The paper deals with dynamic feedback linearization of continuous time a2ne systems. A constructive procedure based on prolongations is proposed. Based on necessary geometric conditions, the algorithm computes a set of prolongation indices. c © 2004 Elsevier B.V. All rights reserved.

In this lecture, we investigate the existence of a state feedback control and a change of coordinates that transform a nonlinear control system affine in the inputs into an equivalent linear system. The treatment corresponds to selected parts from Chapter 9 in [1], Chapter 13 in [2], and Chapter 4 in [3].

The problem of robust stabilization of nonlinear systems with feedback linearizable nominal part and norm-bounded nonlinear uncertainties is investigated. Necessary and sufficient conditions are obtained for robust stabilization of such systems. A design procedure is developed which combines feedback linearization technique and quadratic stabilization via linear feedback to achieve robust globa...

Many control applications require the use of both symbolic and numeric computation. An illustrative example is the analysis and controller design of a mechanical system. To begin with, we need to compute the equations of motion. To study local stability we need to compute its linearization. To apply control concepts like feedback linearization we may need to compute the inverse system. All thes...

3 System Control 12 3.1 PID Controller . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.2 Direct Inverse Control and Optimal Control . . . . . . . . . . . . 12 3.3 Feedback Linearization . . . . . . . . . . . . . . . . . . . . . . . . 13 3.4 Nonlinear Predictive Control . . . . . . . . . . . . . . . . . . . . 13 3.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

Linearization of the input}output response of a nonlinear system via state feedback has found many applications in control of nonlinear processes. However, in the presence of uncertainties, this approach leads to inexact linearization and results in the loss of performance and stability. In this paper, a controller design methodology is developed based on input/output linearization and multi-ob...

Abstract. This paper presents a feedback linearization-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among susceptible and infected. The control objective is novel ...

The relation between the solvability of the disturbance decoupling problem for a nonlinear system and its linearization around a working point is investigated. It turns out that generically the solvability of the disturbance decoupling via regular dynamic state feedback is preserved under linearization. This result gives a partial interpretation of introducing integral action in classical PID-c...

An input/output feedback linearization control strategy is developed for control of three-level three-phase neutral-point-clamped rectifier using its dual Lagrangian modeling. The load current of the rectifier can be given in two forms: (i) the load current involving the current of capacitor C1 (ii) the load current involving the current of capacitor C2. Applying the obtained load current to th...