Interval estimation for continuous-time LPV switched systems

Abstract

This paper deals with interval state estimation for continuous-time linear parameter varying (LPV) switched systems with measured polytopic parameter dependence, assuming a known switching signal. Considering that the measurement noise and the state disturbance are unknown but bounded and that the dynamics of the system are described by a convex combination, lower and upper bounds of the state are therefore determined. An interval observer is designed in order to guarantee both stability and cooperativity of the upper and lower observation errors. For the proposed observer, sufficient input-to-state stability conditions are given in terms of linear matrix inequalities, adopting firstly common quadratic Lyapunov functions, under arbitrary switching signals and secondly multiple quadratic Lyapunov functions, under average dwell time (ADT) switching signals. The efficiency of the proposed interval observer is highlighted through simulation results on academic examples.

Keywords:

• Interval observer
• continuous-time LPV switched systems
• cooperative dynamics
• polytopic parameter dependence
• Lyapunov theory
• average dwell time

Disclosure statement

No potential conflict of interest was reported by the author(s).