Robust Stabilizing Controller Synthesis Based on Discrete-time Noncausal Linear Periodically Time-varying Scaling

Discrete-Time Noncausal Linear Periodically Time-Varying Scaling for Robustness Analysis and Controller Synthesis

Since modeling of real plants inevitably gives rise to modeling errors regarded as uncertainties, considering robustness for the uncertainties is important in actual control problems. For tackling issues of analyzing robust stability of closed-loop systems in a less conservative fashion, the μ-analysis method is known to be effective. As an alternative approach to robust stability analysis, on ...

Noncausal linear periodically time-varying scaling for discrete-time systems

A novel technique called noncausal linear periodically time-varying (LPTV) scaling was introduced recently, and it was shown that even static noncausal LPTV scaling has an ability of inducing frequency-dependent scaling if it is interpreted in the context of the conventional scaling approach. Motivated by this preceding study of ours, this paper studies to exploit this attractive property and d...

LMI-based Periodically Time-Varying Dynamical Controller Synthesis for Discrete-Time Uncertain Linear Systems

In this paper, we propose a new LMI-based method for robust state-feedback controller synthesis of discrete-time linear periodic/time-invariant systems subject to polytopic uncertainties. In stark contrast with existing approaches that are confined to static controller synthesis, we explore dynamic controller synthesis and reveal a particular periodically timevarying dynamical controller struct...

Further Results on Periodically Time-Varying Dynamical State-Feedback Controller Synthesis for Discrete-Time Linear Systems

In this paper, we enhance the quality of our preceding results on periodically time-varying dynamical state-feedback controller (PTVDSFC) synthesis for discrete-time linear periodic/time-invariant systems. We firstly revisit PTVDSFC synthesis for uncertainty-free systems and derive necessary and sufficient LMI conditions for the existence of the desired PTVDSFCs. Based on these LMIs, we next co...

Properties of discrete-time noncausal linear periodically time-varying scaling and their relationship with shift-invariance in lifting-timing