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Exponential Stabilization of a Class of Underactuated Mechanical Systems using Dynamic Surface Control
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  • Exponential Stabilization of a Class of Underactuated Mechanical Systems using Dynamic Surface Control
  • Exponential Stabilization of a Class of Underactuated Mechanical Systems using Dynamic Surface Control
저자명
Qaiser. Nadeem,Iqbal. Naeem,Hussain. Amir,Qaiser. Naeem
간행물명
International Journal of Control, Automation and Systems
권/호정보
2007년|5권 5호|pp.547-558 (12 pages)
발행정보
제어로봇시스템학회
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

This paper proposes a simpler solution to the stabilization problem of a special class of nonlinear underactuated mechanical systems which includes widely studied benchmark systems like Inertia Wheel Pendulum, TORA and Acrobot. Complex internal dynamics and lack of exact feedback linearizibility of these systems makes design of control law a challenging task. Stabilization of these systems has been achieved using Energy Shaping and damping injection and Backstepping technique. Former results in hybrid or switching architectures that make stability analysis complicated whereas use of backstepping some times requires closed form explicit solutions of highly nonlinear equations resulting from partial feedback linearization. It also exhibits the phenomenon of explosions of terms resulting in a highly complicated control law. Exploiting recently introduced Dynamic Surface Control technique and using control Lyapunov function method, a novel nonlinear controller design is presented as a solution to these problems. The stability of the closed loop system is analyzed by exploiting its two-time scale nature and applying concepts from Singular Perturbation Theory. The design procedure is shown to be simpler and more intuitive than existing designs. Design has been applied to important benchmark systems belonging to the class demonstrating controller design simplicity. Advantages over conventional Energy Shaping and Backstepping controllers are analyzed theoretically and performance is verified using numerical simulations.