Journal ArticleDOI
Pole assignment for uncertain systems in a specified disk by state feedback
Germain Garcia,J. Bernussou +1 more
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TLDR
A necessary and sufficient condition for quadratic d stabilizability by output feedback is presented in terms of two parameter-dependent Riccati equations whose solutions satisfy two extra conditions.Abstract:
This paper presents a method for assigning the poles in a specified disk by state feedback for a linear discrete or continuous time uncertain system, the uncertainty being norm bounded. For this the "quadratic d stabilizability" concept which is the counterpart of quadratic stabilizability in the context of pole placement is defined and a necessary and sufficient condition for quadratic d stabilizability derived. This condition expressed as a parameter dependent discrete Riccati equation enables one to design the control gain matrix by solving iteratively a discrete Riccati equation. >read more
Citations
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Journal ArticleDOI
H/sub /spl infin// design with pole placement constraints: an LMI approach
M. Chilali,Pascal Gahinet +1 more
TL;DR: 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).
Journal ArticleDOI
Robust pole placement in LMI regions
TL;DR: 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, and describes the effectiveness of this robust pole clustering technique.
Journal ArticleDOI
Dynamic Output Feedback-Fault Tolerant Controller Design for Takagi–Sugeno Fuzzy Systems With Actuator Faults
TL;DR: A fuzzy-augmented fault estimation observer (AFEO) design is proposed to achieve fault estimation of T-S models with actuator faults and an observer-based dynamic output feedback-fault tolerant controller (DOFFTC) is designed to compensate for the effect of faults by stabilizing the closed-loop system.
Journal ArticleDOI
Fault Estimation Observer Design for Discrete-Time Takagi–Sugeno Fuzzy Systems Based on Piecewise Lyapunov Functions
Ke Zhang,Bin Jiang,Peng Shi +2 more
TL;DR: This paper studies the problem of robust fault estimation (FE) observer design for discrete-time Takagi-Sugeno (T-S) fuzzy systems via piecewise Lyapunov functions through a novel framework of the FE observer with less conservatism.
Journal ArticleDOI
Integrated Fault Estimation and Accommodation Design for Discrete-Time Takagi–Sugeno Fuzzy Systems With Actuator Faults
Bin Jiang,Ke Zhang,Peng Shi +2 more
TL;DR: A multiconstrained reduced-order FE observer (RFEO) is proposed to achieve FE for discrete-time T-S fuzzy models with actuator faults and a new approach for fault accommodation based on fuzzy-dynamic output feedback is designed.
References
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A stabilization algorithm for a class of uncertain linear systems
TL;DR: In this paper, the authors present an algorithm for the stabilization of a class of uncertain linear systems, which is described by state equations which depend on time-varying unknown-but-bounded uncertain parameters.
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Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
TL;DR: In this article, a notion of quadratic stabilizability is defined and the Lyapunov function and the control are constructed using only the bounds ℛ,L.
Journal ArticleDOI
H/sub infinity / control and quadratic stabilization of systems with parameter uncertainty via output feedback
TL;DR: In this paper, the robust H/sub infinity / control problem of designing a linear dynamic output feedback controller such that the closed-loop system is quadratically stable and achieves a prescribed level of disturbance attenuation for all admissible parameter uncertainties is considered.
Book
The Riccati Equation
TL;DR: In this paper, a geometrical view of the Matrix Riccati Equation and corresponding matrix Riemannian Eigenvalue Methods are presented, as well as the solution of the Periodic and Continuous and Discrete Time Algebraic Riccaci Equations.