Abstract
The problem of designing a perfect adaptive control law for controlling the nonminimum phase discrete-time tracking system, which represents an aircraft autotracking radar, obtained by sampling a continuous-time system is proposed. The main goal is to achieve high performance indices of this class of systems. A new adaptive digital controller consisting of the adaptive feedback in conjunction with adaptiveindirect feedforward circuits is proposed. Obtained results can be useful for autotracking radar design.
Highlights
The main function of such a system is determination of aircraft’s current angular coordinates. Dynamic accuracy of such systems is defined by the current angular error between direction to the aircraft to be tracked and to the radar antenna axis
Contrary to the minimum phase case, the development of stable adaptive control scheme for nonminimum phase plants is hampered by the singularity that may occur when the identification algorithm leads to appearing uncontrollable estimated plant description [8]
The continuous part of the aircraft autotracking radar containing the amplifier together with the DC motor in series is assumed to be a third-order plant whose transfer function is given by k W0 (s) s( 1s 1)( 2s 1), (1)
Summary
Creation of digital tracking systems on the basis of radar stations is one of perspective trend in the area of radio location. Contrary to the minimum phase case, the development of stable adaptive control scheme for nonminimum phase plants is hampered by the singularity that may occur when the identification algorithm leads to appearing uncontrollable estimated plant description [8]. For overcoming this intrinsic difficulty, two different approaches were advanced by several researches. The existing adaptive controllers contain no feedforward circuits to compensate this error This reflects the fact that adaptive identification algorithms do not guarantee the convergence of parameter estimates to their true values when persistence of excitation is absent, in general. The main effort is focused on establishing the stability of the designed system that is not obvious and on studying its ultimate behavior
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