scholarly journals H ∞ Output-Feedback Gain-Scheduled Control for Discrete-Time Linear Systems Affected by Time-Varying Parameters * *Supported by the Brazilian agencies CAPES, CNPq (Proc. 132220/2015-6), and FAPESP (Proc. 2014/22881-1)

2017 ◽  
Vol 50 (1) ◽  
pp. 8618-8623 ◽  
Author(s):  
Tábitha E. Rosa ◽  
Cecília F. Morais ◽  
Ricardo C.L.F. Oliveira
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Output Feedback ◽  
Feedback Gain ◽  
Time Varying ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Gain Scheduled ◽  
Time Linear

filtering for discrete-time linear systems with bounded time-varying parameters

2010 ◽  
Vol 90 (1) ◽  
pp. 282-291 ◽  
Author(s):  
Renato A. Borges ◽  
Ricardo C.L.F. Oliveira ◽  
Chaouki T. Abdallah ◽  
Pedro L.D. Peres
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Time Varying ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Time Linear

State Feedback Gain Scheduling for Linear Systems With Time-Varying Parameters

2005 ◽  
Vol 128 (2) ◽  
pp. 365-370 ◽  
Author(s):  
Vinícius F. Montagner ◽  
Pedro L. D. Peres
Keyword(s):  
Linear Systems ◽  
State Feedback ◽  
Gain Scheduling ◽  
State Feedback Control ◽  
Feedback Gain ◽  
Structural Constraints ◽  
Time Varying ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Parameter Dependent

This paper addresses the problem of parameter dependent state feedback control (i.e. gain scheduling) for linear systems with parameters that are assumed to be available (measured or estimated) in real time and are allowed to vary in a compact polytopic set with bounded variation rates. A new sufficient condition given in terms of linear matrix inequalities permits to determine the controller gain as an analytical function of the time-varying parameters and of a set of constant matrices. The closed-loop stability is assured by means of a parameter dependent Lyapunov function. The condition proposed encompasses the well-known quadratic stabilizability condition and allows to impose structural constraints such as decentralization to the feedback gains. Numerical examples illustrate the efficiency of the technique.

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