Consider a second-order nonlinear system described by à1 = a – x2, i2 = -1 - a1 + (1+ x3)u, y = x1 + 2x1x2. (a) Find all q equilibrium points xe,1, Xe,2;,..., xe.g of the system and the corresponding outputs Y0,1, Y0,2, . , Y0,g when the input u has a nominal value uo = 1. (b) For each i E {1,2,...,q}, linearize the system around the operating point (xe,i, u0, Yo,i).

Consider a second-order nonlinear system described by à1 = a – x2, i2 = -1 - a1 + (1+ x3)u, y = x1 + 2x1x2. (a) Find all q equilibrium points xe,1, Xe,2;,..., xe.g of the system and the corresponding outputs Y0,1, Y0,2, . , Y0,g when the input u has a nominal value uo = 1. (b) For each i E {1,2,...,q}, linearize the system around the operating point (xe,i, u0, Yo,i).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.1: Introduction To Systems Of Linear Equations

Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...

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