Nonlinear control via approximate input-output linearization: the ball and beam example
Citations
2,575 citations
Cites background or methods from "Nonlinear control via approximate i..."
...But the controller of [ 5 ] requires the mathematical model of the system, whereas our method does not....
[...]
...Then, from [ 5 ], the system can be represented by the state-space model...
[...]
...We also simulated two extreme cases: (i) using the original controller of [ 5 ] and (ii) using only the pure linguistic controller fL(z) based on Rf-R;, for the same initial V. CONCLUSIONS...
[...]
...where the control U is the acceleration of 0, and the parameters B and G are defined in [ 5 ]....
[...]
...The input-output linearization algorithm of [ 5 ] determines the control law U(.) as follows: for state 2, compute ~(z) =...
[...]
2,024 citations
977 citations
Cites methods from "Nonlinear control via approximate i..."
...…prediction—Deboeck (1994); Kaufman (1987); Goonatilake and Kheball (1994) Control—Werbos (1992); Wang (1994); for a mathematical solution of the Ball and Beam Problem, see Hanser et al. (1992) Statistical methods—Metcalfe (1994) Generic and specific AI problems: Schwefel and Manner (1990) Page 75 2...
[...]
...Imagine a problem called the Ball and Beam Problem....
[...]
...Symbolic AI, expert systems—Giarratano and Riley (1989); Pratt (1994); Dean et al. (1995) Genetic algorithms—Holland (1992); Goldberg (1989); Davis (1991); Michaliewicz (1992); Fogel (1995) Pattern recognition—Weiss and Kulikowski (1991); Nigrin (1994); Pao (1989); Bezdek and Pal (1992) Speech and language processing—Morgan and Scofield (1992); Owens (1993); Kasabov and Watson (1994) Time-series prediction—Weigend and Gershenfeld (1993) Financial and business prediction—Deboeck (1994); Kaufman (1987); Goonatilake and Kheball (1994) Control—Werbos (1992); Wang (1994); for a mathematical solution of the Ball and Beam Problem, see Hanser et al. (1992) Statistical methods—Metcalfe (1994) Generic and specific AI problems: Schwefel and Manner (1990) Page 75 2...
[...]
803 citations
Cites background from "Nonlinear control via approximate i..."
...We refer the reader to [14] for further details on the model....
[...]
655 citations
Cites background from "Nonlinear control via approximate i..."
...Examples of such models can be found in [3], [ 5 ], [11], [17], [19], and [26]....
[...]
...In [ 5 ] and [26], the models given of the ball and beam system fit in the form of (1)‐(4)....
[...]
References
8,525 citations
1,696 citations
1,639 citations
592 citations