Flutter-induced vibrations can easily cause large structures like airplanes and bridges to fail, which even today makes flutter prediction an important topic of research. To predict flutter, recursive system identification can be used to capture the time-varying behavior using timeinvariant techniques combined with the forgetting of old data. However, forgetting older data takes time, which int...

Linear Parameter Varying (LPV) systems appear in a form of LTI state space representations where the elements of the A(ρ), B(ρ), C(ρ) matrices depend on an unknown but at any time instant measurable vector parameter ρ ∈ P. This paper describes a geometric view of LPV systems. Geometric concepts and tools of invariant subspaces and algorithms for LPV systems affine in the parameters will be pres...

The asymptotic behaviour is studied for a class of non-linear distributed parameter timevarying dissipative systems. This is achieved by using time-varying infinite-dimensional Banach state space description. Stability criteria are established, which are based on the dissipativity of the system in addition to another technical condition. The general development is applied to semi-linear systems...

A new methodology for the design and implementation of linear parameter varying (LVP) controllers for multi-rate sampled-data systems is presented and its stability properties are analyzed. A controller structure is first proposed for the regulation of multi-rate systems with more measured outputs than inputs. This structure is specially suited for a gain-scheduling implementation that verifies...

A gain-scheduling approach for uncertain Linear Parameter-Varying (LPV) systems with fixed linear fractional relationships on a parameter set is developed. The approach combines LPV theory based on Linear Matrix Inequalities (LMIs) and μ-synthesis to form a new robust approach for large envelope control design. The new approach is used to design an automatically gain-scheduled pitch-rate contro...

The area of analysis and control of linear parameter-varying (LPV) systems has received much recent attention because of its importance in developing systematic techniques for gain-scheduling. An LPV system resembles a linear system that nonlinearly depends on one or more time-varying parameters. Nonlinear systems are often modeled in the LPV system via the parameterized Jacobian linearization....

This paper presents a novel approach to the design of adaptive active vibration isolation systems using linear parameter-varying (LPV) control techniques. The proposed LPV controller is scheduled based on the relative position of the vibrating system, as well as a parameter that characterizes the harshness of the base motion. By scheduling on relative position, the controller is able to shift i...

In this paper a linear parameter-varying (LPV) anti-windup approach is applied to provide anti-windup compensation for adaptive active microgravity vibration isolation. For such systems, anti-windup protection is required because of actuator saturation in response to inertially based forces acting on the isolated platform. For the example presented in the paper, a static anti-windup compensator...

This paper demonstrates the application of the linear parameter-varying (LPV) framework to control a copolymerization reactor. An LPVmodel representation is first developed for a nonlinear model of the process. The LPV model complexity in terms of the model order and the number of scheduling variables is then reduced by truncating those system states that have insignificant direct influence on ...

Reliable and eecient techniques are now available to synthesize gain-scheduled controllers. Such techniques take advantage of Linear Matrix Inequality (LMI) characterizations of gain-scheduled controllers and provide a global and systematic treatment of the gain-scheduling problem. This paper examines how such controller structures, designed in continuous time, can be discretized and implemente...