LMI conditions for robust adaptive control of MIMO LTI systems1

LMI conditions for robust adaptive control of MIMO LTI systems

Robust adaptive L2-gain control of polytopic MIMO LTI systems - LMI results

Passification-based direct adaptive control is considered for polytopic uncertain linear time-invariant multi-input multi-output systems. Linear Matrix Inequality based results are provided to guarantee that the adaptive algorithm passifies the system whatever the uncertain parameters in some given set. The contributions are based on the introduction of a parallel feed-forward shunt that libera...

Lmi-based Integration of Robust H∞ -control and Rfd for Lti Systems

In this contribution, problems related to the integrated design of observer-based robust H∞ controller and robust fault detection (RFD) system is studied for uncertain LTI systems with both modelling errors and unknown input. We first propose to use an ideal solution, which is in fact an optimization solution of fault detection filter achieved on the assumption of the system model is perfectly ...

L1 Adaptive Control for Positive LTI Systems

Positive systems represent a class of systems whose state variables are nonnegative. This paper presents an L1 adaptive controller for such systems. The control objective is to force the system output track a given nonnegative reference signal. In the analysis of the L1 adaptive controller, we first show the positivity of the constructed reference system, and then demonstrate that the controlle...

Robust D-stability of uncertain MIMO systems: LMI criteria

The focal point of this paper is to provide some simple and efficient criteria to judge the D-stability of two families of polynomials, i.e., an interval multilinear polynomial matrix family and a polytopic polynomial family. Taking advantage of the uncertain parameter information, we analyze these two classes of uncertain models and give some LMI conditions for the robust stability of the two ...