Finite-Time Control of Linear Systems: A Survey
This chapter illustrates various finite-time analysis and design problems for linear systems. Most of this work deals with continuous-time systems. First, some conditions for finite-time stability and boundedness are presented; then we turn to the design problem. In this context, we consider both the state feedback and the output feedback synthesis. For both cases, we end up with some sufficient conditions involving linear matrix inequalities (both algebraic and differential). The last section of the chapter extends the previous results to discrete-time systems.
KeywordsState Feedback Linear Matrix Inequality Feedback Controller Output Feedback State Feedback Controller
Unable to display preview. Download preview PDF.
- 2.Amato F, Ariola M, Cosentino C (2003a) Finite-time control with pole placement. Proc. of the 2003 European Control Conference, CambridgeGoogle Scholar
- 3.Amato F, Ariola M, Cosentino C (2003b) Robust finite-time stabilization via dynamic output feedback: an LMI approach. Proc. of IFAC ROCOND 2003, MilanGoogle Scholar
- 4.Amato F, Ariola M, Cosentino C (2005) Finite-time control of linear time-varying systems via output feedback. SubmittedGoogle Scholar
- 5.Amato F, Ariola M, Cosentino C, Abdallah C, Dorato P (2003) Necessary and sufficient conditions for finite-time stability of linear systems. Proc. of the 2003 American Control Conference, Denver, CO, 4452–4456Google Scholar
- 6.Amato F, Ariola M, Cosentino C, Carbone M (2004a) Finite-time stability of discrete-time systems. Proc. of the 2004 American Control Conference, Boston, MA, 1440–1444Google Scholar
- 7.Amato F, Ariola M, Cosentino C, Carbone M (2004b) Finite-time output feedback control of discrete-time systems. SubmittedGoogle Scholar
- 11.D’Angelo H (1970) Linear time-varying systems: analysis and synthesis. Allyn and Bacon, Boston, MAGoogle Scholar
- 12.Dorato P (1961) Short time stability in linear time-varying systems. Proc. IRE International Convention Record Part 4, 83–87Google Scholar