Control System Design

Determine the feedback gain k that minimizes the performance index J = fo [ xt(t) x(t) + ut(t)u(t)] dt for where x(t)_ 1°0 oTs(t) [°,] Li(t), ,(0)= Pol u(0= — [ k k I x(t). What is the value of ? Do not use the Riccati equation.                                                                                                                                                                                                  

Sample Solution