Stable MPC Design for Hybrid Mixed Logical Dynamical Systems: l∞-based Lyapunov Approach

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Olama A.; SHASADEGHI M.; RAMEZANI A.

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Paper Information

Journal: TABRIZ JOURNAL OF ELECTRICAL ENGINEERING Year:2021 | Volume:50 | Issue:4 (94) Page(s): 1735-1744

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Title

Stable MPC Design for Hybrid Mixed Logical Dynamical Systems: l∞-based Lyapunov Approach

Author(s)

Olama A. | SHASADEGHI M. | RAMEZANI A. | Issue Writer Certificate

Keywords

Model predictive control

Mixed logical dynamical system

Mixed integer programming

Abstract

There are two main challenges in control of hybrid systems which are to guarantee the closed-loop stability and reduce computational complexity. In this paper, we propose the exponential stability conditions of hybrid systems which are described in the Mixed Logical Dynamical (MLD) form in closed-loop with Model predictive control (MPC). To do this, it is proposed to use the decreasing condition of infinity norm based Lyapunov function instead of imposing the terminal equality constraint in the MPC formulation of MLD system. The exponential stability conditions have a better performance from both implementation and computational points of view. In addition, the exponential stability conditions of the equilibrium point of the MLD system do not depend on the prediction horizon of MPC problem which is the main advantage of the proposed method. On the other hand, by using the decreasing condition of the Lyapunov function in the MPC setup, the suboptimal version of the control signal with reduced complexity is obtained. In order to show the capabilities of the proposed method, the stabilization problem of the car suspension system is studied.

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APA: Copy

Olama, A., SHASADEGHI, M., & RAMEZANI, A.. (2021). Stable MPC Design for Hybrid Mixed Logical Dynamical Systems: l∞-based Lyapunov Approach. TABRIZ JOURNAL OF ELECTRICAL ENGINEERING, 50(4 (94) ), 1735-1744. SID. https://sid.ir/paper/966184/en

Vancouver: Copy

Olama A., SHASADEGHI M., RAMEZANI A.. Stable MPC Design for Hybrid Mixed Logical Dynamical Systems: l∞-based Lyapunov Approach. TABRIZ JOURNAL OF ELECTRICAL ENGINEERING[Internet]. 2021;50(4 (94) ):1735-1744. Available from: https://sid.ir/paper/966184/en

IEEE: Copy

A. Olama, M. SHASADEGHI, and A. RAMEZANI, “Stable MPC Design for Hybrid Mixed Logical Dynamical Systems: l∞-based Lyapunov Approach,” TABRIZ JOURNAL OF ELECTRICAL ENGINEERING, vol. 50, no. 4 (94) , pp. 1735–1744, 2021, [Online]. Available: https://sid.ir/paper/966184/en

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