Optimal Control of Nonlinear Systems
Using the nonlinear operational matrix derived in Chapter 2 and other relevant operational properties of LPs and BPFs, an approximate solution for a nonlinear optimal control problem with quadratic performance index is given. Three illustrative examples are included to demonstrate the validity of the approach.
Looking at the historical developments on solving optimal control problem of nonlinear systems via the OF approach, we find that not much work has been reported. Lee and Chang [40] appear to be the first to study the optimal control problem of nonlinear systems using GOPs. For this, they introduced a nonlinear operational matrix of GOPs. Though their work is fundamental ...
Get Continuous Time Dynamical Systems now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
