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A single-degree-of-freedom polynomial solution to the optimal feedback/feedforward stochastic tracking problem. (English) Zbl 0644.93068
A single-input, single-output system model in polynomial representation with both measurable and unmeasurable disturbances is considered. It is assumed that the measurements of the output are corrupted by correlated noise signals. The problem of optimally tracking a reference system is solved by minimizing a quadratic performance index with frequency dependent weights subject to the stochastic system constraint. The resulting compensation scheme involves a series compensator to process the observed tracking error and a feedforward compensator for suppression of measurable disturbances.
Reviewer: E.Yaz
93E20 Optimal stochastic control
93B50 Synthesis problems
93C55 Discrete-time control/observation systems
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[1] B. A. Francis, W. M. Wonham: The internal model principle of control theory. Automatica 12 (1976), 457-465. · Zbl 0344.93028
[2] P. J. Gawthrop: Developments in Optimal and Self-tuning Control Theory. D. Phil. thesis, Oxford University 1978.
[3] M. J. Grimble: Controllers for LQG self-tuning applications with coloured measurement noise and dynamic costing. Proc. IEE 133 Pt. D (1986), 19-29. · Zbl 0592.93036
[4] K. J. Hunt: Stochastic Optimal Control Theory with Application in Self-Tuning Control. Ph. D. thesis, Strathclyde University, Glasgow 1987.
[5] V. Kučera: Discrete Linear Control – The Polynomial Equation Approach. Wiley, Chichester 1979.
[6] V. Kučera, M. Šebek: A polynomial solution to regulation and tracking – Part 2: stochastic problem. Kybernetika 20 (1984), 4, 257-282. · Zbl 0554.93075
[7] A. G. J. MacFarlane, N. Karcanias: Poles and zeros of multivariable systems: A survey of the algebraic, geometric and complex variable theory. Internat. J. Control 24 (1976), 33-74. · Zbl 0374.93014
[8] M. Šebek K. J. Hunt, M. J. Grimble: LQG regulation with disturbance measurement feedforward. Internat. J. Control · Zbl 0648.93078
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