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This paper proposes a fuzzy tracking control design for Takagi-Sugeno (T-S) fuzzy systems. T-S fuzzy model is used to represent the nonlinear systems subject to external disturbance. Based on Lyapunov's direct method, the model reference tracking control scheme based on the augmented system is proposed and a nonlinear control law is derived with robust H∞ performance. Sufficient condition is derived...
A nonlinear controller based on polynomial eigen-structure assignment (PEA) is presented for a class of nonlinear systems. In this paper, the PEA approach used for LTI and LPV models is extended to QLTV model to realize the desired control performance of closed-loop system. With PEA approach, the eigenstructure assignment for the controller can be completed without imposing any particular eigenvalues...
We propose a method to compute provably invariant subsets of the region-of-attraction for the asymptotically stable equilibrium points of uncertain nonlinear dynamical systems. We consider polynomial dynamics with perturbations that either obey local polynomial bounds or are described by uncertain parameters multiplying polynomial terms in the vector field. This uncertainty description is motivated...
This paper establishes sufficient conditions for absolute stability of time-varying control systems. The proposed conditions extend in a simple way the classical Popov criterion to time-varying memoryless nonlinearities, using previous results of Kharitonov. They are expressed in terms of linear matrix inequalities (LMIs). A weaker frequency domain criterion is deduced, leading to a simple graphical...
For a class of nonlinear systems depicted by the cascade connection of a static nonlinearity and a linear dynamic system, the influence of unmeasured disturbances and unmodeled dynamics on the performance of the previously proposed control weighted suboptimal control law [3] is analyzed. A simple robust adaptation scheme is presented to implement adaptively the suboptimal control law which ensures...
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