In this paper, taking the inverted pendulum as an example of nonlinear systems which are not exactly linearizable, we give a controller design method for the system based on approximate linerization. In the method, we try to suppress the effect of the higher order residual terms in choosing the new
On the design of approximate non-linear parametric controllers
β Scribed by Sergio M. Savaresi; Hendrik Nijmeijer; Guido O. Guardabassi
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 231 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1049-8923
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper focuses on the design of non-linear parametric controllers, around a nominal input/output trajectory of a discrete-time non-linear system. The main result provided herein is a relationship between the tracking performance of the closed-loop control system in the neighbourhood of a nominal trajectory, and some local features (the "rst-order linear approximations about the nominal trajectory) of the non-linear mappings which characterize the plant and the feedback controller. Such a result can be used to predict the dynamic behaviour of the control system, and to reduce the computational complexity of the optimization task associated with the tuning of the parametric feedback controller.
π SIMILAR VOLUMES
## Communicated by V. Lvov Approximate solutions of the non-linear Boltzmann equation, which have the structure of the linear combination of three global Maxwellians with arbitrary hydrodynamical parameters, are considered. Some sufficient conditions which allow the error between the left-and the
The paper is concerned with optimal control problem for a non-linear parabolic equation with nonhomogenous boundary condition and quadratic cost. The control is acting in a nonlinear equation. We derive some results on the existence of optimal controls. Then we treat optimal control problem by Galer
In this paper two non-linear control laws for ships are derived by using a non-linear ship model which includes the hydrodynamic e ects due to time-varying speed and wave frequency. The non-linear ship model does not have the structural properties of symmetric inertia and positive damping at high sp
A new technique of approximating design sensitivities of the critical load is presented in this paper. The technique results in stable and reliable estimations of design sensitivities at prebuckling points. Since taking derivatives of an approximated eigenvalue problem gives unstable sensitivities a
We study existence and approximation of solutions for a discrete system. Our approach is based on the notions of collectively compact operators and strict convergence.