We consider stability analysis and state feedback synthesis for Linear Parameter Varying (LPV) systems. LPV systems are de"ned as linear systems whose dynamics depend on exogenous time-varying parameters. Stability analysis of LPV systems involves testing the stability of a family of possible parameter trajectories. Similarly, stabilization and optimal control of LPV systems involves constructi...

Nonlinear plants can often be modelled as linear parameter varying (LPV) plants for which a number of techniques exist for control synthesis. However, there are some systems for which such a technique presents difficulties. In this paper, we consider one such system for which we propose a pole placement method using state feedback in order to cancel parameters variation of LPV plants. Hence, an...

This paper applies a model reduction method for linear parameter-varying (LPV) systems based on parameter-varying balanced realization techniques to a body freedom flutter (BFF) vehicle. The BFF vehicle has a coupled short period and first bending mode with additional structural bending and torsion modes that couple with the rigid body dynamics. These models describe the BFF vehicle dynamics wi...

This chapter examines the estimation of multivariable linear models for which the parameters vary in a time-varying manner that depends in an affine fashion on a known or otherwise measured signal. These locally linear models which depend on a measurable operating point are known as linear parameter varying (LPV) models. The contribution here relative to previous work on the topic is that in th...

In this paper the necessary and sufficient conditions are given for the solution of a system of parameter varying linear inequalities of the form A (t)x ≥ b (t) for all t ∈ T , where T is an arbitrary set, x is the unknown vector, A (t) is a known triangular Toeplitz matrix and b (t) is a known vector. For every t ∈ T the corresponding inequality defines a polyhedron, in which the solution shou...