စഞ
1
1. 䕏Ꮉ䖛ܜ䖯ࠊᬭ㚆䚼䞡⚍ᅲ偠ᅸ, ∳ᄺ ⠽㘨㔥Ꮉᄺ䰶 ᮴䫵 214122
E-mail: xiaoys@jiangnan.edu.cn
ᨬ㽕: 䩜ᇍϔ㉏䴲㒓ᗻ⾏ᬷࡼᗕ㋏㒳, Ѣ⼲㒣㔥㒰ൟ䆒䅵њϔϾ㞾䗖ᑨࠊᮍḜ. 䗮䖛ড়⧚䆒䅵ൟ䯈ⱘߛ
ᤶޚ߭, 㵡ড়㒓ᗻ剕Ầ㞾䗖ᑨࠊ఼Ѣ⼲㒣㔥㒰ⱘ䴲㒓ᗻ㞾䗖ᑨࠊ఼ⱘ㞾Ӭ⚍, ֱ䆕ӏᛣᯊࠏ䛑㛑䗝ᢽ᳔ད
ⱘࠊ఼ᇍ㋏㒳䖯㸠ࠊ. ࠊᮍḜ㛑ᇚ㋏㒳〇ᅮᗻࠊᗻ㛑Ӭ࣪ⱘࠊߚ⾏ᑊ⣀ᅲ⦄, Փᕫ㋏㒳㛑ֱ䆕〇
ᅮᗻࠡᦤϟ, ׳ࡽ⼲㒣㔥㒰ࠊ఼㡃དⱘ䗑䏾㛑᳝ᬜᦤ催㞾䗖ᑨࠊᬜᵰ. ᳔ৢ䗮䖛ӓⳳ՟ᄤ偠䆕њᦤߎⱘㅫ⊩ֱ
䆕㋏㒳〇ᅮᗻⱘࠡᦤϟ㛑᳝ᬜᦤ催䕧ߎ䗑䏾ᬜᵰ.
݇䬂䆡: 㞾䗖ᑨࠊ, 䴲㒓ᗻ㋏㒳,⼲㒣㔥㒰, ൟ, 䕀ᤶᓔ݇
Multi-model Adaptive Control for a Class of Nonlinear System
Based on Neural Networks
XIAO Yongsong
1
1. Key Laboratory of Advanced Process Control for Light Industry(Ministry of Education), Jiangnan University, Wuxi 214122
E-mail: xiaoys@jiangnan.edu.cn
Abstract: For a class of discrete time dynamical systems, an adaptive control scheme is proposed based on neural networks and
multi-model. By designing a reasonable switching law among the models, the merits of linear robust adaptive controller and a
neural networks based nonlinear adaptive controller can be well integrated, such that the best controller can be selected for the
system at anytime. The control of stability and performance improving can achieve respectively, which not only guarantees the
stability, but also improves the adaptive control performance by using neural network controller. Finally, it is demonstrated that
improved performance and stability can be simultaneously achieved by simulation examples.
Key Words: Adaptive control, Nonlinear system, Neural networks, Multi-model, Switching
1 ᓩ㿔
ᇍѢ㒧ᵘⳌᇍᴖⱘࡼᗕ䴲㒓ᗻ㋏㒳, ᐌ㾘ⱘ㞾
䗖ᑨࠊᇍᅗӀᏆ㒣᮴⊩ᕫࠄ⧚ᛇⱘࠊᬜᵰ, 㗠⼲
㒣㔥㒰㞾䗖ᑨࠊ㹿䆕ᅲ᳝ৃ㛑ᕫࠄ㡃དⱘ䕼䆚
ࠊᬜᵰ
[1]
. ᅛ䴭ㄝህ㗗㰥њѢ⼲㒣㔥㒰
ൟᇍϔ㉏䴲㒓ᗻ㋏㒳ⱘ㞾䗖ᑨᑓН乘⌟ࠊҹঞ
ᑓН乘⌟㾷㗺ࠊᮍ⊩䖯㸠њ䆒䅵ߚᵤ, 䗮䖛ড়⧚
ⱘ䆒䅵ߛᤶᴎࠊҢ㗠ᅲ⦄ֱ䆕㋏㒳〇ᅮᗻࠡᦤϟ
ᬍ㋏㒳ᗻ㛑
[2,3]
. ᭛⤂[4]ৠḋѢ⼲㒣㔥㒰
ൟ, 䩜ᇍϔ㉏䕧ܹ䕧ߎⱘ䴲㒓ᗻ⾏ᬷ㋏㒳䆒䅵њ
ϔ⾡㞾䗖ᑨPIDࠊᮍ⊩, ൟП䯈䗮䖛ড়⧚ⱘ
ߛᤶҹᅲ⦄㋏㒳ⱘ〇ᅮϢᗻ㛑ᬍП䯈ⱘᑇ㸵.
Ԛᰃˈ⬅Ѣሖ⼲㒣㔥㒰ⱘ㒧ᵘᴖᗻ㋏㒳ⱘ
䴲㒓ᗻ⡍ᗻ, 䩜ᇍ㞾䗖ᑨࠊ㋏㒳〇ᅮᗻߚᵤᕔᕔ↨
䕗Ậ. ሑㅵг᳝᭛⤂䩜ᇍℸ㉏㋏㒳ⱘ〇ᅮᗻخ䖛ϔ
ᅮⱘ䅼, Ԛ䛑ᄬϔᅮⱘሔ䰤ᗻ, ՟བ䗝ᢽⱘ
⼲㒣㔥㒰ᰃѢ㒓ᗻখ᭄࣪ⱘ
[5-7]
, 㗙ⷨおⱘ㹿
㋏㒳ᕔᕔ㽕∖䴲㒓ᗻ⡍ᗻⳌᇍㅔ㗙㽕∖㒓ᗻ䚼
*
ℸ乍Ꮉᕫࠄᆊ㞾✊⾥ᄺ䞥䌘ࡽˈ乍Ⳃᡍޚো˖61203111.
ߚЎ᳔᳝ᇣⳌԡ⡍ᗻㄝㄝ, ℸѢℸᕫߎⱘ㒧䆎
㞾✊᮴⊩Ⳉᠽሩᑨ⫼Ѣϔ㠀࣪ⱘ㒧ᵘ
[4,8]
.
ᴀ᭛ᦤߎⱘ㞾䗖ᑨࠊᮍ⊩䞛⫼䴲㒓ᗻখ᭄࣪
ⱘ⼲㒣㔥㒰, Ѣӏᛣⱘখ᭄䇗ᭈㄪ⬹, ᑊϨ䩜ᇍⳌ
ᇍϔ㠀࣪ⱘ㋏㒳ൟ䛑ৃҹ㦋ᕫ〇ᅮⱘ㞾䗖ᑨ
ࠊᬜᵰ, Ң㗠䙓ܡњҹϞ᠔䗄㔎⚍. 䆒䅵䴲㒓ᗻ
ࠊㄪ⬹ᯊ, ᇚ䞛⫼ൟࠊⱘㄪ⬹, 䗮䖛㵡ড়⾡
ൟⱘӬ⚍, ֱ䆕㋏㒳᳝㡃དⱘ〇ᅮᗻ㛑ⱘৠᯊ
ᬍ㋏㒳ࠊᬜᵰ. 佪ܜѢ㒓ᗻࠊ⧚䆎䆒䅵ࠊ
ᮍ⊩ҹֱ䆕㋏㒳᳝㡃དⱘ剕Ầᗻ㛑, ✊ৢѢ⼲㒣
㔥㒰䆒䅵㋏㒳খ᭄䕼䆚఼ҹঞ㞾䗖ᑨࠊ఼ˈ䗮䖛ᅲ
ᯊ䕼䆚㸹ٓ䴲㒓ᗻ⡍ᗻҹᦤ催㋏㒳ⱘࠊᗻ㛑. ᳔
㒜㽕ᅲ⦄ൟⱘ᳝ᬜࠊ, 䆒䅵ϔϾড়⧚ⱘ䕀ᤶㄪ
⬹ᰃᖙϡৃᇥⱘ݇䬂⦃㡖, ᴀ᭛ᇚ䗮䖛ᇍ㹿ⱘ䴲㒓
ᗻ㋏㒳䖯㸠ϔѯড়⧚ⱘ؛䆒, ৠᯊՓ⫼ϔϾ㒓ᗻൟ
ϔϾѢ⼲㒣㔥㒰ⱘ䴲㒓ᗻൟᴹ䕼䆚䴲㒓ᗻ㋏
㒳ⱘ⡍ᗻ, ✊ৢѢϔᅮⱘᗻ㛑ޚ߭ߑ᭄ᴹֱ䆕ӏ
ᛣᯊࠏ, ㋏㒳ৃҹ䗝ᢽ݊ЁϔϾᗻ㛑དⱘࠊ఼ᇍ
㋏㒳䖯㸠ࠊ, ҹ㦋ᕫ᳔དⱘࠊᬜᵰ.
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