Abstract
On the basis of the fuzzy T-S (Takagi-Sugeno) model, we propose a robust model predictive control for a class of nonlinear systems with constraint inputs. The upper bound of predictive cost is derived; the constraints on stability and inputs are transformed into linear matrix inequalities (LMIs), which can be easily solved. Thus we adopt a parallel distributed compensation (PDC) controller in the scheme. Sufficient conditions of moving horizon optimization are derived based on LMIs and Lyapunov function, and consequently the stability of closed-loop systems is proved. The simulation results verify the effectiveness of the proposed method.
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References
Cao, Y.Y., Lin, Z.L.: Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation. IEEE Transactions on Fuzzy Systems, 57–67 (January 2003)
Kothare, V.: Manfred Morari. Robust constrained model predictive control using linear matrix inequalities. Autom.-Atica, 1361–1379 (October 1996)
Mayne, D.Q., Rawlings, J.B., Rao, C.V., Scokaert, P.O.M.: Constrained model predictive control: stability and optimality. Automatica, 789–814 (April 2000)
Lu, Y.: A scheduling quasi-min-max model predictive control algorithm for nonlinear system. Journal of Process Control, 589–604 (December 2002)
Wang, H.O., Tanaka, K., Griffin, M.F.: An approach to fuzzy control of nonlinear systems: Stability and Design Issues. IEEE Trans. Fuzzy Systems, 14–23 (January 1996)
Tanaka, K., Sugeno, M.: Stability analysis and design of fuzzy control systems. Fuzzy Sets Systems, 135–156 (February 1992)
Ma, X.J., Sun, Z.Q.: Analysis and design of fuzzy controller and fuzzy observer. IEEE Trans. Fuzzy Systems, 41–51 (January 1998)
Wu, Z.: Robust quadratic stable control for nonlinear system based on T-S model. Electric Machines and Control 7(1), 34–37 (2003)
Jadbabaie, A., Hauser, J.: Control of the Caltech Ducted Fan in forward flight a receding Horizon-LPV approach. In: Proc. ACC, Arlingyon, pp. 1333–1338 (2001)
Wan, E.A., Bogdanov, A.A.: Model predictive neural control with applications to a 6 DOF helicopter model. In: Proc. ACC, Arlingyon, pp. 488–493 (2001)
Amato, F., Mattei, M., Pironti, A.: A robust stability problem for discrete-time systems subject to an uncertain parameter. Automatica, 521–523 (April 1998)
Zhao, J., Goreg, R., Wertz, V.: Synthesis of fuzzy control systems with desired performance. Proceedings of the 1996 IEEE International, Dearbon, pp. 115–120 (1996)
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Li, Y., Qiu, Y., Zhang, J. (2011). Robust Model Predictive Control for Nonlinear Systems. In: Jin, D., Lin, S. (eds) Advances in Computer Science, Intelligent System and Environment. Advances in Intelligent and Soft Computing, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23756-0_38
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DOI: https://doi.org/10.1007/978-3-642-23756-0_38
Publisher Name: Springer, Berlin, Heidelberg
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