Fall 2001 16.311-6 3. How: There are a variety of ways to develop these state-space models. We will explore this process in detail Linear systems theor 4. Control design: Split into 3 main parts Full-state feedback-ficticious since requires more information than typically(ever? ) available Observer/ estimator design-process of "estimating"the sys- tem state from the measurements that are available Dymamic output feedback-combines these two parts with provable guarantees on stability (and performance Fortunately there are very simple numerical tools available perform each of these steps Removes much of the" art"and or"magic"required in classi- cal control design - design process more systematic Word of caution:- Linear systems theory involves extensive use of linear algebra Will not focus on the theorems/proofs in class -details will be handed out as necessary, but these are in the textbooks Will focus on using the linear algebra to understand the behav- IOI of the system dynamics so that we can modify them usi control. "Linear algebra in action Even so, this will require more algebra that most math courses that you have takenFall 2001 16.31 1—6 3. How: There are a variety of ways to develop these state-space models. We will explore this process in detail. — “Linear systems theory” 4. Control design: Split into 3 main parts — Full-state feedback —ficticious since requires more information than typically (ever?) available — Observer/estimator design —process of “estimating” the sys￾tem state from the measurements that are available. — Dynamic output feedback —combines these two parts with provable guarantees on stability (and performance). — Fortunately there are very simple numerical tools available to perform each of these steps — Removes much of the “art” and/or “magic” required in classi￾cal control design → design process more systematic. • Word of caution: — Linear systems theory involves extensive use of linear algebra. — Will not focus on the theorems/proofs in class — details will be handed out as necessary, but these are in the textbooks. — Will focus on using the linear algebra to understand the behav￾ior of the system dynamics so that we can modify them using control. “Linear algebra in action” — Even so, this will require more algebra that most math courses that you have taken . . .