Qudratic regulatory theory for analytic non-linear systems with additive controls
Automatica (Journal of IFAC)
On a state space approach to nonlinear H∞ control
Systems & Control Letters
Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
H H∞ design in bilinear systems: a tensor formal series approach
Systems & Control Letters
Linear Optimal Control Systems
Linear Optimal Control Systems
Dynamic Programming
Robust H∞ fuzzy control of nonlinear systems with multiple time delays
International Journal of Systems Science
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This paper presents the central finite-dimensional H∞ regulator for nonlinear polynomial systems, that is suboptimal for a given threshold γ with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, the paper reduces the original H∞ control problem to the corresponding optimal H2 control problem, using the technique proposed in [1]. The paper yields the central suboptimal H∞ regulator for nonlinear polynomial systems in a closed finite-dimensional form, based on the optimal H2 regulator obtained in [2]. Numerical simulations are conducted to verify performance of the designed central suboptimal regulator for nonlinear polynomial systems against the central suboptimal H∞ regulator available for the corresponding linearized system.