论文信息 - Stochastic adaptive control and prediction based on a modified least squares-the general delay-colored noise case

Stochastic adaptive control and prediction based on a modified least squares-the general delay-colored noise case

In (1-2), global convergence for a stochastic adaptic control based on (modified) least squares algorithms has been established. The proofe of lemma 3.4 of (1) and δ(t-d)-0 of (2) both made use of (3, A6). However, the conclusion of (3,A6) is questionable. Without using these conclusion, this paper attemps to establish global convergence for a discrete-time stochastic adaptive control and prediction based on slightly modified least squares algorithams for linear time-invariant discrete-time system having general delay and colored noise by slightly strengthening the condition of the noise.

Zhang You-hong | Zhang You-hong

[1] Graham C. Goodwin,et al. Ultimate Objectives and Prior Knowledge in System Identification , 1979 .

[2] H. Kushner. Convergence of recursive adaptive and identification procedures via weak convergence theory , 1977 .

[3] P. Ramadge,et al. Discrete Time Stochastic Adaptive Control , 1981 .

[4] G. Goodwin,et al. An adaptive d-step ahead predictor based on least squares , 1980 .

[5] V. Solo. The convergence of AML , 1979 .

[6] Lennart Ljung,et al. Analysis of recursive stochastic algorithms , 1977 .

[7] G. Goodwin,et al. Stochastic adaptive control and prediction--The general delay-colored noise case , 1980 .