Multipurpose adaptive control in deterministic multivariable systems

An adaptive control algorithm is presented to achieve the following design objectives: input-output decoupling; complete and arbitrary pole assignment; and some zero assignments in mod z mod >or=1 to deal with the problem of high-order signal tracking. The basic idea of the paper is that, if the realisability can be guaranteed, a multipurpose controller can be obtained directly from the desired transfer-function matrix (or sensitivity-function matrix). With this viewpoint, the diophantine equation can be avoided, so that the algorithm possesses much computational advantage over the existing approaches in adaptive pole-assignment control. As the requirement of realisability is satisfied, this algorithm can easily handle both unstable and nonminimum-phase systems.