Optimal Discrete - time Control for Non - linear Cascade
نویسنده
چکیده
bl this paper we develop an optbnalio'-based.fi'amework Jbr designing controlh, rs Jbr discrete-l#ne non-linear cascade systems. Slwc(fically, usinq a non-linear non-quadratic opt#hal control Ji'amework we develop a family O[ylohally stabilizing backstepph, q-O'pe controllers parameterized hy the cost .[unctional that is minhnized. Furthermore, it is shown that the control L l ' a p u n o t " fimction guaranteehTg closed-loop stabilio' is a solution to the slea~O'-state Bellman equation.ft," the controlled a3,stem attd thus guarantees both optimali O' aml stabiliO'. 1998 The Franklin Institute. Published by Elsevier Science Ltd Kevwords: nonlinear control: discrete-time; Bellman principal of optimality; control Lyapunov functions; cascade systems.
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