Please solve the question by explaining in details. Thanks inadvance.
Q4/4) A system with two main operational modes is given by the following state space model. Design a gain scheduling control rule in order to maintain the system around the average mode states with the dynamics given by Qp. x₁ (t) = -18x₁ (t) + 6x2(t) + 7x₂ (t) - x² (t) x₂ (t) = 3x₁ (t) = x₂(t) + u(t) Xop1 = [3] Xop2 = [1] QD (2) = 2² +41λ + 420
Please solve the question by explaining in details. Thanks in advance.
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