Geometric Theory and Control of Linear Parameter Varying Systems

: 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 can depend on an unknown but at any time instant measurable vector parameter ρ∈P. This parameter can be a function of time or state variables. In the latter case we speak about quasi LPV (qLPV) systems. In some cases the parameters represent constant but unknown uncertainties or an external time signals. These properties show relations to the theory of uncertain systems with parametric uncertainties and to the theory of LTV systems, too. It can also be shown that many input affine nonlinear system representations and swiched linear systems can be rewritten also in the form of qLPV systems. These system representations appear in many modeling and control problems related to aerospace or vehicle system applications. The application of LPV system representations appeared in relation to aerospace control and it represents a systematic approac...

• Type: Conference
• Year: 2007
• Where: SACI
• Authors: Jozsef Bokor
• Keywords: Applied Computational Intelligence, LPV Systems, Parameters, SACI 2007, Systems