Comments on "Design of a single-input system for specified roots using output feedback"

1971 ◽  
Vol 16 (4) ◽  
pp. 384-385 ◽  
Author(s):  
A. Nandi ◽  
J. Herzog ◽  
A. Jameson
Keyword(s):  
Output Feedback ◽  
Input System ◽  
Single Input

Output Feedback of Uncertain Multi-Input Systems

2020 ◽  
pp. 169-198
Author(s):  
Yang Zhu ◽  
Miroslav Krstic
Keyword(s):  
Output Feedback ◽  
Stability Result ◽  
Initial State ◽  
Linear Controller ◽  
Single Input ◽  
The Stability ◽  
Input Delays ◽  
Local Result ◽  
Practical Sense ◽  
Initial Delay

This chapter evaluates output feedback of uncertain multi-input systems. Similar to the case of single-input delay, the result of multi-input delays obtained in the chapter is not global, as it does not believe the problem where the actuator state is not measurable and the delay value is unknown at the same time is solvable globally, since the problem is not linearly parameterized. In a practical sense, the stability result proven in the chapter is not a highly satisfactory result since it is local both in the initial state and in the initial parameter error. This means that the initial delay estimate needs to be sufficiently close to the true delay. Under such an assumption, one might as well use a linear controller and rely on robustness of the feedback law to small errors in the assumed delay value. Nevertheless, the chapter presents the local result here as it highlights quite clearly why a global result is not obtainable when both the delay value and the delay state are unavailable.

Predictor Feedback of Uncertain Single-Input Systems

2020 ◽  
pp. 235-266
Author(s):  
Yang Zhu ◽  
Miroslav Krstic
Keyword(s):  
Output Feedback ◽  
State Feedback ◽  
System Matrix ◽  
Unknown Parameters ◽  
Infinite Dimensional ◽  
Finite Dimensional ◽  
Linear Plant ◽  
Single Input ◽  
Distributed Actuator

This chapter presents the predictor feedback for uncertain single-input systems. This is based on the predictor feedback framework for uncertainty-free single-input systems in the previous chapter. The chapter addresses the five combinations of the five uncertainties that come from a single-input linear plant with distributed actuator delay. These uncertainties include the following types: unknown delay, unknown delay kernel, unknown parameters in the system matrix, unmeasurable finite-dimensional plant state, and unmeasurable infinite-dimensional actuator state. The chapter then studies adaptive state feedback under unknown delay, delay kernel, and parameter. It also assesses robust output feedback under unknown delay, delay kernel, and PDE or ODE state.

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