杭州电子科技大学现代控制理论基础课件第二章 线性系统分析（4）.ppt

Modern Control Theory Lecture 7 Modern Control Theory Letures Notes Coryrighr@Xiaodong zhao 2.5 Solution to Discrete time system equations For a linear discrete time system with initial state We want to find solution 2.5.1 Iterative method For LTI system ,we have State transition matrix then Properties: 2.5.3 Calculate State Transition Matrix Method 1: Direct calculate Example 1: Method 2: Z-Transform Example 2: Method 3: Canonical realization Example3 . Method 4. Hamilton method Example 4 2.6 Discretization of linear continuous-time system Assumptions: 1. Unique sampling period T, sample time: 2. Input signal changes at the sample instant and keeps its value between the sample instants via the zero-order holder. 3. Sampling period T satisfies the Shannon sampling theorem. 2.6.1 Discretization of LTI system Example 5: 2.6.2 Discretization of Linear Time Varying system 2.6.3 Approximate Discretization Example 6: Example 7: Method 1: Method 2: Approximate Discretization * * 2.5.2 Z-transform method For LTI system Applying inverse Z-transform, we can get * * * * *