LMIs in Control/Stability Analysis/Continuous Time/Output Energy Bound for Non-Autonomous LTI Systems

Introduction Wile in the case of autonomous systems, they only need initial input constraints and cannot be changed using external inputs; the non-autonomous systems on the other hand can have changes happen to its behavior using a controller. The System Consider the continuous-time LTI system with state space realization The Data , , , & Determining the bound The output of this system must satisfy if there exists some matrix and scalar , where , such that , . Implementation This can be implemented in any LMI solver such as YALMIP, using an algorithmic solver like Gurobi. Conclusion Given a non-autonomous system with initial operating conditions and a controller, the parameter can be used to determine the feasible bound on the output of that system. Related LMIs LMIs in Control/Stability Analysis/Discrete Time/Output Energy Bound for Autonomous LTI Systems LMIs in Control/Stability Analysis/Discrete Time/Output Energy Bound for Non-Autonomous LTI Systems External Links LMI Properties and Applications in Systems, Stability, and Control Theory