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• W1519932068 abstract "This paper presents a computationally attractive long-time average cost control approach for a class of nonlinear stochastic systems, where the deterministic dynamical part is of polynomial type. Instead of minimizing the time-averaged cost itself, we use its upper bound as the objective function for controller design. As such, under the framework of sum-of-squares-based optimization, the control law and a tunable function similar to the Lyapunov function are optimized simultaneously. The inherent non-convexity of the optimisation is resolved by assuming that the controller takes a small-feedback structure, which actually is a series in a small parameter with all the coefficients being finite-order polynomials of the system state. The effectiveness of the proposed controller is demonstrated by means of simulation of a simple cylinder flow model under persistent perturbation of random noise." @default.
• W1519932068 created "2016-06-24" @default.
• W1519932068 creator A5032642266 @default.
• W1519932068 creator A5036080399 @default.
• W1519932068 date "2015-07-01" @default.
• W1519932068 modified "2023-09-25" @default.
• W1519932068 title "Long-time average cost control of stochastic systems using sum of squares of polynomials" @default.
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• W1519932068 doi "https://doi.org/10.1109/chicc.2015.7260000" @default.
• W1519932068 hasPublicationYear "2015" @default.
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