State space feedback 3 - transformation to a canonical form скачать в хорошем качестве

State space feedback 3 - transformation to a canonical form

The previous video showed that when a system is in control canonical form and has full state observability, it is straightforward to design a state feedback to place the closed-loop poles. This video considers the issue for a more general system structure. It shows that, assuming controllability, there always exists a similarity transformation that will convert a system into control canonical form. Using this transformation one can do placement using the canonical form and transformation to find the implied state feedback. A step by step algorithm is defined and demonstrated. [Note silly typo in example 1 where used desired poles ( -1, -1) rather than (-1,-2) as stated originally.] Lectures aimed at engineering undergraduates. Presentation focuses on understanding key prinicples, processes and problem solving rather than mathematical rigour.