Synthesis of Time-Optimal and Minimum-Effort Control of Linear Ordinary Systems

The following sections are included:

• Control of Ordinary Linear Systems

• Synthesis of Time-Optimal Control of Linear Ordinary Systems

• Construction of Optimal Feedback Controls

• Time-Optimal Feedback Control of Nonautonomous Systems

  • The underdamped case (α² − ω² < 0)

  • Critically damped system (α² − ω² = 0)

  • Forming the switching curves

  • Terminal manifolds and switching locus

• Synthesis of Minimum-Effort Feedback Control Systems

• General Method for the Proof of Existence and Form of Time-Optimal, Minimum-Effort Control of Ordinary Linear Systems

  • Remarks on the assumptions

• References