Robust Non-fragile LQ Controllers: The Static State Feedback Case
Abstract¶
This paper describes the synthesis of non-fragile or resilient regulators for linear systems. A general framework for fragility is described using state-space methodologies, and the LQ/H2 static state-feedback problem is examined in detail. We discuss the multiplicative structured uncertainties case, and propose remedies of the fragility problem using an optimization programming framework via matrix inequalities. A special case that leads to a convex optimization framework via linear matrix inequalities (LMIs) will be considered. The benchmark problem is taken as an example to show how special controller gain variations can affect the performance of the closed-loop system.
Summary¶
Studies resilient LQ/H2 static state-feedback design when controller gains themselves are uncertain or imperfectly implemented. The paper frames controller fragility through structured multiplicative uncertainty and uses matrix inequalities, with an LMI special case, to synthesize controllers that tolerate gain perturbations.
Links¶
Tags¶
Similar Papers¶
Robust, Non-fragile and Optimal Controller Design via Linear Matrix Inequalities
Nonfragile LMI State Feedback
On the Robustness of LQ Regulators for Discrete-time Systems
Robust Discrete-Time LQ Regulation
State-feedback Control of Systems with Multiplicative Noise via Linear Matrix Inequalities
LMI State Feedback for Multiplicative Noise