Journal ArticleDOI
A new discrete-time robust stability condition
TLDR
In this paper, a new robust stability condition for uncertain discrete-time systems with convex polytopic uncertainty is given, which enables to check stability using parameter-dependent Lyapunov functions which are derived from LMI conditions.About:
This article is published in Systems & Control Letters.The article was published on 1999-07-26. It has received 1456 citations till now. The article focuses on the topics: Lyapunov equation & Lyapunov function.read more
Citations
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Journal ArticleDOI
A Survey on Analysis and Design of Model-Based Fuzzy Control Systems
TL;DR: A survey on recent developments (or state of the art) of analysis and design of model based fuzzy control systems based on the so-called Takagi-Sugeno fuzzy models or fuzzy dynamic models.
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Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
TL;DR: The approach followed in this paper looks at the existence of a switched quadratic Lyapunov function to check asymptotic stability of the switched system under consideration and shows that the second condition is, in this case, less conservative.
Journal ArticleDOI
The scenario approach to robust control design
TL;DR: A rich family of control problems which are in general hard to solve in a deterministically robust sense is therefore amenable to polynomial-time solution, if robustness is intended in the proposed risk-adjusted sense.
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LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
TL;DR: This paper presents the stabilization analysis for a class of nonlinear systems that are represented by a Takagi and Sugeno (TS) discrete fuzzy model using new control laws and new nonquadratic Lyapunov functions.
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Robust stability and stabilization for singular systems with state delay and parameter uncertainty
TL;DR: A strict linear matrix inequality (LMI) design approach is developed that solves the problems of robust stability and stabilization for uncertain continuous singular systems with state delay via the notions of generalized quadratic stability and generalizedquadratic stabilization.
References
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Book
Robust and Optimal Control
TL;DR: This paper reviewed the history of the relationship between robust control and optimal control and H-infinity theory and concluded that robust control has become thoroughly mainstream, and robust control methods permeate robust control theory.
Book
Robust Control: The Parametric Approach
TL;DR: This theory allows us to determine if a linear time invariant control system, containing several uncertain real parameters remains stable as the parameters vary over a set and nicely complements the optimal theories as well as Classical Control and considerably extends the range of possibilities available to the control specialist.
Journal ArticleDOI
Affine parameter-dependent Lyapunov functions and real parametric uncertainty
TL;DR: These LMI-based tests are applicable to constant or time-varying uncertain parameters and are less conservative than quadratic stability in the case of slow parametric variations, and they often compare favorably with /spl mu/ analysis for time-invariant parameter uncertainty.
Journal ArticleDOI
Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
TL;DR: In this article, the authors investigated the problem of computing mu in the case of mixed real parametric and complex uncertainty and showed that the problem is equivalent to a smooth constrained finite-dimensional optimization problem.
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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.