论文标题
针对部分观察到的线性高斯系统的安全有效的开关控制器设计
Safe and Efficient Switching Controller Design for Partially Observed Linear-Gaussian Systems
论文作者
论文摘要
切换控制策略将潜在的高性能但未得到认证的控制器和稳定的控制器结合在一起，尽管保守的控制器能够与效率平衡安全性，但在对国家的部分观察下进行了较少的研究。为了解决这一差距，我们为具有可证明性能保证的部分线性高斯系统提出了一个切换控制策略。我们表明，从某种意义上说，提出的切换策略既安全有效，又是有效的：（1）即使原始未认证的控制器不稳定，系统的线性季节成本也始终是有限的； （2）在未经认证的控制器稳定的情况下，由切换的保守性诱导的性能损失会超过指数呈零收敛。还通过田纳西伊士曼进程的数值模拟来证明开关策略的有效性。
Switching control strategies that unite a potentially high-performance but uncertified controller and a stabilizing albeit conservative controller are shown to be able to balance safety with efficiency, but have been less studied under partial observation of state. To address this gap, we propose a switching control strategy for partially observed linear-Gaussian systems with provable performance guarantees. We show that the proposed switching strategy is both safe and efficient, in the sense that: (1) the linear-quadratic cost of the system is always bounded even if the original uncertified controller is destabilizing; (2) in the case when the uncertified controller is stabilizing, the performance loss induced by the conservativeness of switching converges super-exponentially to zero. The effectiveness of the switching strategy is also demonstrated via numerical simulation on the Tennessee Eastman Process.
