I have an input instructorControl = new FormControl(); with an autocomplete. The autocompelte subscribes to this.instructorControl.valueChanges.
When a suggestion from the autocomplete is selected or the add button is clicked, the current input value is pushed to an array and the input cleared with this.instructorControl.patchValue('');.
When an autocomplete option is selected, the autocomplete options menu is not opened again. For that, you either have to type something in or refocus the input.
How can I make the autocomplete reopen, when a suggestion is selected?
See this stackblitz. (Updated Sep 18)
app.component.html
  <button md-button (click)="addInstructor()">add</button>
  <md-input-container fxFlex>
    <input mdInput name="instructor" placeholder="instructor" (keydown.enter)="addInstructor()" [mdAutocomplete]="instructorsAuto" [formControl]="instructorControl">
  </md-input-container>
  <md-autocomplete #instructorsAuto="mdAutocomplete">
    <md-option *ngFor="let instructor of filteredInstructors | async" [value]="instructor" (click)="addInstructor()">
      {{ instructor }}
    </md-option>
  </md-autocomplete>
  {{instructors | json}}
app.component.ts
  instructors: string[] = [];
  instructorControl = new FormControl();
  filteredInstructors: Observable<string[]>;
  allInstructors = ['Max', 'Tirrell'];;
  instructorsAuto;
  ngOnInit() {
    this.filteredInstructors = this.instructorControl.valueChanges
      .startWith('')
      .map(value => this.filterInstructors(value));
  }
  addInstructor() {
    const instructor: string = this.instructorControl.value;
    if (instructor) {
      this.instructors.push(instructor);
      this.instructorControl.patchValue('');
    }
  }
  private filterInstructors(value: string = ''): string[] {
    return this.allInstructors.filter(instructor => new RegExp(`${value}`, 'gi').test(instructor));
 
    