Dzięki za pomoc ale już znalazłem rozwiązanie, wystarczy dodać w tomcat-users.xml wpis np:
<user name="kaziuuu" password="kaziuuu" roles="kaziuuu" />
A następnie w pliku web.xml aplikacji np:
<!-- Define a Security Constraint on this Application -->
<security-constraint>
<web-resource-collection>
<web-resource-name>Some operation</web-resource-name>
<url-pattern>/InputServlet</url-pattern>
</web-resource-collection>
<auth-constraint>
<!-- NOTE: This role is not present in the default users file -->
<role-name>kaziuuu</role-name>
</auth-constraint>
</security-constraint>
<!-- Define the Login Configuration for this Application -->
<login-config>
<auth-method>BASIC</auth-method>
<realm-name>Tomcat Host Manager Application</realm-name>
</login-config>
<!-- Security roles referenced by this web application -->
<security-role>
<description>
The role that is required to log in to the Application
</description>
<role-name>kaziuuu</role-name>
</security-role>
`</code>`