制御工学ブログ / Control Engineering Blog

制御工学の基礎から専門まで、動画・MATLABコード付きで解説。20年以上の研究経験をもつ大学教員が運営。Control engineering tutorials, research articles, and MATLAB code by a university researcher. Topics: LMIs, state estimation, model error compensator, multirate systems, observer design.

Research

LMI Optimization Based Multirate Steady-State Kalman Filter Design

An LMI-based design framework for multirate steady-state Kalman filters using cyclic reformulation. Addresses the semidefinite measurement noise covariance in systems with sensors at different sampling rates (e.g., GPS at 1 Hz + wheel spee…

Estimation of Robust Invariant Set for Switched Linear Systems Using Recursive State Updating and Robust Invariant Ellipsoid

Estimation of robust invariant set for discrete-time switched linear systems with peak-bounded disturbances. A novel method combining recursive state updating and robust invariant ellipsoid achieves less conservative estimation.

Design of Observer-Based Feedback Controller for Multi-Rate Systems With Various Sampling Periods Using Cyclic Reformulation

Observer-based feedback controller design for multi-rate systems where sensors and actuators operate at different sampling rates. Using cyclic reformulation and LMI optimization of the l2-induced norm, both observer gains and feedback gain…

System Identification Under Multirate Sensing Environments

System identification algorithm for multirate sensing environments using cyclic reformulation and subspace identification. Proposes a method to identify plant models from input-output data when sensors have different sampling rates, withou…

Cyclic Reformulation-Based System Identification for Periodically Time-Varying Systems

This article explains cyclic reformulation-based system identification for LPTV systems. A subspace identification method with state coordinate transformation recovers periodic time-varying parameters without requiring periodic inputs. Bas…

Tracking Performance Limitation for 1-DOF Control Systems Using a Set of Attainable Outputs

This article explains the tracking performance limitation for 1-DOF control systems with unstable plants, extending the achievable-output-set approach from 2-DOF systems. The closed-form result separates the contributions of unstable zeros…

Model Error Compensator Design for Continuous- and Discrete-Time Non-Minimum Phase Systems with Polytopic-Type Uncertainties

This article explains the MEC design with parallel feedforward compensator for MIMO non-minimum phase systems with polytopic uncertainties, based on SICE JCMSI 2022. LMI-based H-infinity analysis for both continuous- and discrete-time syst…

A Design Method of Model Error Compensator for Systems with Polytopic-Type Uncertainty and Disturbances

This article explains a design method for the Model Error Compensator (MEC) for systems with polytopic-type uncertainty and disturbances, based on SICE JCMSI 2021. LMI-based H-infinity analysis combined with particle swarm optimization ena…

Model Error Compensator with Parallel Feed-Forward Filter

This article explains the Model Error Compensator (MEC) with a parallel feed-forward filter (PFF) for non-minimum-phase plants with unstable zeros and time delays, based on SICE JCMSI 2017. Design methods for PFF and compensator using PSO …

A Design Method of Compensator to Minimize Model Error

This article explains a compensator design method that minimizes the modeling gap between a nominal model and the actual plant, proposed in SICE JCMSI 2013. The compensator includes the nominal model internally and feeds back the output di…

Dynamic Quantizer Design under Communication Rate Constraints

This article explains the dynamic quantizer design method for networked control systems under communication rate constraints, published in IEEE Transactions on Automatic Control (2016). The method combines invariant set analysis and partic…

A Design Method of Delta-Sigma Data Conversion System with Pre-Filter

This article explains a design method for delta-sigma data conversion systems with a pre-filter that separately handles quantization noise and signal distortion. The pre-filter and post-filter are designed using particle swarm optimization…

Performance Limitation of Tracking Control Problem for a Class of References

Analyzes performance limitations in tracking control for non-minimum phase systems. It derives fundamental bounds on achievable tracking accuracy and explains how unstable zeros impose unavoidable constraints on transient and steady-state …

State Estimation Method Using Median of Multiple Candidates for Observation Signals Including Outliers

This article explains the MCV (Median of Candidate Vectors) observer, a state estimation method robust to sensor outliers. Multiple estimation candidates are created along the time axis, and the median operation selects one unaffected by o…

State Observer Under Multi-Rate Sensing Environment and Its Design Using l2-Induced Norm

This article explains the design of a periodically time-varying state observer for multi-rate sensing systems, based on our IEEE ACCESS 2023 paper. LMI-based synthesis via periodic Lyapunov matrices is detailed with numerical examples and …