Robust H∞ Static Output Feedback Control of Fuzzy Systems: An Ilmi Approach

Stability of Nonlinear Networked Control System with Uncertainties

“…A stabilizing controller in the form of (6) exists, such that the closed-loop sampled-data system in (16) is asymptotically stable if there exist matrices L > 0, R > 0, X ij , Y ij , and K j satisfying where L is determined by (4). The proof is omitted for lack of space.…”

“…They have been used extensively in modern complicated industry processes, aircraft and space shuttles, nuclear power stations, high-performance automobiles, etc. [1,2,4,6,7,[9][10][11][12].…”

Output Tracking Control for Fuzzy Systems via Static-Output Feedback Design

“…In this section, a cone complementarity formulation [7] is used to solve the bilinearity involved in (11). The idea is based on converting the conditions (11) to convex and nonconvex parts and then casting them into an optimization problem subject to some LMIs.…”

“…In any case, the investigation of this topic within the field of fuzzy control is continuously increasing and leading to many approaches. A most efficient approach is based on the Linear Matrix Inequality (LMI) technique: see for example [10][11][12]. Indeed, since the developed interior-point methods [13], LMIs can be solved in polynomial-time, using numerical algorithms [14].…”

An iterative Sum-of-Squares optimization for static output feedback of polynomial systems

“…Several numerical algorithms for nonlinear static output feedback have been proposed in literature. Nonlinear static output feedback results have been derived for fuzzy systems: [13], [14] addresses static output feedback controllers for Takagi-Sugeno fuzzy models with linear and linear time-delay subsystems; for polynomial fuzzy systems a sum-of-squares approach is used in [15]. In [16] a static output feedback method with integral action is proposed for discrete-time polynomial systems.…”