c) Find the equivalent discrete State Space model for the following continuous State Space system. The sampling time of

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C Find The Equivalent Discrete State Space Model For The Following Continuous State Space System The Sampling Time Of 1 (65.36 KiB) Viewed 78 times

c) Find the equivalent discrete State Space model for the following continuous State Space system. The sampling time of the discrete system, T = 0.1 seconds. X₁ = 0.95X₁ +0.5U y = 0.1X₁ [5 Marks] d) Determine the equivalent discrete transfer function for this system. Comment on the stability of the system. A step input is applied to the system. Briefly comment on the likelihood of the system showing a high peak overshoot characteristic. Justify your answer. [5 Marks] e) A discrete state space model is described by the following state equations: (k+1) 0.2 [X, (+D]-[-0₂6 0² [X, (0)]- * = y=[10] X₁(k) X₂(k)] X₂(k+1) 0.2 It is proposed to control this system using a state estimator. Explain whether this is possible, or not?