Sala, Antonio Computer control under time-varying sampling period: an LMI gridding approach. (English) Zbl 1100.93511 Automatica 41, No. 12, 2077-2082 (2005). Summary: This paper addresses computer control under time-varying sampling period and delayed actuation. The proposed approach uses time-varying observers and state-feedback controllers designed by means of linear matrix inequalities (LMI) and quadratic Lyapunov functions. The use of non-stationary Kalman filters is also discussed. A separation principle applies in some cases. A DC motor control setup shows the applicability of the approach in a real implementation. Cited in 20 Documents MSC: 93C83 Control/observation systems involving computers (process control, etc.) 93E11 Filtering in stochastic control theory Keywords:Time-varying sampling period; Unconventional sampling; Networked control; Kalman filter; LMI PDF BibTeX XML Cite \textit{A. Sala}, Automatica 41, No. 12, 2077--2082 (2005; Zbl 1100.93511) Full Text: DOI OpenURL References: [1] Albertos, P.; Crespo, A., Real-time control of non-uniformly sampled systems, Control engineering practice, 7, 4, 445-458, (1999) [2] Albertos, P.; Sanchis, R.; Sala, A., Output prediction under scarce-data operation control applications, Automatica, 35, 10, 1671-1681, (1999) · Zbl 0935.93058 [3] Anderson, B.D.O., Stability properties of Kalman-bucy filters, Journal of the franklin institute, 291, 137-144, (1971) · Zbl 0275.93044 [4] Anderson, B.D.O.; Moore, J.B., Optimal filtering, (1979), Prentice-Hall Englewood Cliffs, NJ · Zbl 0758.93070 [5] Antsaklis, P.J.; Mitchel, A.N., Linear systems, (1997), McGraw-Hill New York [6] Apkarian, P.; Adams, R.J., Advanced gain-scheduling techniques for uncertain systems, IEEE transactions on control systems technology, 6, 1, 21-32, (1998) [7] Boyd, S.; Gaoui, L.; Feron, E.; Balakrishnan, V., Linear matrix inequalities in systems and control theory, (1994), SIAM Philadelphia, PA [8] Deyst, J.J., Conditions for asymptotic stability of the discrete minimum-variance linear estimator, IEEE transactions on automatic control, 13, 702-705, (1968) [9] Guo, L., Estimating time-varying parameters by the Kalman filter based algorithm: stability and convergence, IEEE transactions on automatic control, 35, 2, 141-147, (1990) · Zbl 0704.93067 [10] Hu, B.; Michel, A.N., Stability analysis of digital feedback control systems with time-varying sampling periods, Automatica, 36, 897-905, (2000) · Zbl 0941.93034 [11] Montestruque, L.A.; Antsaklis, P.J., Stability of model-based networked control systems with time-varying transmission times, IEEE transactions on automatic control, 49, 9, 1562-1572, (2004) · Zbl 1365.90039 [12] Tipsuwan, Y.; Chow, M.-Y., Control methodologies in networked control systems, Control engineering practice, 11, 10, 1099-1111, (2003) [13] van Loan, C.F., Computing integrals involving the matrix exponential, IEEE transactions on automatic control, 23, 3, 395-404, (1978) · Zbl 0387.65013 [14] Zhivoglyadov, P.V.; Middleton, R.H., Networked control design for linear systems, Automatica, 39, 4, 743-750, (2003) · Zbl 1022.93018 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.