Model reduction with a finite horizon H-infinity criterion

1997 ◽  
Author(s):  
M. Subrahmanyam ◽  
Saroj Biswas ◽  
M. Subrahmanyam ◽  
Saroj Biswas
Keyword(s):  
Model Reduction ◽  
Finite Horizon ◽  
H Infinity

Model Reduction with a Finite Horizon H Criterion

1999 ◽  
Vol 22 (2) ◽  
pp. 251-257 ◽  
Author(s):  
M. Bala Subrahmanyam ◽  
Saroj K. Biswas
Keyword(s):  
Model Reduction ◽  
Finite Horizon

scholarly journals Reliable H-Infinity Fusion Estimation of Time-Delayed Nonlinear Systems With Energy Constraints: The Finite-Horizon Case

2021 ◽  
Author(s):  
Meiling Xie ◽  
Derui Ding ◽  
Guoliang Wei ◽  
Xiaojian Yi
Keyword(s):  
Sensor Networks ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Schur Complement ◽  
Finite Horizon ◽  
Linear Matrix ◽  
H Infinity ◽  
Energy Constraints ◽  
Time Varying Systems ◽  
Fusion Scheme

Abstract The fusion estimation issue of sensor networks is investigated for nonlinear time-varying systems with energy constraints, time-delays as well as packet loss. For the addressed problem, some local estimations are first obtained by using the designed Luenberger-type local estimator and then transmitted to a fusion center (FC) to generate a desired fusion value, where two classes of channels, whose schedules are governed by a diagonal matrix, are utilized to perform the information transmission. With the help of the Lyapunov stability theory, sufficient conditions are established to ensure the predetermined local and fused H-infinity performances over a finite horizon. Furthermore, by virtue of the well-known Schur complement lemma, the desired gains of local estimators and the suboptimal fusion weight matrices are obtained in light of the solution of linear matrix inequalities. It should be pointed out that the developed scheme is a two-step process under which the design of fusion weight matrices is based on the obtained estimator gains. Finally, a simulation example for sensor networks is performed to check the effectiveness of the proposed fusion scheme.

scholarly journals Finite-Horizon H-Infinity Control for Time-Varying State-Saturated Systems under Stochastic Communication Protocol

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Kewang Huang ◽  
Feng Pan
Keyword(s):  
Model Transformation ◽  
Controller Design ◽  
Communication Protocol ◽  
Finite Horizon ◽  
Time Varying ◽  
Transformation Technique ◽  
H Infinity ◽  
Stochastic Parameters ◽  
H Infinity Control ◽  
Data Collision

In this paper, the H∞ control problem is investigated for a class of time-varying state-saturated systems with both stochastic parameters and nonlinearities under the stochastic communication protocol (SCP). The sensor-to-controller network is considered where only one sensor can obtain access to the communication network at each transmission instant. The SCP is adopted to mitigate the undesirable data collision phenomenon. The model transformation technique is employed to simplify the addressed problem, and then, the completing squares method is carried out to obtain a sufficient condition for the existence of the finite-horizon H∞ controller. The controller parameters are characterized by solving two coupled backward recursive Riccati-like difference equations. A simulation example is finally utilized to illustrate the effectiveness of the proposed controller design scheme.

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