
planmäßig
on schedule
Taking place exactly according to a previously established plan, timetable, or program.
Der Zug erreichte sein Ziel planmäßig um 18:30 Uhr.
The train reached its destination on schedule at 6:30 p.m.
scheduled / according to plan
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on schedule
Taking place exactly according to a previously established plan, timetable, or program.
Der Zug erreichte sein Ziel planmäßig um 18:30 Uhr.
The train reached its destination on schedule at 6:30 p.m.

systematically
Carried out in a systematic and well-considered way; proceeding with a plan.
Die Sanierung des Gebäudes erfolgte planmäßig in mehreren Bauabschnitten.
The renovation of the building was carried out systematically in several construction phases.
The word is made up of 'Plan' (plan) and the ending '-mäßig'. The ending '-mäßig' means 'according to' or 'in accordance with', so 'planmäßig' literally means 'according to the plan'.
Die Bauarbeiten verlaufen bisher absolut planmäßig.
The construction work has been proceeding completely according to plan so far.
'Planmäßig' is very often used as an adverb to describe how an action is carried out. It answers the question 'How?'.
Wir sind planmäßig um 14 Uhr in Berlin angekommen.
We arrived in Berlin on schedule at 2 p.m.
In connection with timetables and schedules, 'planmäßig' is often combined with verbs of movement or sequence. Typical phrases are: 'planmäßig ankommen' (to arrive on schedule), 'planmäßig starten' (to start on schedule), or 'planmäßig enden' (to end on schedule).
Das Meeting begann planmäßig um Punkt 9 Uhr.
The meeting began on schedule at exactly 9 o'clock.
systematic
Systematisch emphasizes the methodical order of an approach. Planmäßig emphasizes more strongly that something happens according to a previously established plan, schedule, or program. A process can be both; the choice of word depends on whether the method or adherence to the plan is important.

Der Techniker beginnt die Prüfung der Maschine planmäßig um acht Uhr.
The technician begins checking the machine at eight o’clock as scheduled.
Der Techniker prüft systematisch alle Teile der Maschine in derselben Reihenfolge.
The technician systematically checks all the machine’s parts in the same order.