An event-triggered model predictive control with exponentially stable offset free for PWA systems with model-plant mismatch |
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| Authors: | Bingyun Li Chunyue Song Jun Zhao Zuhua Xu |
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| Institution: | 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;2. School of Mathematics and Physics, Guangxi University for Nationalities, Nanning 530006, China;1. Department of Electrical Engineering, University of Chile, Av. Tupper 2007, Santiago, Chile;2. Departmento de Electricidad, Facultad de Ingeniería, Universidad Teconológica Metropolitana, Av. José Pedro Alessandri 1242, Santiago, Chile;3. Facultad de Ingeniería y Arquitectura, Universidad Central de Chile, Toesca 1783, Santiago, Chile;4. Advanced Mining Technology Center, University of Chile, Av. Tupper 2007, Santiago, Chile;5. Department of Industrial Technologies, University of Santiago of Chile, Av. El Belloto 3735, Santiago, Chile;6. Facultad de Ingeniería y Tecnología, Universidad San Sebastián, Bellavista 7, Santiago 8420524, Chile;7. Escuela de Negocios y Tecnología, Universidad Gabriela Mistral, Av. Ricardo Lyon 1177, Providencia, Santiago, Chile;1. Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education and School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China;2. Huatian Engineering & Technology Corporation, MCC, Ma’anshan 243005, China;3. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China;1. Graduate School of Mechanical and Aerospace Engineering, Gyeongsang National University, 501 Jinjudaero, Jinju 52828, Republic of Korea;2. Department of Electrical Engineering, Hanyang University, 222 Wangsimniro, Seoul 04763, Republic of Korea |
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| Abstract: | A new event-triggered model predictive control (MPC) method is proposed for PWA systems with model-plant mismatch, such that, for a given asymptotically constant reference signal, exponential stability and unbiased tracking can be achieved. Firstly, for the PWA system, an observer is designed to estimate state and the model-plant mismatch. To guarantee the exponential stability, an event is introduced, and an event-triggered model predictive controller is designed as well. By introducing state error and estimate error, an augmented model is constructed. Then, using the model-dependent average dwell time (MDADT) method and Lyapunov stability theory, exponentially stable condition of the closed-loop system is derived, which is formulated by linear matrix inequalities (LMIs), and zero offset is also guaranteed under some mild assumptions. Moreover, the MDADT of each sub-system is given simultaneously. Finally, simulations have been taken to verify the effectiveness of the proposed method. |
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