Robust pole placement in LMI regions

  title={Robust pole placement in LMI regions},
  author={Mahmoud Chilali and Pascal Gahinet and Pierre Apkarian},
  journal={IEEE Trans. Autom. Control.},
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… 
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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
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H∞ design with pole placement constraints: an LMI approach
This paper addresses the design of state- or output-feedback H/sub /spl infin// controllers that satisfy additional constraints on the closed-loop pole location by derived in terms of linear matrix inequalities (LMIs).
Controller design with regional pole constraints
A design procedure is developed that combines linear-quadratic optimal control with regional pole placement. Specifically, a static and dynamic output-feedback control problem is addressed in which
H/sub /spl infin// design with pole placement constraints: an LMI approach
  • M. Chilali, P. Gahinet
  • Mathematics, Computer Science
    Proceedings of 1994 33rd IEEE Conference on Decision and Control
  • 1994
This paper addresses the design of H/sub /spl infin// controllers that satisfy an additional constraint on the closed-loop pole location that is expressed as a system of linear matrix inequalities (LMI).
State space measures of robustness of pole locations for structured and unstructured perturbations
Abstract Measures of pole location robustness for linear feedback systems are derived from a state space model of the system. The robustness tests ensure that the eigenvalues of the perturbed systems
Robust Eigenstructure Assignment with Structured State Space Uncertainty
Recent sufficient conditions for robust stability and robust performance of linear time-invariant systems subject to structured state-space uncertainty are utilized to obtain a robust eigenstructure
Robust pole assignment in linear state feedback
Numerical methods are described for determining robust, or well-conditioned, solutions to the problem of pole assignment by state feedback. The solutions obtained are such that the sensitivity of the
Affine parameter-dependent Lyapunov functions and real parametric uncertainty
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An H-inifinity control law design is presented for a benchmark problem consisting of an undamped pair of spring-coupled masses with a sensor and actuator that are not collocated. This simple
LMI-based controller synthesis: A unified formulation and solution
This paper proposes a unified approach to linear controller synthesis that employs various LMI conditions to represent control specifications. We define a comprehensive class of LMIs and consider a
Multiobjective output-feedback control via LMI optimization
An overview of a linear matrix inequality (LMI) approach to the multiobjective synthesis of linear output-feedback controllers is presented and the validity of this approach is illustrated by a realistic design example.