Journal of Intelligent and Robotic Systems
H∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach
Fuzzy Sets and Systems
Observer-based sensor fault detection and isolation for chemical batch reactors
Engineering Applications of Artificial Intelligence
A parameter-dependent Lyapunov approach for the control of nonstationary and hybrid LPV systems
ACC'09 Proceedings of the 2009 conference on American Control Conference
Robust H2performance and design of discrete-time polytopic systems with LFT uncertainty
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Non-common P stability/stabilizaion analysis via multiconvexity approach
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Automatica (Journal of IFAC)
Model decomposition and reduction tools for large-scale networks in systems biology
Automatica (Journal of IFAC)
State-dependent scaling design for a unified approach to robust backstepping
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Atomic optimization. I. Search Space Transformation and One-dimensional Problems
Automation and Remote Control
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A wide variety of problems in control system theory fall within the class of parameterized linear matrix inequalities (LMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. Such problems, though convex, involve an infinite set of LMI constraints and hence are inherently difficult to solve numerically. This paper investigates relaxations of parameterized LMI problems into standard LMI problems using techniques relying on directional convexity concepts. An in-depth discussion of the impact of the proposed techniques in quadratic programming, Lyapunov-based stability and performance analysis, $\mu$ analysis, and linear parameter-varying control is provided. Illustrative examples are given to demonstrate the usefulness and practicality of the approach.