On the stability of two-step predictive controller based on state observer

doi:10.1016/S1004-4132(06)60024-8

Journal of Systems Engineering and Electronics ›› 2006, Vol. 17 ›› Issue (1): 132-137.doi: 10.1016/S1004-4132(06)60024-8

• CONTROL THEORY AND APPLICATION • Previous Articles Next Articles

On the stability of two-step predictive controller based on state observer

Cao Muliang, Wu Zhiming, Ding Baocang & Wang Chuanxu

1. Inst. of Automation, Shanghai Jiaotong Univ. , Shanghai 200030, P. R. China;
2. Inst. of Automation, Hebei Univ. of Technology, Tianjin 300130, P. R. China;
3. Inst. of Automation, Qingdao Univ. of Science and Technology, Qingdao 266042, P. R. China

Online:2006-03-24 Published:2019-12-19

Abstract

Abstract:

For input saturated Hammerstein systems, the two-step predictive control strategy is adopted. The first step calculates the desired intermediate variable applying unconstrained linear model and predictive control. The second step obtains the real-time control action by solving algebraic equation and desaturation. The case of immeasurable state is considered where the observer gain matrix is solved by Sylvester equation. The sufficient closed-loop stability condition is given and the designing and tuning algorithm for the domain of attraction is proposed. The theoretical results are validated by an example.

Key words: input nonlinearity, two-step predictive control, state observer, stability, domain of attraction

Cao Muliang, Wu Zhiming, Ding Baocang & Wang Chuanxu. On the stability of two-step predictive controller based on state observer[J]. Journal of Systems Engineering and Electronics, 2006, 17(1): 132-137.

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On the stability of two-step predictive controller based on state observer

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