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Multi-objective Sliding Mode Design Using Full-Order Lyapunov Matrix

  • Bijnan Bandyopadhyay
  • Fulwani Deepak
  • Kyung-Soo Kim
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 392)

Introduction

In this chapter, the sliding mode control (SMC) design for a class of continuous-time linear uncertain systems is considered based on the parametric approaches utilizing the Lyapunov (or Riccati-like) inequalities. SMC for the continuous-time linear systems is one of the well-known issues in control theory. However, this chapter addresses a new aspect of SMC for linear uncertain systems and establishes a systematic procedure to design a sliding hyperplane having multiple design objectives.

In the literature, much effort has been made to design sliding modes that satisfy the desired performance criteria. The well-known criteria include quadratic performance optimization [101], guaranteed H2 cost minimization [90], eigen-structure assignment including pole-clustering [25, 31, 37], robustness to parametric uncertainties [88, 64, 107], and so on. Note that all these approaches are concerned with satisfying a single design objective. Moreover, the design objectives have not been presented in a unified framework.

Keywords

Slide Mode Control Sliding Mode Mode Design Uncertain System Guarantee Cost Control 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Bijnan Bandyopadhyay
    • Fulwani Deepak
      • Kyung-Soo Kim

        There are no affiliations available

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