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Math Help - Nonlinear control

  1. #1
    Junior Member
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    Nonlinear control

    Is there any method solving nonlinear process of form

    F[x(k+1)]=G[x(k)]+H[u(k)]

    where F(.), G(.), H(.) are any general functions? Appreciate your help very much!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by WangTaoSG View Post
    Is there any method solving nonlinear process of form

    F[x(k+1)]=G[x(k)]+H[u(k)]

    where F(.), G(.), H(.) are any general functions? Appreciate your help very much!
    By solve do you mean find in closed form the term x(n) for given F, G, H?

    RonL
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  3. #3
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    Nonlinear control

    Yes, i am looking for a close form solution. But if there exist any other type of solutions, would you please let me know? Generally, a close form solution of u(n)=K(x(n)) is most desirable but I understand in nonlinear process such solution is hard to achieve, so if there exist solutions that optimal nonlinear controller can be obtained implicitly as K(u(n), x(n)), it would also be helpful
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