Hybrid L∞×ℓ∞-performance analysis and control of linear time-varying impulsive and switched positive systems

2021 ◽  
Vol 39 ◽  
pp. 100980
Author(s):  
Corentin Briat
Keyword(s):  
Performance Analysis ◽  
Linear Time ◽  
Time Varying ◽  
Positive Systems ◽  
Switched Positive Systems ◽  
And Control

Optimal Control for Partially Observed Nonlinear Interval Systems

2019 ◽  
Vol 141 (9) ◽  
Author(s):  
T. E. Dabbous
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Control Problem ◽  
Linear Time ◽  
Control Process ◽  
Extension Principle ◽  
Time Varying ◽  
State Observation ◽  
Partially Observed ◽  
And Control

In this paper, we consider the optimal control problem for a class of systems governed by nonlinear time-varying partially observed interval differential equations. The control process is assumed to be governed by linear time varying interval differential equation driven by the observed process. Using the fact that the state, observation, and control processes possess lower and upper bounds, we have developed sets of (ordinary) differential equations that describe the behavior of the bounds of these processes. Using these differential equations, the interval control problem can be transformed into an equivalent ordinary control problem in which interval mathematics and extension principle of Moore are not required. Using variational arguments, we have developed the necessary conditions of optimality for the equivalent (ordinary) control problem. Finally, we present some numerical simulations to illustrate the effectiveness of the proposed control scheme.

Sign in / Sign up

Export Citation Format

Share Document