LMI conditions for contraction and synchronization

Improved Lmi Conditions for Gain Scheduling and Related Control Problems

The gain scheduling problem considered in this paper concerns a linear system whose state-space equations depend rationally on real, time-varying parameters, which are measured in real time. A stabilizing, parameter-dependent controller is sought, such that a given L 2 -gain bound for the closed-loop system is ensured. Sufficient linear matrix inequality (LMI) conditions are known, that guarant...

Generic conditions for hydrodynamic synchronization.

Synchronization of actively oscillating organelles such as cilia and flagella facilitates self-propulsion of cells and pumping fluid in low Reynolds number environments. To understand the key mechanism behind synchronization induced by hydrodynamic interaction, we study a model of rigid-body rotors making fixed trajectories of arbitrary shape under driving forces that are arbitrary functions of...

LMI Conditions for Designing Rational Nonlinear Observers with Guaranteed Cost

This paper presents a technique for designing rational nonlinear observers for rational nonlinear systems with guaranteed cost performance. The approach is based on a Lyapunov function that is quadratic in the estimation error and rational in the system states. The design conditions are formulated as Linear Matrix Inequalities (LMIs). If the conditions are satisfied, then the estimation error i...

LMI conditions for robust adaptive control of MIMO LTI systems

New LMI-Based Conditions for Quadratic Stabilization of LPV Systems

This paper is concerned with quadratic stabilization problem of linear parameter varying LPV systems, where arbitrary time-varying dependent parameters are belonging to a polytope. It provides improved linear matrix inequalityLMIbased conditions to compute a gainscheduling state-feedback gain that makes closed-loop system quadratically stable. The proposed conditions, based on the philosophy of...