학술논문

Optimal Dynamic Output Feedback Design for Continuous-Time Linear Time-Invariant Systems
Document Type
Periodical
Source
IEEE Control Systems Letters IEEE Control Syst. Lett. Control Systems Letters, IEEE. 8:454-459 2024
Subject
Robotics and Control Systems
Computing and Processing
Components, Circuits, Devices and Systems
Observers
Linear systems
Output feedback
Optimal control
Heuristic algorithms
Standards
Linear programming
linear-quadratic regulator
observers for linear systems
Language
ISSN
2475-1456
Abstract
This letter presents iterative methods to design optimal controller-observer pairs for dynamic output feedback control of continuous-time linear time-invariant systems. We propose a novel design formulation based on the linear optimal control framework with additional structural constraints. Using Lyapunov stability theory and algebraic manipulations, we reformulate the complex optimization problem into a computationally viable format. We present a gradient-descent-based algorithm to solve this optimization problem effectively. Finally, we validate our proposed theories through numerical examples.