Correct if I'm wrong. Can these type of BVR missile do twist and turns when its near the target or when the target takes evasive actions.
Does not matter if the missile is BVR or else. As long as the missile has sensor, guidance and control systems, it is capable of maneuvers. The first problem is the closing speed between missile and target. The second problem is what kind of guidance to giver maneuver commands to the controls. The third problem is the integration of the two previous problems into a functional weapon.
For examples...
Proportional navigation, or guidance, is among the more complex to install in any missile. The intention here is weapon autonomy. Or as popularized as 'fire and forget', except that it is often joked as forget about hitting the target. The missile's own sensor suite, whatever it might be, provide the guidance system with target location now and the more complex sensor suite will actually look ahead and calculate the multiple points into a predicted target flight path.
Command line-of-sight (CLoS) require the target to be updated by the launcher, ground or airborne. It is a simple system as far as the weapon is concerned.
Laser Guided Bombs - Smart Weapons
The guidance canards are attached to each quadrant of the control unit to change the flightpath of the weapon. The canard deflections are always full scale (referred to as "bang, bang" guidance).
Bang-bang guidance is when the missile is so near the target that in the event the target attempt to maneuver, any maneuver by the missile has to be immediate and its flight control change rate must be full scale. In other words, if the flight control system is finned to exploit aerodynamics, then fin deflections must be to its max travel at its max rate. If the FLCS is reactor thrust, meaning if there are small rocket ports on the sides to steer the missile, then the thrusts must be full and immediate. Anything less than full fin deflection or thrust and the missile will miss.
There are many more derivatives of these three major guidance-control systems and algorithms. There are engineers who spent their entire careers doing nothing but -- then they retire to the Florida Keys on their paid-off houseboats and wasting away in Margarittaville. The integration of the many guidance-control mechanisms, physical or mathematical, and their sophistication make the weapon either exceptional or just plain junk. Miniaturization of electronics is crucial for obvious reasons.
For the AMRAAM launched from an F-22 -- the missile's initial flight will be under CLoS and the F-22's AESA will be in LPI mode so the victim will not be alerted to scans. It will be continuously updated by the LPI's echoes as its own sensor is silent. Sometime into the flight, and I am not going to say when, the missile will turn on its own sensor and will switch to PN guidance.
At this point, we can have the missile either on its own, or something like this...
By this time the victim will be fully aware of its endangered status so the F-22 might as well turn on its full transmission power. Does not have to, the F-22 pilot could just decide to help. The missile now has
TWO distinct sets of target echoes to correlate, one set from the F-22 and one set from its own radar, greatly increasing the odds of success. Then when the victim maneuvers, bang-bang guidance takes over the missile's FLCS. The transitions between guidance modes must be %99.999 perfect. The missile have finite fuel. Any maneuver it must perform will cost it fuel and time and inevitably increases the odds of a miss. In the even of a miss, bang-bang guidance could be used to quickly reorient the missile to the last known target location, then PN guidance resume to try to reacquire the target again. Sensor fusion will have the missile receive multiple target update from many sources, be it from AWACS or from other fighters radar scanning the same victim.
I believe our missiles are the best and the readers can just dismiss my opinion. This is just to give interested readers
BASIC background information to the extremely complex discipline of missile guidance and controls. Most of these algorithms are top secret that carry heavy prison time, not just US but anyone else capable of producing these weapons. Of course, just because they are 'top secret' does not mean they are all equal in sophistication.