scholarly journals Solution of linear systems from an optimal control problem arising in wind simulation

2010 ◽  
Vol 17 (6) ◽  
pp. 895-915 ◽  
Author(s):  
M. Benzi ◽  
L. Ferragut ◽  
M. Pennacchio ◽  
V. Simoncini
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Linear Systems ◽  
Wind Simulation

The Use of Linear Control Laws with Non-Linear Systems

1976 ◽  
Vol 9 (8) ◽  
pp. 301-306
Author(s):  
D. McLean
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Linear Systems ◽  
Linear Control ◽  
Control Laws ◽  
Optimal Regulation ◽  
Non Linear ◽  
Non Linear Systems ◽  
Linear Nature

The problem of providing optimal regulation of non-linear systems has been one of long standing and has been solved usually by empirical techniques with, seemingly, no relief provided by the methods based on the newer theories of control. This paper deals with two methods which both depend on the solution of an optimal control problem, and which take into account the specifically non-linear nature of the plant. The sub-optimal control laws which result are linear and are easily synthesised.

scholarly journals Discounted-cost Linear Quadratic Regulation of Switched Linear Systems

2021 ◽  
Author(s):  
Ma Ruicheng ◽  
Aoxue Xiang
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Linear Systems ◽  
Finite Time ◽  
Time Horizon ◽  
Linear Quadratic Regulator ◽  
Linear Quadratic ◽  
Switched Linear Systems ◽  
Discounted Cost

Abstract In this paper, we will investigate the design of discounted-cost linear quadratic regulator for switched linear systems. The distinguishing feature of the proposed method is that the designed discounted-cost linear quadratic regulator will achieve not only the desired optimization index, but also the exponentially convergent of the state trajectory of the closed-loop switched linear systems. First, we adopt the embedding transformation to transform the studied problem into a quadratic-programming problem. Then, the bang-bang-type solution of the embedded optimal control problem on a finite time horizon is the optimal solution to the original problems. The bang-bang-type solutions of the embedded optimal control problem is to be shown the optimization solution of the studied problem. Then, the computable sufficient conditions on discounted-cost linear quadratic regulator are proposed for finite-time and infinite-time horizon case, respectively. Finally, an example is provided to demonstrate the effectiveness of the proposed method.

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