Optimal control for partially observed nonlinear deterministic systems with fuzzy parameters

Authors:
T. E. Dabbous;M. S. Bayoumi
Affiliations:
Department of Electrical and Computer Engineering, Higher Technological Institute, Ramadan 10th City, Egypt;Department of Electrical and Computer Engineering, Higher Technological Institute, Ramadan 10th City, Egypt
Venue:
Dynamics and Control
Year:
2001

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Abstract

In this paper we consider the control problem for a class of partially observed deterministic systems governed by nonlinear differential equations with fuzzy parameters. Using Takagi-Sugeno fuzzy model, we propose a linear (fuzzy) controller, driven by the output process, for controlling the system. Further, using calculus of variations, we have developed a set of necessary conditions on the basis of which optimal control can be determined. Based on these necessary conditions we have proposed a numerical algorithm for computing optimal control along with some numerical simulations to illustrate the effectiveness of the proposed (fuzzy) control scheme.