# Robust pole placement in LMI regions

@article{Chilali1999RobustPP, title={Robust pole placement in LMI regions}, author={Mahmoud Chilali and Pascal Gahinet and Pierre Apkarian}, journal={IEEE Trans. Autom. Control.}, year={1999}, volume={44}, pages={2257-2270} }

Discusses analysis and synthesis techniques for robust pole placement in linear matrix inequality (LMI) regions, a class of convex regions of the complex plane that embraces most practically useful stability regions. The focus is on linear systems with static uncertainty on the state matrix. For this class of uncertain systems, the notion of quadratic stability and the related robustness analysis tests are generalized to arbitrary LMI regions. The resulting tests for robust pole clustering are…

## 730 Citations

LMI Pole Regions for a Robust Discrete-Time Pole Placement Controller Design

- Mathematics, Computer ScienceAlgorithms
- 2019

The key issue is to determine the appropriate convex approximation to the originally non-convex discrete-time system pole region, so that numerically efficient robust controller design algorithms based on Linear Matrix Inequalities (LMI) can be used.

Harmony search optimization for robust pole assignment in union regions for synthesizing feedback control systems

- Computer Science, MathematicsTrans. Inst. Meas. Control
- 2018

This paper is concerned with robust pole assignment optimization for synthesizing feedback control systems via state feedback or observer-based output feedback in specified union regions using the…

Robust H∞ Control of Robotic System with Parametric Uncertainties based on LMI Pole Placement

- Mathematics2019 First International Symposium on Instrumentation, Control, Artificial Intelligence, and Robotics (ICA-SYMP)
- 2019

This paper proposes a robust pole placement technique based on Linear Matrix Inequality (LMI) regions for nonlinear robotic system with parametric uncertainties. The proposed technique comprises: (i)…

Observer-based robust control of uncertain fuzzy dynamic systems with pole placement constraints: an LMI approach

- Computer Science2006 American Control Conference
- 2006

The idea of the proposed approach is to assign both state and estimation error poles to a desired LMI region and to use the Hinfin technique in order to guarantee that the estimation error converges faster to the equilibrium point zero.

Mixed -based actuator selection for uncertain polytopic systems with regional pole placement

- Engineering, Computer ScienceInt. J. Control
- 2018

This problem formulation allows us to incorporate additional constraints into the designing problem such as regional pole placement constraints which provide more control over the satisfactory transient behaviour and closed-loop pole locations.

Robust pole placement using genetic algorithms

- MathematicsProceedings. International Conference on Machine Learning and Cybernetics
- 2002

This paper presents the application of genetic algorithms (GAs) to the robust pole placement for LTI systems with parameter uncertainties. The robust pole placement approach is firstly converted to a…

Robust Pole Placement for Fuzzy Models with Parametric Uncertainties: An LMI Approach

- Mathematics, Computer ScienceEUSFLAT Conf.
- 2005

This paper deals with analysis and synthesis techniques for robust pole placement in Linear Matrix Inequality (LMI) regions. The class of systems considered here is the continuous TakagiSugeno (T-S)…

ON POLE PLACEMENT IN LMI REGION FOR DESCRIPTOR LINEAR SYSTEMS

- 2012

The problem of robust D admissibility analysis and admissibilization is studied for uncertain descriptor linear systems. Two classes of uncertainties are considered in this paper, i.e., the norm…

Partial Pole Placement with Controller Optimization

- Mathematics, Computer ScienceIEEE Transactions on Automatic Control
- 2012

An arbitrary subset of the (n) closed loop eigenvalues of an nth order continuous time single input linear time invariant system is to be placed using full state feedback, at pre-specified locations in the complex plane to reduce the controller effort leading to less expensive actuators required to be installed in the control system.

Stabilization of Uncertain Singularly Perturbed Systems With Pole-Placement Constraints

- Mathematics, Computer ScienceIEEE Transactions on Circuits and Systems II: Express Briefs
- 2006

This brief considers the problem of stabilization of uncertain singularly perturbed systems with pole-placement constraints by using H infin dynamic output feedback design with developed Hinfin criterion to stabilize the systems for all epsivisin(0,epsiv*).

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