## Design of a model following control system for nonlinear descriptor system in discrete time.(English)Zbl 1173.93387

Summary: A Model Following Control System (MFCS) can output general signals following the desired ones. In this paper, a method of nonlinear MFCS will be extended to be a nonlinear descriptor system in discrete time. The nonlinear system studied in this paper has the property of norm constraint $$\|f(v(k))\|\leq\alpha+\beta\|v(k)\|^\gamma$$, where $$\alpha\geq 0$$, $$\beta\geq 0$$, $$0\leq\gamma<1$$. In this case, a new criterion is proposed to ensure the internal states be stable.

### MSC:

 93E12 Identification in stochastic control theory 62F15 Bayesian inference 93C55 Discrete-time control/observation systems
Full Text:

### References:

 [1] Byrnes C. I., Isidori A.: Asymptotic stabilization of minimum phase nonlinear systems. IEEE Trans. Automat. Control 36 (1991), 10, 1122-1137 · Zbl 0758.93060 [2] Casti J. L.: Nonlinear Systems Theory. Academic Press, London 1985 · Zbl 0555.93028 [3] Furuta K.: Digital Control. Corona Publishing Company, Tokyo 1989 · Zbl 0615.93060 [4] Isidori A.: Nonlinear Control Systems. Third edition. Springer-Verlag, Berlin 1995 · Zbl 0931.93005 [5] Khalil H. K.: Nonlinear Systems. MacMillan Publishing Company, New York 1992 · Zbl 1140.93456 [6] Mita T.: Digital Control Theory. Shokoto Company, Tokyo 1984 [7] Mori Y.: Control Engineering. Corona Publishing Company, Tokyo 2001 [8] Okubo S.: A design of nonlinear model following control system with disturbances. Trans. Society of Instrument and Control Engineers 21 (1985), 8, 792-799 [9] Okubo S.: A nonlinear model following control system with containing unputs in nonlinear parts. Trans. Society of Instrument and Control Engineers 22 (1986), 6, 792-799 [10] Okubo S.: Nonlinear model following control system with unstable zero points of the linear part. Trans. Society of Instrument and Control Engineers 24 (1988), 9, 920-926 [11] Okubo S.: Nonlinear model following control system using stable zero assignment. Trans. Society of Instrument and Control Engineers 28 (1992), 8, 939-946 [12] Takaxashi Y.: Digital Control. Iwahami Shoten, Tokyo 1985
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.