A system has the vector differential equation as given in Equation (11.42). We want both

Chapter 0, Problem P11.7

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A system has the vector differential equation as given in Equation (11.42). We want both state variables to be used in the feedback so that u(t) = -k{Xi - k2x2. Also, we desire to have a natural frequency w for this system equal to 2. Find a set of gams k\ and k2 in order to achieve an optimal system when J is given by Equation (11.63). Assume xr (0) = [1 OJ.

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