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In this paper, the adaptive control problem is studied for discrete-time stochastic bilinear systems with correlated noises and unknown parameters. A new adaptive control scheme, which is the ELS-based adaptive tracker of the studied systems, is proposed according to the modified certainty equivalence principle. By using the algorithm, the given bounded reference signal can be tracked by the resulting...
In this paper the modeling and simulation of a class of discrete-time stochastic bilinear systems are studied, the extended least squares (ELS) algorithm are used to estimate unknown parameters of the system, and two simulation examples show that the ELS algorithms of the modeling and simulation are effective for discrete-time stochastic bilinear systems with correlated noises and unknown parameters...
Examining adaptive trackers for a class of the first-order linear continuous-time plants, with different estimators, and the modified certainty equivalence pole-placement control law, we overcome the difficulty of a loss of stabilizability (or controllability) when the estimate of the plant gain is zero and point out a few substantive mistakes of the results from Middleton and Kokotovic's paper (1992)...
This paper presents a new recursive estimate method for orders and coefficients of linear stochastic feedback control systems (CARMA model) under the assumption that the upper bounds of system orders are known. The strong consistency of the estimates for orders and coefficients is proved and the convergence rate of coefficient estimates to their true values is also obtained. The estimate algorithm...
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