on Circuits and Systems, ISCAS 2006, Island of Kos, Greece, pp. 3105-3108.
Domański, P., Brdyś, M.A. and Tatjewski, P. (1999). Design and stability of fuzzy logic multi-regional output controllers, International Journal of Applied Mathematics and Computer Science 9(4): 883-897.
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