scholarly journals Suboptimality in linear control systems with time delay

1982 ◽  
Vol 23 (4) ◽  
pp. 428-437
Author(s):  
W. L. Chan
Keyword(s):  
Control Systems ◽  
Performance Index ◽  
Optimal Solution ◽  
Linear Control ◽  
Linear Control Systems ◽  
Linear Quadratic Control ◽  
A Posteriori ◽  
Linear Quadratic ◽  
Elementary Methods ◽  
And Control

AbstractFor the linear quadratic control problem with delay, a lower bound for the performance index is obtained by elementary methods. Using this bound, two important a posteriori error estimates are derived. The first one measures the deviation of the performance index while the second is for the deviation of the state and control variables from the optimal solution.

scholarly journals Where Freshness Matters in the Control Loop: Mixed Age-of-Information and Event-Based Co-Design for Multi-Loop Networked Control Systems

2020 ◽  
Vol 9 (3) ◽  
pp. 43
Author(s):  
Mohammad H. Mamduhi ◽  
Jaya Prakash Champati ◽  
James Gross ◽  
Karl H. Johansson
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Networked Control ◽  
Linear Control Systems ◽  
Control Loop ◽  
Linear Quadratic ◽  
Event Based ◽  
And Control ◽  
Randomized Policies ◽  
Age Of Information

In the design of multi-loop Networked Control Systems (NCSs), wherein each control system is characterized by heterogeneous dynamics and associated with a certain set of timing specifications, appropriate metrics need to be employed for the synthesis of control and networking policies to efficiently respond to the requirements of each control loop. The majority of the design approaches for sampling, scheduling, and control policies include either time-based or event-based metrics to perform pertinent actions in response to the changes of the parameters of interest. We specifically focus in this article on Age-of-Information (AoI) as a recently-developed time-based metric and threshold-based triggering function as a generic Event-Triggered (ET) metric. We consider multiple heterogeneous stochastic linear control systems that close their feedback loops over a shared communication network. We investigate the co-design across the NCS and discuss the pros and cons with the AoI and ET approaches in terms of asymptotic control performance measured by Linear-Quadratic Gaussian (LQG) cost functions. In particular, sampling and scheduling policies combining AoI and stochastic ET metrics are proposed. It is argued that pure AoI functions that generate decision variables solely upon minimizing the average age irrespective of control systems dynamics may not be able to improve the overall NCS performance even compared with purely randomized policies. Our theoretical analysis is validated through several simulation scenarios.

Fractional Vector-Order h-Realisation of the Impulse Response Function

2020 ◽  
Vol 14 (2) ◽  
pp. 108-113
Author(s):  
Ewa Pawłuszewicz
Keyword(s):  
Control Systems ◽  
Impulse Response ◽  
Response Function ◽  
Impulse Response Function ◽  
Linear Control ◽  
Linear Control Systems

AbstractThe problem of realisation of linear control systems with the h–difference of Caputo-, Riemann–Liouville- and Grünwald–Letnikov-type fractional vector-order operators is studied. The problem of existing minimal realisation is discussed.

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