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CAREER POINT UNIVE
MAJOR ASSIGNMENT
- Design & Discreatization of continuous time
state space equations
STATE SPACE REPRESENTATIONS OF DISCRETE-TIME SYS
Nonuniqueness of State Space Representations
STATE SPACE REPRESENTATIONS OF DISCRETE-TIME SYS
Nonuniqueness of State Space Representations
≡
SOLVING DISCRETE TIE STATE-SPACE EQUATIONS
Solution of LTI Discrete-Tim State Equations
x(k) or any positive integer k may be obtined directly by recursion, as follows:
SOLVING DISCRETE TIE STATE-SPACE EQUATIONS
State Transition Matrix
It is possible to write the solution of the homogeneous state equation
as
state transition matrix(fundamental matrix) :
SOLVING DISCRETE TIE STATE-SPACE EQUATIONS
State Transition Matrix
SOLVING DISCRETE TIE STATE-SPACE EQUATIONS
z Transform Approach to the Solution of Discrete-Time State Equations
SOLVING DISCRETE TIE STATE-SPACE EQUATIONS
z Transform Approach to the Solution of Discrete-Time State Equations
Example:
a)
b)
Coding
• P1=[8 56 96];
• Q1=[1 4 9 10];
• Sys=tf(P1,Q1)
• Roots(P1);
• Roots(Q1);
• pzMAP(sys);
Figure
Coding.2
• Num=[49];
• Den=[ 1 4 9 ];
• Sys=tf(num,den);
• load ltiexamples
• ltiview
Graph
Coding
• Num=[49 89 96];
• Den=[1 4 9];
• Sys=tf[Num,Den];
• Load ltiexamples
• ltiview
Graph
k12020 control theory ppt

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k12020 control theory ppt