Time-scale analysis
D. Subbaram Naidu · Institution of Engineering and Technology eBooks · 1988
In this chapter, we focus our attention on the time-scale analysis of continuous and discrete systems. Section 3.1 describes a block diagonalisation procedure to decouple a continuous system having the two-time property into a slow and a fast subsystem. The aspects of permutation and scaling are discussed in Section 3.2. Section 3.3 provides an interesting fact that singularly perturbed continuous systems can be viewed as two-time-scale systems. The feedback design for eigenvalue placement is the content of Section 3.4. Sections 3.5-3.7 discuss the above aspects of block diagonalisation and feedback design with reference to discrete systems. The last Section summarises the Chapter with a brief discussion.