Design of asynchronous switched Takagi–Sugeno model‐based <i>H</i> _∞ filters with nonlinear consequent parts for switched nonlinear systems

This paper investigates the design of asynchronous switched nonlinear H ∞ $$ {H}_{\infty } filters for a class continuous-time systems with mismatching switching laws and L 2 {L}_2 norm-bounded disturbances. In this context, system is modelled as Takagi–Sugeno (T-S) model consequent parts, that is, where unmeasured terms are kept in parts order to circumvent occurrence premise variables, which usually faced conventional T-S modeling without parts. framework, proposed estimate and/or disturbed system's outputs, even when filter's law mismatches one, can be practice unknown or imprecisely measured. Based on candidate multiple Lyapunov function, combined criterion, conditions Linear Matrix Inequalities considered Compared previous related works, these have advantage being dwell-time-independent less conservative, thanks incremental quadratic constraints employed deal Furthermore, acknowledging models only representing ones subsets their state space, an optimization procedure filtering error's domain attraction developed. Two illustrative examples validate results. An academic one presented illustrate improvements brought conservatism by filter methodology regards studies. Then, case study illustrates effectiveness proposal from mass-spring inspired literature.