Digital Control System Analysis And Design 4th Edition Charles Phillips, H. Nagle, Aranya Chakrabortty - Solutions
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![with the cost function x(k+ 1) = 0.6x(k) + 0.5u(k) J3 = [2x(k) + 7u(k)] k = 0](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/6/4/5/73065aa16a2ae8ed1705645729772.jpg)
![- [6 1] x(4) + [0.235 x(k + 1) = y(k) [10]x(k) = u(k)](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/6/4/5/77565aa16cfbc2801705645774653.jpg)
 k=0 x(K) x(k) + 2u(k)](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/6/4/5/81465aa16f675a241705645813516.jpg)
![JN N = 2x00 [11]x(*) Ex() k=0 x(k) + 20u(k)](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/6/4/5/96065aa1788a8ed41705645959263.jpg)
![x(k+ 1) = 0.7408x(k)+1.0368u(k) Let the cost function be given by 3 J3 = [2x(k) + u(k)] k = 0](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/6/4/6/06765aa17f35e2761705646066199.jpg)
![with the cost function x(k+ 1) = 0.6x(k) + 0.5u(k) 3 J3 = [2x(k) + 7u(k)] k=0](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/6/4/6/51665aa19b4a656d1705646515539.jpg)
![q(k)= a(k) + 0.7105[y(k) - q(k)] q(k+1)= 0.8q(k) + 0.2u(k)](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/6/4/7/19765aa1c5d3c8841705647195898.jpg)
![= [1 ]x) + x(k) y(k)= [10]x(k) + (k) x(k + 1) [0.11 Ju(k) + [0.02] 0.2 w(k)](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/6/4/7/34765aa1cf3c400e1705647346075.jpg)
![with A = 208 0 0 0 3 0 -8 -6 x = Ax + Bu y = Cx 0 B = 0, and C= [1 0 0]. Using = 8 0 0 0 6 0 0 4 3 R = 1.5](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/6/4/6/01865aa17c25a3141705646016987.jpg)
![R(s) m(kT) = e(kT) - 0.9e[(k 1)T] + m[(k 1)T] Gp(s) 1 s+1 T= 1 s D(z) 1-8-7's S M(s) Figure P6.5-2 System](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/5/6/0/64965a8ca49e2c881705560649848.jpg)
![Consider the system of Fig. P6.5-2. The digital filter is described by m(kT) = e(kT) - 0.9e[(k 1)T] + m[(k](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/5/6/0/89465a8cb3e1d1a71705560893854.jpg)
![(a) Show that the pulse transfer function of the plant is given by 1 1 G(z) = 32 (s + 1)] = 0.01873z +](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/5/6/5/83765a8de8d2eac71705565837211.jpg)
