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3  Subjects and Subject Classes
            84

            forces are applied at proper wheels. This device has
            been introduced as a  mass product (especially  in      O
            Europe) after the infamous “moose tests” of a Swed-      F fr
            ish journalist with a brand new type of vehicle.   F fl
              He was able to topple  over  this vehicle toward
            the end  of a  maneuver intended to avoid collision
            with a moose on the road; the first sharp turn did not   cg a
            do any serious harm. Only the combination of three
            sharp turns in opposite directions at a certain fre-  F
            quency in  resonance  with the eigenfrequencies of   rl  b Tr  F
            the car suspension produced this effect. Again, this          rr
            indicates how important knowledge of dynamic be-
                                                         Figure 3.15. Frictional and
            havior of the car and “maneuvers” as stereotypical   inertial forces yield torques
            control sequences can be.                    around all axes; in curves,


            3.4.3 Basic Modes of Control Defining Skills


            In general, there are two components of control activation involved in intelligent
            systems. If a payoff function is to be optimized by the maneuver, previous experi-
            ence will have shown that certain control time histories perform better than others.
            It is essential knowledge for good or even optimal control of dynamic systems to
            know, in which situations what type of maneuver should be performed with which
            set of parameters; usually, the maneuver is defined by certain time histories of (co-
            ordinated) control input. The unperturbed trajectory corresponding to this nominal
            feed-forward control time history is also known, either stored or computed in par-
            allel by numerical integration of the dynamic  model exploiting the given initial
            conditions and the nominal control input. If perturbations occur, another important
            knowledge component is how to link additional control  inputs to the deviations
            from  the nominal (optimal) trajectory to counteract the perturbations effectively
            (see Figure 3.7). This has led to the classes of feed-forward and feedback control in
            systems dynamics and control engineering:

            1. Feed-forward components U ff derived from a deeper understanding of the proc-
               ess controlled and the maneuver to be performed.
            2. Feedback components u fb to force the trajectory toward the desired one despite
               perturbations or poor models underlying step 1.

            3.4.3.1 Feed-forward Control: Maneuvers

            There are classes of situations for which the same (or similar) kinds of control laws
            are useful; some parameters in these control laws may be adaptable depending on
            the actual states encountered.
            Heading change maneuvers: For example, to perform a change in driving direc-
            tion, the control time history input displayed in  Figure  3.13 is  one of a generic
            class of realizations. It has three phases with constant steering rate, two of the same
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