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Self-tuning control of bilinear systems. (English) Zbl 0623.93043
The authors present a self-tuning pole-placement for a class of single- input single-output bilinear systems. In order to implement a suboptimal pole-placement control strategy, they propose a time-step quasi- linearization procedure within ane extended state-space framework, recursively updated.
A two-tier algorithm, involving the use of both variable forgetting factor reset and covariance reset is proposed. The reset procedure is repeatedly initiated, whenever a fault condition, indicative of large modelling errors, is identified. This leads to an increased alertness and adaptivity of the algorithm.
Simulation studies suggest an improved performance, in terms of both system stability and parameter tracking ability.
Reviewer: D. Cusmir

MSC:
93C40 Adaptive control/observation systems
93B55 Pole and zero placement problems
93C10 Nonlinear systems in control theory
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
93C55 Discrete-time control/observation systems
93E25 Computational methods in stochastic control (MSC2010)
65C99 Probabilistic methods, stochastic differential equations
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References:
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