Feedback linearization of anonlinear systemis to find a nonsingular feedback and a state transformation such that the closed-loop system is linear in the new state coordinates. For the nonlinear control systems
In order to make a modal analysis and a control design of such a system, we need to linearize the nonlinear dynamic equations of the system. However, the differentiation process could be overwhelming due to the strong coupling and nonlinear relationships between the variables. A direct ...
2.1 The objective function is nonlinear and nonconvex. As with L2OR , the optimal hyperplane is defined by bT x, y 0. Let rij be the L1 residual for component j of observation i. Also, let a b 1, where 1 is a vector of 1's, so that all aj variables are nonnegative. This ...
The extended Kalman filter (EKF) is a suboptimal estimator of the conditional mean and covariance for nonlinear state estimation. It is based on first order Taylor series approximation of nonlinear state functions. The unscented Kalman filter (UKF) and the ensemble Kalman filter (EnKF) are suboptim...
The proposed PFL method has been implemented into a partially linearized form of a nonlinear system, where the transformed system has been made autonomous and reduced in order. All calculations in the proposed method except for the control laws have been carried out offline resulting in reduced ...
In this chapter, we discuss the linearization of a nonlinear control system with output. Linearization with output equation requires that both input-state and input-output relationships are linear.Lee, Hong-GiChung-Ang University
This study proposes the use of a nonlinear controller that performs five tasks concurrently: cargo hoisting, trolley tracking, bridge motion, payload vibration suppression during transport, and cargo swing elimination at the destination. The proposed algorithm is combined with two control components: (i...
Many practical applications need the model of fan to be linearized. And the result is scribed in the paper which adopts the theory of linearization clan to deal with the relationships of the flow and pressure on nonlinear fan model. First, fan is given as a nonlinear object, and then is ...
Many applications give rise to nonlinear eigenvalue problems with an underlying structured matrix polynomial. In this paper several useful classes of structured polynomials (e.g., palindromic, even, odd) are identified and the relationships between them explored. A special class of linearizations ...
A bank of complex gain elements is used to provide a step-wise approximation of an arbitrary complex-gain predistortion function for a nonlinear transmitter. The bank of gain elemen