LMIs in Control/Robustness/Continuous Time/DKIteration

This methods uses LMI techniques iteratively to obtain the result. The System Given a state-space representation of a system and an initial estimate of reduced order model . Where and . The Data The full order state matrices . The Optimization Problem Alternate fixing in an iterative process to estimate a solution for Dynamic Output Feedback Synthesis with Structured Norm-Bounded Uncertainty. The LMI: D-K Iteration Objective: . Subject to:: Initialize: \\ Define:\\ Step 1: Fix: and solve: Step 2: Fix K and minimize such that there exists and such that where define (Bisection) Step 3: Go to Step 1 Conclusion: This is less of an LMI and more of a heuristic that allows us to solve for time-invariant scalings and controller K. However, there are no guarantees that this process will return an globally optimized result. Implementation https://github.com/mosmith3asu/WikibooksLMIs/blob/main/DKiteration.m - Example Code Related LMIs https://en.wikibooks.org/wiki/LMIs_in_Control/pages/Discrete_Time_H%E2%88%9E_Optimal_Dynamic_Output_Feedback_Control - - Dynamic Output Feedback Controller Synthesis External Links A list of references documenting and validating the LMI. http://control.asu.edu/MAE598_frame.htm LMI Methods in Optimal and Robust Control- A course on LMIs in Control by Matthew Peet. Return to Main Page: