Nonlinear control systems: an introduction (2nd ed.)
Nonlinear control systems: an introduction (2nd ed.)
Nonlinear dynamical control systems
Nonlinear dynamical control systems
Algebraic criteria for global stability analysis of non-linear systems
Systems Analysis Modelling Simulation
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Linear System Theory and Design
Linear System Theory and Design
On the Synthesis of a Novel Nonlinear Feedback Control for Nonlinear Input-Affine Systems
CSSIM '09 Proceedings of the 2009 International Conference on Computational Intelligence, Modelling and Simulation
Survey Approximate linearization via feedback - an overview
Automatica (Journal of IFAC)
Synthesis of an approximate feedback nonlinear control based on optimization methods
WSEAS Transactions on Systems and Control
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The present work proposes a new method to the problem of implementation of Input-State feedback linearization. Such method is based on the search of a diffeomorphism which transforms the original nonlinear system into a linear one in the controllable canonical form with an external reference input, and the subsequent using of linear pole-placement techniques. The problem is solved without need of the differential geometric complexity of the feedback linearization technique. It is based however, on an analytical method using the development in to generalized Taylor series of vectorial nonlinear functions and Kronecker product tools. The algebraic developments, we present in this paper, use the Monte Carlo optimization method to choose the best parameters of the polynomial feedback control in order to ensure the effectiveness of the diffeomorphism. A simulation study is synthesized to show the effectiveness of the proposed approach.