信号与系统课件教学作者2 Chapter8 The Analysis of Systemic State Space.ppt

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1、Chapter8TheAnalysisofSystemicStateSpaceξ8.1StateModelf(t)Input-OutputEquationStateEquationξ8.2ConstructionofStateEquationForContinuousSystems8.2.1DirectCompileStep:1).StateVariablex(t):uc(t),iL(t)(Independence)2).ConstructStateEquationUsingKCL,KVL3).ConstructIn

2、put-OutputEquationEx1:Output:u3(t),i2(t)ConstructStateEquationandInput-OutputEquation=?Solution:Let:x1=iL(t)x2=uc(t)KVL:KCLi1=i2+x1=>ξ8.2.2ConstructStateEquationUsingDifferentialEquationif(m

3、on:ξ8.2.3ConstructStateEquationUsingSystemFunctionEx3:Solution1:ConstructStateEquationandInput-OutputEquation=?Solution2:Solution3:ξ8.3ConstructionofStateEquationForDiscreteSystemsSolution:ConstructStateEquationandInput-OutputEquation=?Ex4:y(k)+2y(k-1)-3y(k-2)+

4、4y(k-3)=f(k-1)+2f(k-2)-3f(k-3)ξ8.4SolutionofStateEquationForContinuousSystemsProperty:8.4.1TimeSolution25CounteAtACharacterRoots:λim_orderroot:Ex5:x(t)=?h(t)=?y(t)=?Solution:h(t)=8.4.2S-DomainSolutionH(s)=CΦ(s)B+DEx6:x(t)=?h(t)=?y(t)=?Solution:8.5.1TimeSolution

5、ξ8.5SolutionofStateEquationForDiscreteSystemsEx7:y(0)=2,y(1)=6x(k)=?h(k)=?y(k)=?Solution:8.5.3Z-DomainSolutionEx8:y(k)=?Solution:x(0)=[01]Tξ8.6StabilityofTheSystemsStability:Re{λi}<0Stability:

6、λi

7、<1