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A dynamic system consisting of a finite number of lumped elements may be described by ordinary differential equations in which time is the independent variable. Equation 2—14 is the state equation of the linear,time-invariant system and Equation 2—15 is the output equation for the same system.

Engenharia de controle moderno (Book, ) []

Citations are based on reference standards. Engenharia de Sistemas de Controle. Please choose whether or not you want other users to be able to see on your profile that this library is a favorite of yours. The E-mail Address es field is required.


Please select Ok if you would like to proceed with this request anyway. You already recently rated this item. We assume that the system is linear. Practically,however,because higher-order cntrole terms are inaccurate,due to the noise effects inherent in any practical situations,such a choice of the state variables may not be desirable. Please enter recipient e-mail address es. Notice that is equal to the characteristic polynomial of G s.

Parte 6 de 6. Note that the right-hand side of Equation 2—29 involves Hence G s can be written as whereQ s is a polynomial in s.

One way to obtain a state equation and output equation for this case is to define the followingnvariables as a set of nstate variables:. Finding libraries that hold this item Preview this item Preview this item.

In this state-space representation,matrices AandCare exactly the same as those for the system of Equation 2— Advanced Search Find a Library. You may have already requested this ofata. Write a review Rate this item: In this case,Equations 2—12 and 2—13 can be simplified to.

Engenharia de Controle Moderno – Katsuhiko Ogata – 5 Edição – PDF Free Download

Cpntrole vector functions fandgdo not involve time texplicitly then the system is called a time-invariant system. Please re-enter recipient e-mail address es. The external force u t is the input to the system,and the displacement y t of the mass is the output.


Consider the following nth-order system:. Your list has reached the maximum number of items.

Assume that there are rinputs and moutputs Define. Please enter your name. This system is a single-input,single-output engenharka. Please verify that you are not a robot.

Engenharia de Controle Moderno – Katsuhiko Ogata – 5 Edição

With the present choice of state variables,we obtain where is given by. The name field is required. In this book we shall be concerned mostly with systems described by Equations 2—14 and 2— Noting that the knowledge of together with the input u t for t!