Computation,Approximation andStability ofExplicit
نویسندگان
چکیده
This paper presents an approximate multi-parametric Nonlinear Programming (mp-NLP) approach to explicit solution of feedback min-max NMPC problems for constrained nonlinear systems in the presence of bounded disturbances and/or parameter uncertainties. It is based on an orthogonal search tree structure of the state space partition and consists in constructing a piecewise nonlinear (PWNL) approximation to the optimal sequence of feedback control policies. Conditions guaranteeing the robust stability of the closed-loop system in terms of a finite l2-gain are derived.
منابع مشابه
Modified Physical Optics Approximation for RCS Calculation of Electrically Large Objects with Coated Dielectric
The Radar Cross Section of a target plays an important role in the detection of targets by radars. This paper presents a new method to predict the bistatic and monostatic RCS of coated electrically large objects. The bodies can be covered by lossy electric and/or magnetic Radar Absorbing Materials (RAMs). These materials can be approximated by the Fresnel reflection coefficients. The pro...
متن کاملWidth invariant approximation of fuzzy numbers
In this paper, we consider the width invariant trapezoidal and triangularapproximations of fuzzy numbers. The presented methods avoid the effortful computation of Karush-Kuhn-Tucker Theorem. Some properties of the new approximation methods are presented and the applicability of the methods is illustrated by examples. In addition, we show that the proposed approximations of fuzzy numbers preserv...
متن کاملEfficient Approximation Algorithms for Point-set Diameter in Higher Dimensions
We study the problem of computing the diameter of a set of $n$ points in $d$-dimensional Euclidean space for a fixed dimension $d$, and propose a new $(1+varepsilon)$-approximation algorithm with $O(n+ 1/varepsilon^{d-1})$ time and $O(n)$ space, where $0 < varepsilonleqslant 1$. We also show that the proposed algorithm can be modified to a $(1+O(varepsilon))$-approximation algorithm with $O(n+...
متن کاملGDOP Classification and Approximation by Implementation of Time Delay Neural Network Method for Low-Cost GPS Receivers
Geometric Dilution of Precision (GDOP) is a coefficient for constellations of Global Positioning System (GPS) satellites. These satellites are organized geometrically. Traditionally, GPS GDOP computation is based on the inversion matrix with complicated measurement equations. A new strategy for calculation of GPS GDOP is construction of time series problem; it employs machine learning and artif...
متن کاملNumerical Computation of Rolling Resistance Based on the Result of Tire/Road Static Contact Analysis
Among various dissipating mechanisms, the viscoelastic effect of rubber material on creation of rolling resistance is responsible for 10-33% dissipation of supplied power at the tire/road interaction surface. So, evaluating this kind of loss is very essential in any analysis concerned with improving the fuel consumption of vehicles and resultantly energy savage. Hysteretic loss is a fraction of...
متن کامل