NGMV Control Toolbox

Toolbox Commands

The commands of the NGMV Control Toolbox can be grouped into several layers, from the low-level functions to the controller synthesis routines and Simulink models. These are described in the following paragraphs:

Layer 1: Basic Operations on Polynomials.   The first layer contains the basic operations on polynomials represented as vectors of coefficients. The continuous-time polynomials are arranged according to decreasing powers of s, whereas the discrete-time polynomials - according to increasing powers of z^-1. Operations on polynomial matrices, on the other hand, make use of the Polynomial Toolbox.

Factorized polynomial representation	dispc, dispd
Basic operations like addition and convolution	add, addz, mconv, order, orderz, mirrorz, polypower
Preprocessing	trimc, trimz, rev, cfe, dcfe, madj, madjz, shiftz

Layer 2: More advanced operations.   Equation solvers and auxiliary routines,

• toep, toepz, dio1, dio2, dio1z, dio2z, diosym, ghdio1z

Factorizations,

• spfc, spfz, ltl

Layer 3: Controller synthesis.   The third layer of the toolbox contains controller synthesis routines for both linear and nonlinear systems.

• ngmvc, gmvc, dlqgc, ngmvffc, nqgmvc, ...

Layer 4: Simulation and Display.   The fourth layer contains Simulink utilities and plotting functions

• siggen, randomize, nlss, simplots

See Functions -- By Category for a complete list of available functions.

Overview

An Introductory Example Application