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主要针对受约束的连续时间广义预测控制,通过引入不同于有限时域性能指标的无穷时域1-范数性能指标,并对其施加不影响控制目标的终端等式约束,确定出了无穷时域性能指标的一个上界,从而将不可解的带约束的优化问题转化为可解的优化问题。最后证明了准无穷时域性能指标方法能够保证受约束的连续时间广义预测控制闭环系统的稳定性。仿真例子证明了算法的有效性。
This paper mainly focuses on the constrained continuous-time generalized predictive control. By introducing the infinite 1-norm performance index which is different from the finite time-domain performance index and imposing terminal equation constraints that do not affect the control target, the infinite-time An upper bound of the domain performance index, so that the unresolved constrained optimization problem can be transformed into a solvable optimization problem. Finally, it is proved that quasi-infinite time-domain performance index method can ensure the stability of the constrained continuous-time generalized predictive control closed-loop system. The simulation example proves the effectiveness of the algorithm.