I have implemented AutoLayout programmatically using the Code :
- (void)addConstraintWithListNavigationViewController:(UIView *)listViewNavigation y:(CGFloat)y height:(CGFloat)height
{
    //WIDTH_ListTableView = 0.4
    //set x = 0;
    NSLayoutConstraint *constraintToAnimate1 = [NSLayoutConstraint constraintWithItem:listViewNavigation
                                                                            attribute:NSLayoutAttributeLeft
                                                                            relatedBy:NSLayoutRelationEqual
                                                                               toItem:self.view
                                                                            attribute:NSLayoutAttributeLeft
                                                                           multiplier:0.00
                                                                             constant:0];
    [self.view addConstraint:constraintToAnimate1];
    //set y = y;
    NSLayoutConstraint *constraintToAnimate2 = [NSLayoutConstraint constraintWithItem:listViewNavigation
                                                                            attribute:NSLayoutAttributeTop
                                                                            relatedBy:NSLayoutRelationEqual
                                                                               toItem:self.view
                                                                            attribute:NSLayoutAttributeBottom
                                                                           multiplier:0.00
                                                                             constant:y];
    [self.view addConstraint:constraintToAnimate2];
    //set Width = self.view.frame.size.width*0.4
    NSLayoutConstraint *constraintToAnimate3 = [NSLayoutConstraint constraintWithItem:listViewNavigation
                                                                            attribute:NSLayoutAttributeWidth
                                                                            relatedBy:NSLayoutRelationEqual
                                                                               toItem:self.view
                                                                            attribute:NSLayoutAttributeWidth
                                                                           multiplier:1-WIDTH_ListTableView
                                                                             constant:0.0];
    [self.view addConstraint:constraintToAnimate3];
    //Set height = height
    NSLayoutConstraint *constraintToAnimate4 = [NSLayoutConstraint constraintWithItem:listViewNavigation
                                                                            attribute:NSLayoutAttributeHeight
                                                                            relatedBy:NSLayoutRelationEqual
                                                                               toItem:nil
                                                                            attribute:NSLayoutAttributeNotAnAttribute
                                                                           multiplier:0.00
                                                                             constant:height];
    [self.view addConstraint:constraintToAnimate4];
}
And this works perfect, but every-time this ViewController receives a Notification, it will run:
[self.view layoutIfNeeded];
But I want to set the width of listViewNavigation according a boolean variable connected.
if(connected){
        listViewNavigation.view.frame.size.width = 0.4 * self.view.frame.size.width;
    }
    else{
        listViewNavigation.view.frame.size.width = 0.6 * self.view.frame.size.width;
    }
But i do not know how can I update the NSLayoutConstraint :
NSLayoutConstraint *constraintToAnimate3 = [NSLayoutConstraint constraintWithItem:PreView
                                                                            attribute:NSLayoutAttributeWidth
                                                                            relatedBy:NSLayoutRelationEqual
                                                                               toItem:self.view
                                                                            attribute:NSLayoutAttributeWidth
                                                                           multiplier:1 - WIDTH_ListTableView
                                                                             constant:0.0];
[self.view addConstraint:constraintToAnimate3];
when this ViewController receive the notification.
I think you have 2 options.
Option 1 Keep a property
@property (strong,nonatomic)NSLayoutConstraint *constraintToAnimate3;
Then use this property to
self.constraintToAnimate3 = [NSLayoutConstraint constraintWithItem:PreView
                                                                        attribute:NSLayoutAttributeWidth
                                                                        relatedBy:NSLayoutRelationEqual
                                                                           toItem:self.view
                                                                        attribute:NSLayoutAttributeWidth
                                                                       multiplier:1
                                                                         constant:-1 * 0.4 * self.view.frame.size.width];
[self.view addConstraint:self.constraintToAnimate3];
When you want to change
if(connected){
    self.constraintToAnimate3.constant = -1 *0.6 * self.view.frame.size.width;
}
else{
    self.constraintToAnimate3.constant = -1 *0.4 * self.view.frame.size.width;
}
[UIView animateWithDuration:yourduration animations:^{
    [self.view layoutIfNeeded];
}];
Option 2 Set an identifier of constraintToAnimate3
constraintToAnimate3.identifier = @"1234"
Then search to get the constraint
NSLayoutConstraint * constraint3 = nil;
NSArray * constraints = self.view.constraints;
for (NSLayoutConstraint * constraint in constraints) {
    if ([constraint.identifier isEqualToString:@"1234"]) {
        constraint3 = constraint;
        break;
    }
}
Then change the constant as shown in Option1
Update: If use constant in the code I post
PreView.frame.size.with = self.view.size.width * multiplier + constant
                        OK, I figure out.
[self.view removeConstraint:self.constraintOld];
[self.view addConstraint:self.constraintNew];
[UIView animateWithDuration:time animations:^{
    [self.view layoutIfNeeded];
}];
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