Control design for a diesel engine model with time delay

The concept of control Lyapunov function has proven a useful tool for designing robust control laws for nonlinear systems. Recently, this concept has been extended to time-delay systems in the form of control Lyapunov Razumikhin functions and control Lyapunov Krasovsky functionals (CLKF). Universal formulas, such as Sontag's formula (1989) and domination redesign formula, apply to CLKF's and achieve robustness properties that include infinite gain margin. In this paper we illustrate the application of a CLKF based design on a model of turbocharged diesel engine with exhaust gas recirculation valve that includes intake-to-exhaust transport delay.

[1]  M. Jankovic,et al.  Extension of control Lyapunov functions to time-delay systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[2]  Mrdjan J. Jankovic,et al.  EGR-VGT control schemes: experimental comparison for a high-speed diesel engine , 2000 .

[3]  Mrdjan Jankovic,et al.  Constructive Lyapunov control design for turbocharged diesel engines , 2000, IEEE Trans. Control. Syst. Technol..

[4]  M. Mahmoud Robust Control and Filtering for Time-Delay Systems , 2000 .

[5]  I. Kolmanovsky,et al.  Controlling nonlinear systems through time delays: An automotive perspective , 1999, 1999 European Control Conference (ECC).

[6]  Mrdjan Jankovic,et al.  Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems , 2001, IEEE Trans. Autom. Control..

[7]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[8]  B. Anderson,et al.  Optimal control: linear quadratic methods , 1990 .

[9]  V. B. Kolmanovski Stability of some nonlinear functional differential equations , 1995 .

[10]  John N. Tsitsiklis,et al.  Guaranteed robustness properties of multivariable, nonlinear, stochastic optimal regulators , 1983 .

[11]  Eduardo Sontag A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .

[12]  S.-I. Niculescu,et al.  Some remarks on the stability of linear systems with delayed state , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).