论文信息 - A Convolution Bound Implies Tolerance to Time-variations and Unmodelled Dynamics

A Convolution Bound Implies Tolerance to Time-variations and Unmodelled Dynamics

Recently it has been shown, in several settings, how to carry out adaptive control for an LTI plant so that a convolution bound holds on the closed-loop behavior; this, in turn, has been leveraged to prove robustness of the closed-loop system to time-varying parameters and unmodelled dynamics. The goal of this paper is to show that the same is true for a large class of finite-dimensional, nonlinear plant and controller combinations.

Daniel E. Miller | Mohamad T. Shahab

[1] Daniel E. Miller,et al. Classical pole placement adaptive control revisited: linear-like convolution bounds and exponential stability , 2018, Math. Control. Signals Syst..

[2] B. Anderson,et al. Robust model reference adaptive control , 1986 .

[3] Daniel E. Miller,et al. Multi-Estimator Based Adaptive Control which Provides Exponential Stability: The First-Order Case , 2018, 2018 IEEE Conference on Decision and Control (CDC).

[4] Daniel E. Miller. A parameter adaptive controller which provides exponential stability: The first order case , 2017, Syst. Control. Lett..

[5] Daniel E. Miller. Classical discrete-time adaptive control revisited: Exponential stabilization , 2017, 2017 IEEE Conference on Control Technology and Applications (CCTA).

[6] C. Desoer. Slowly varying discrete system xi+1=Aixi , 1970 .

[7] G. Kreisselmeier. Adaptive control of a class of slowly time-varying plants , 1986 .

[8] Daniel E Miller,et al. Classical d-Step-Ahead Adaptive Control Revisited: Linear-Like Convolution Bounds and Exponential Stability , 2019, 2019 American Control Conference (ACC).

[9] G. Zames. On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .