Reduced-Order $H_\infty$ Filter Design for Delta Operator Systems Over Multiple Frequency Intervals

Fuzzy reduced-order filtering for nonlinear parabolic PDE systems with limited communication

“…Many nonlinear systems are multi-input and multi-output systems [33][34][35][36][37] , which the system models are often complex and diverse, how to design simple controllers/filters to meet the corresponding needs. Recently, Su et al [38] proposed a reduced-order filter (ROF) design method, namely, the order of the ROF is lower than the original plant, which will be more favorable for the real-time filtering procedure because some redundancy and extra calculation can be effectively avoided by this filter [39,40] . However, as far as the author knows, there is little work on the design of fuzzy ROF for PDE systems, which arouses the author' s interest.…”

Low frequency Lagrange stabilization for pendulum‐like systems

“…By considering finite frequency characteristics involved in the system, better control performance is expected to be acquired. 14 A generalized Kalman-Yakubovich-Popov (KYP) lemma, 15 which establishes a bridge between finite frequency domain inequalities and time-domain matrix inequalities, has been developed to guarantee gain performances in finite frequency domain. 16 Note that the generalized KYP lemma has been applied to finite frequency specification analysis of systems with nonlinear phenomena; see References 17-19 and the references therein.…”