Given: s (s + the position control system uses unity feedback. a lead compensator (with gain) in the discrete domain so that the resulting closed-loop system satisfies the following specifications: (i) steady-state error to unit ramp input s 0.04 (ii) phase margin 45% add an adc and a dac (zoh) and design discrete controller g(z) using frequency design methods. this discrete system has a sampling period of 0.01 sec.

Determine the time of the day and month of the year at which the peak sensible cooling load occurs for a top floor, north-eastern corner room of an office building in durban for the following conditions: floor area: 8 x 8 x 3 m east and north walls: 115 mm face brick (outside), 20 mm air space, 115 mm ordinary brick (inside) with 15 mm plaster roof construction: suspended plasterboard ceiling, 450 mm air space, 150 mm concrete, 75mm screed, waterproofing no heat transfer across other surfaces window area 3x 1,5 m high in north wall only. ordinary glass with venetian blinds. lights and occupants : from 07: 00 to 18: 00 average light density: 25 w/m2 number of occupants : 5 seated, light office work room temperature 24°c