Qudratic regulatory theory for analytic non-linear systems with additive controls
Automatica (Journal of IFAC)
Linear Optimal Control Systems
Linear Optimal Control Systems
Perturbation analysis of fuzzy linear systems
Information Sciences: an International Journal
Information Sciences: an International Journal
Networked H∞ filtering for linear discrete-time systems
Information Sciences: an International Journal
Robust switching-type H∞ filter design for linear uncertain systems with time-varying delay
Information Sciences: an International Journal
Information Sciences: an International Journal
New results on H∞ filtering for fuzzy systems with interval time-varying delays
Information Sciences: an International Journal
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This paper presents the mean-square optimal data-based quadratic-Gaussian controller for stochastic nonlinear polynomial systems with a polynomial multiplicative noise, a linear control input, and a quadratic criterion over linear observations. The mean-square optimal closed-form controller equations are obtained using the separation principle, whose applicability to the considered problem is substantiated. As an intermediate result, the paper gives a closed-form solution of the optimal regulator (control) problem for stochastic nonlinear polynomial systems with a polynomial multiplicative noise, a linear control input, and a quadratic criterion. Performance of the obtained mean-square optimal data-based controller is verified in the illustrative example against the conventional LQG controller that is optimal for linearized systems. Simulation graphs demonstrating overall performance and computational accuracy of the designed optimal controller are included.