Identification and stochastic adaptive control
Identification and stochastic adaptive control
Bounded Dynamic Stochastic Systems: Modelling and Control
Bounded Dynamic Stochastic Systems: Modelling and Control
Automatica (Journal of IFAC)
International Journal of Systems Science
Approximate Controllability of Infinite Dimensional Systems of the n-th Order
International Journal of Applied Mathematics and Computer Science - Special Section: Selected Topics in Biological Cybernetics, Special Editors: Andrzej Kasiński and Filip Ponulak
Probability density function estimation using the MinMax measure
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
PID controller design for output PDFs of stochastic systems using linear matrix inequalities
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Brief On the design of multivariable PID controllers via LMI approach
Automatica (Journal of IFAC)
Brief Filtering on nonlinear time-delay stochastic systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
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This article presents a new proportional-integral (PI) tracking control strategy for non-Gaussian stochastic systems based on a square root B-spline model for the output probability density functions (PDFs). Following the square root B-spline approximation to the measured output PDF, a non-linear discrete-time dynamical model can be established between the control input and the weights related to the PDFs. It is noted that the PDF tracking is transformed to a constrained dynamical tracking control problem for weight dynamics. For the non-linear discrete-time weight model including time-delay terms and exogenous disturbances, convex linear matrix inequality optimisation algorithms are used to design a generalised PI controller such that stabilisation, state constraint and tracking performance can be guaranteed simultaneously. Furthermore, in order to enhance the robustness, the peak-to-peak measure index is applied to optimise the tracking performance. Simulations are given to demonstrate the efficiency of the proposed approach.