Sampled-data optimal control of continuous systems for quadratic criterion function taking account of delayed control action. (English) Zbl 0562.93057

Kondo, R.; Furuta, K.

Int. J. Control 41, 1051-1060 (1985).

Summary: This paper is concerned with the sampled-data control of a continuous system in the situation where there exists delay for the control action after the measurement of the output at each sampling instant. The optimal control with the quadratic criterion function defined for the continuous system is adopted in this control problem. This paper shows that the problem can be transformed into the optimal control of a discrete system for the quadratic criterion function, and the variation of the control law to the sampling period and to the delay of the control action is clarified. The deterioration of cost performance with respect to delay is derived. A numerical example is also presented.

MSC:

93C57	Sampled-data control/observation systems
93C05	Linear systems in control theory
93C35	Multivariable systems, multidimensional control systems
93B17	Transformations
93C55	Discrete-time control/observation systems
93C99	Model systems in control theory

Keywords:

sampled-data control; continuous system; quadratic criterion; delay of the control action

References:

[1]	FURUTA K., Int. J. Control 39 pp 1351– (1984) · Zbl 0534.93031
[2]	Kuo B. C., Digital Control Systems (1980)
[3]	LEVIS A. H., Int. J. Control 13 pp 343– (1971) · Zbl 0211.45602
[4]	MITA T., Trans. Soc. Instrum. Control Engrs 18 pp 556– (1982)