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Stochastic analysis and control of real-time systems with random time delays. (English) Zbl 0908.93073
The authors analyse linear random systems with linear control taking into account random time delays both between the sensor and the controller and between the controller and the actuator. The delays can be observed and their probability distribution is assumed to be known. Under a few additional hypotheses the authors derive optimal controls for a corresponding LQG problem. They provide an example which shows how their solution performs in comparison with other (suboptimal) controls proposed in the literature.

MSC:
 93E20 Optimal stochastic control (systems) 93C83 Control problems involving computers 93C57 Sampled-data control systems
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References:
 [1] Anderson, B. D. O.; Moore, J. B.: Optimal filtering. (1979) · Zbl 0688.93058 [2] åström, K. J.: Introduction to stochastic control theory. (1970) · Zbl 0226.93027 [3] åström, K. J.; Wittenmark, Björn: Computer controlled systems--theory and design. (1990) [4] Chan, H.; Özgüner, Ü.: Closed-loop control of systems ver a communications network with queues. Int. J. Control 62, No. 3, 493-510 (1995) · Zbl 0830.93055 [5] Chen, H. -F.; Kumar, P. R.; Van Schuppen, J. H.: On Kalman filtering for conditionally Gaussian systems with random matrices. Systems control lett., 397-404 (1989) · Zbl 0697.93058 [6] Doyle, J. C.; Stein, G.: Robustness with observers. IEEE trans. Automat. control 24, No. 4, 607-611 (1979) · Zbl 0412.93030 [7] Ji, Y.; Chizeck, H. J.; Feng, X.; Loparo, K. A.: Stability and control of discrete-time jump linear systems. Control theory adv. Technol. 7, No. 2, 247-270 (1991) [8] Kalman, R. E.: Control of randomly varying linear dynamical systems. Proc. symp. In appl. Math. 13, 287-298 (1962) · Zbl 0107.35102 [9] Krtolica, R.; Özgüner, Ü.; Chan, H.; Goktas, H.; Winkelman, J.; Liubakka, M.: Stability of linear feedback systems with random communication delays. Int. J. Control 59, No. 4, 925-953 (1994) · Zbl 0812.93073 [10] Luck, R.; Ray, A.: An observer-based compensator for distributed delays. Automatica 26, No. 5, 903-908 (1990) · Zbl 0701.93055 [11] Nilsson, J.: Analysis and design of real-time systems with random delays. Lictech thesis (1996) [12] Nilsson, J.; Bernhardsson, B.; Wittenmark, B.: Stochastic analysis and control of real-time systems with random time delays. Proc. 13th int. Federation of automatic control world congress, 267-272 (1996) [13] Ray, A.: Introduction to networking for integrated control systems. IEEE control systems mag., 76-79 (1989) [14] Ray, A.: Output feedback control under randomly varying distributed delays. J. guidance control dyn. 17, No. 4, 701-711 (1994) · Zbl 0925.93291 [15] Shin, K. G.; Kim, H.: Hard deadlines in real-time systems. IFAC symp. On algorithms and architectures for real-time control, 9-14 (1992) [16] Wittenmark, B.; Nilsson, J.; Törngren, M.: Timing problems in real-time control systems. Preprints American control conf., 2000-2004 (1995)