Jing Li David Niemann Hua O. Wang Department of Electrical and Computer Engineering Duke University, Durham, NC 27708, U.S.A Abstract This paper deals with control design for the motion control of high-rise/high-speed elevators. Two main problems, tracking and releveling, are treated in the framework of output regulation problem. By doing this, we design a single controller satisfying both perf...

This paper studies the H control problem for a nonlinear large-scale system with unknown disturbance. In the large-scale system, each subsystem “without” nonlinear interconnections and disturbance is transformed into a T-S fuzzy system. Moreover, based on a linear decomposition, the nonlinear interconnection corresponding to each subsystem is decomposed to a linear weighting interconnection wh...

This paper presents L 2 gain controller synthesis for the fuzzy T-S model (Takagi-Sugeno). Both the state-feedback controller and the output feedback controller are discussed. They are in the format of PDC (parallel distributed compensation) controller which is essentially a nonlinear controller. Based on the bounded-real lemma, the synthesis procedure is expressed in LMI conditions which can b...

The tensor product (TP) based models have been applied widely in approximation theory, and approximation techniques. Recently, a controller design framework working on dynamic systems have also been established based on TP model transformation combined with Linear Matrix Inequalities (LMI) within Parallel Distributed Compensation (PDC) framework. The effectiveness of the control design framewor...

This study investigates H∞ finite-time synchronization (HFTS) problems for a general class of chaotic systems with external disturbances. The HFTS includes two control objectives; one is the finite-time synchronization and the other is the H∞ minimization. Here, the finite-time synchronization means the finite-time stabilization of the error system between the master and slave chaotic systems, ...

The Takagi-Sugeno (T-S) fuzzy multiple-variable integral control system with fuzzy state observer is designed for the coordinated control of multi-input-multi-output (MIMO) nonlinear boilerturbine system whose operating points vary within a wide range. Linear models are first derived from the original nonlinear model on several operating points. Next the fuzzy multi-variable integral controller...

In this study, an omnidirectional inverted pendulum (ODIP) is controlled based on a dual Takagi-Sugeno (TS) fuzzy control scheme. The ODIP handmade system. It contains two subsystems. lower mechanism system includes brushless rim motor, platform, batteries, and encoder. upper mainly composed of circuit system, motor fixed flywheel. proposed controller combines approaches for with disturbances u...

This paper deals with the fuzzy based H∞ control problem for time-delay affine Takagi-Sugeno (T-S) fuzzy models. A class of nonlinear time-delay systems is approximated by a time-delay affine T-S fuzzy model in this paper. Based on LyapunovRazumikhin theorem and S-procedure, the stability and stabilization problems are solved by employing a Parallel Distributed Compensation (PDC) type H∞ fuzzy ...

This paper focuses on the non-fragile guaranteed cost control problem for a class of T-S fuzzy time-varying delay systems with local bilinear models. The objective is to design a non-fragile guaranteed cost state feedback controller via the parallel distributed compensation (PDC) approach such that the closed-loop system is delay-dependent asymptotically stable and the closed-loop performance i...

Abstract—This paper proposes the analysis and design of robust fuzzy control to Stochastic Parametrics Uncertaint Linear systems. This system type to be controlled is partitioned into several linear sub-models, in terms of transfer function, forming a convex polytope, similar to LPV (Linear Parameters Varying) system. Once defined the linear sub-models of the plant, these are organized into fuz...