Qudratic regulatory theory for analytic non-linear systems with additive controls
Automatica (Journal of IFAC)
Linear Optimal Control Systems
Linear Optimal Control Systems
Dynamic Programming
Sliding mode identification and control for linear uncertain stochastic systems
International Journal of Systems Science - Advances in Sliding Mode Observation and Estimation (Part Two)
New approach to mixed H2/H∞ filtering for polytopic discrete-time systems
IEEE Transactions on Signal Processing - Part II
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This paper presents the optimal quadratic-Gaussian controller for uncertain stochastic polynomial systems with unknown coefficients and matched deterministic disturbances over linear observations and a quadratic criterion. As intermediate results, the paper gives closed-form solutions of the optimal regulator, controller, and identifier problems for stochastic polynomial systems with linear control input and a quadratic criterion. The original problem for uncertain stochastic polynomial systems with matched deterministic disturbances is solved using the integral sliding mode algorithm.