The state equations for a system are i = y. y = x+u and u is subjected to the constraint Jul < 1. It is required to tran

[answerhappygod]

The State Equations For A System Are I Y Y X U And U Is Subjected To The Constraint Jul 1 It Is Required To Tran 1 (16.41 KiB) Viewed 36 times

The state equations for a system are i = y. y = x+u and u is subjected to the constraint Jul < 1. It is required to transfer the system from the initial state (xo.yo) to the final state (xq,y,) in the minimum time. (a) Prove that u always takes one of the values +1 and hence, find the switching function. (b) show that the optimal trajectories in the xy-plane are families of circular hyperbolae (x + 1)2 - y2 = constant (x - 1)2 - y2 = constant (c) if (x0,90) =(-1,0) and (xz,yz) = (1,0), prove that the switching point is given = = = by