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| Received:February 02, 2007Revised:January 10, 2008 |
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| Direct model reference adaptive control using Kp = LDU factorization for multivariable discrete-time plants |
| Junling LI, Xuejun XIE, Wei CHEN |
| (Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China) |
| Abstract: |
| For a large class of discrete-time multivariable plants with arbitrary relative degrees, the design and analysis of the direct model reference adaptive control scheme are investigated under less restrictive assumptions. The algorithm is based on a new parametrization derived from the high frequency gain matrix factorization Kp = LDU under the condition that the signs of the leading principal minors ofKp are known. By reproving the discrete-time Lp and L2± norm relationship between inputs and outputs, establishing the properties of discrete-time adaptive law, defining the normalizing signal, and relating the signal with all signals in the closed-loop system, the stability and convergence of the discrete-time multivariable model reference adaptive control scheme are analyzed rigorously in a systematic fashion as in the continuous-time case. |
| Key words: Discrete-time systems Swapping lemma L2±-norm Normalizing signal Model reference adaptive control |
