Nonlinear Output Feedback Control for Linear Systems with Input Saturation

Akasaka, Daisuke; Liu, Kang‐Zhi

doi:10.3182/20080706-5-kr-1001.02563

Cited by 4 publications

(3 citation statements)

References 7 publications

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“…Inspired from references [18] and [19], an additional supervisory rule is needed to govern the mode switches on the basis of an ordinary continuous feedback function. With the non-linear multimode characteristics of the actuator (equation (2)) considered, the control input is constructed as…”

Section: Wheel-slip Controller Designmentioning

confidence: 99%

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Flow-valve modelling and wheel-slip control for an automotive hydraulic anti-lock braking system

Liu

Jing

Chen

2011

Proceedings of the Institution of Mechanical Engineers, Part D:

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Flow-valve modelling and wheel-slip control are investigated for an automotive hydraulic braking system which uses flow valves to supply brake fluid into the wheel cylinder and on/off valves to exhaust the brake fluid. First, the model of the flow valve is built using an experiment method, since its mechanism is difficult to analyse. Furthermore, because of the intrinsic difference between the two distinct valves, a special control problem is raised concerning how to realize wheel-slip control by using a unified strategy. Considering the essential characteristics of the two valves, a hybrid control approach, which contains an ordinary, continuous, state feedback function and a supervisory logic rule, is explored. Then, one feasible solution is obtained based on Lyapunov theory in the Filippov framework, so that the convergence of the control system is strictly guaranteed in theory. The controller has few tuning parameters and it is simple to tune. Illustrative hardware-inthe-loop simulation tests are carried out. The results show that both braking efficiency and ride quality are achieved, even if there are errors in the actuator control as well as in estimation of vehicle speed.

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Section: Wheel-slip Controller Designmentioning

confidence: 99%

“…The composite candidate is of Luré-Postnikov type [18,19], composed of a quadratic function and a potential energy function related to the actuator and the feedback law.…”

Section: Wheel-slip Controller Designmentioning

confidence: 99%

Flow-valve modelling and wheel-slip control for an automotive hydraulic anti-lock braking system

Liu

Jing

Chen

2011

Proceedings of the Institution of Mechanical Engineers, Part D:

View full text Add to dashboard Cite

show abstract

“…The obtained feedback law is explicitly obtained by solving the PDMI analytically, which is constructed by a linear part and an explicit integral part including a nonlinear kernel. Based on the same approach, nonlinear state and output feedback control design problems are derived for linear systems with input saturation (Akasaka and Liu [2008]). It should be noted that the solution of PDMI is constructive, which means that the switching surface with on-off input for the closed-loop system is not unique.…”

Section: Introductionmentioning

confidence: 99%